Select the correct answer.
The function g(x) = x2 is transformed to obtain function h:

h(x) = g(x) + 1.

Which statement describes how the graph of h is different from the graph of g?

A.
The graph of h is the graph of g vertically shifted down 1 unit.
B.
The graph of h is the graph of g vertically shifted up 1 unit.
C.
The graph of h is the graph of g horizontally shifted right 1 unit.
D.
The graph of h is the graph of g horizontally shifted left 1 unit.

Answers

Answer 1

Answer:

the answer is D

Step-by-step explanation:

Answer 2

The graph of h is the graph of g horizontally shifted left 1 unit.

Given that,

The function [tex]\rm g(x) = x^2[/tex]is transformed to obtain function h:

h(x) = g(x) + 1.

We have to determine,

Which statement describes how the graph of h is different from the graph of g?

According to the question,

The first transformation is vertical transformation.

This type of transformation shifts the graph up or down relative to the parent graph.

The graph will shift up if we add a positive constant to each y- coordinate whereas the graph will shift down if we add a negative constant.

This type of transformation shifts the left or right relative to the parent graph.

This takes place when we add or subtract coordinates from the x-axis before the function is applied.  

The h(x) is horizontally shifted left 1 unit

The equation is,

[tex]\rm h(x) = g(x)-1[/tex]

The h(x) is horizontally shifted left 1 unit,

The equation is,

[tex]\rm h(x) = g(x)+1[/tex]

Hence, The graph of h is the graph of g horizontally shifted left 1 unit.

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Related Questions

If a bag has 12 red marbles, 13 green marbles, and 5 blue marbles, what is the probability that in one draw you will NOT select a red marble?

Answers

Answer: 3/5 or 60% chance of not drawing red

Step-by-step explanation:

12 red

13 green

5 blue

30 total

30 - 12 = 18

so 18/30 or 3/5

A 6-foot tall man has a 9-foot shadow. At the same time, a tree he is standing next to has a 30-foot shadow.
A. 20 ft
B. 27 ft
C. 45 ft
D. 21 ft
E. 24 ft


Answers

Answer:

A.20 ft

Step-by-step explanation:

the shadow is double the height of the object.

A bird sanctuary has 14 bags of bird seed. Each bird feeder holds 1/6 of a bag. How many bird feeders can be filled with the bird seed?

Answers

Answer:

84 bird feeders can be filled

Step-by-step explanation:

Considering there is 14 bags, all you'd have to do is see how many bird feeders can be filled... and to do that, just multiply 14 x 6, because it every bag fills up 6 feeders.  14 x6 =84 bird feeders can be filled.

 

Predict how many times you will roll a number less than 4 if you roll a standard number cube 200 times.
Round to the nearest integer, if necessary.
times.
You will roll a number less than 4 about

Answers

Answer:

100 times

Step-by-step explanation:

you have a 3/6 chance of rolling less than 4 once

so you multiply 3/6 times 200- you get 600/6

you simplify 600/6 to 100

100 times is the answer.

Have a fantasical day.

HELP ASAPUse the table to identify values of p and q that can be used to factor
x2 + x - 12 as (x + p)(x + 4).
P
p +
2.
-2.
9
-6
6
4
3
-1
1
-3
4
A. 2 and -6
B. -3 and 4
C. -2 and 6
D. 3 and -4

Answers

the answer would be b

Option B is correct, the values of p and q in expression are -3 and 4.\

The given expression is x²+x-12.

This is expressed as (x+p)(x+q)

We have to find the values of p and q.

x²+x-12

Let us factorize the expression:

x²+4x-3x-12

x(x+4)-3(x+4)

(x-3)(x+4)

When we compare this with (x+p)(x+q) we get:

p=-3 and q=4

Hence, the values of p and q in expression are -3 and 4.

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Which statement is true about this data set?


{70, 67, 66, 65, 66, 78, 68, 71, 80, 78, 72}




80 is an outlier because it is greater than the upper fence.

This data set has no outliers.

65 and 80 are both outliers because 65 is less than the lower fence and 80 is greater than the upper fence.

65 is an outlier because it is less than the lower fence.



PLS HELP I WILL GIVE Brainliest

Answers

Answer:

Option 3 - This data set has no outliers.

Step-by-step explanation:

Given : The data {70, 67, 66, 65, 66, 78, 68, 71, 80, 78, 72}  

To find : Which statement is true about this data set?

Solution :

The statements is all about outlier.

So, we find the outlier of the data.

Step 1- Arranging the data from lowest to highest,

{65,66,66,67,68,70,71,72,78,78,80}  

Step 2 - Find the median of the data  

As the data is odd numbers so the median is  th term.

term.

6th term is 70 ⇒ Median =70

Step 3 - To find Upper quartile and lower quartile  

Lower quartile data set is the median of the upper terms from median

{65,66,66,67,68}

Median of the set is 66

∴    

Upper quartile data set is the median of the lower terms from median

{71,72,78,78,80}

Median of the set is 78  

∴    

Step 4 - To find the interquartile range.

Step 5 - To find the fences for the data set.  

The formula to find range is  

Substitute the values, we get

 

 

The range in which data lies is [48,96]

We have seen that all the data lie inside the range.

Therefore, This data set has no outliers.

Hence, Option 3 is correct.

pls give me brainlist

PLEASE HURRY!!!
NO LINKS OR FILES, JUST THE CORRECT ANSWER AND I WILL GIVE BRAINLIEST IF THERE ARE ANY LINKS I'LL REPORT YOUU

Answers

Answer:

so the 2 questions i see are surveys so... you have to answer them with truth on your own self

Step-by-step explanation:

Answer:

hi i am the person that you are talking to with all the comments give him brainliest

Step-by-step explanation:

Can you please help me out????

Answers

Answer: B.) 19.6 feet.

Draw a right triangle ABC. AB will represent the ladder, with point A being on the ground and point B being against the building.

Label: AC=6 ft,  m<A=73° and <C is a right angle.

Use the trig mnemonic "SOHCAHTOA" to identify that BC/AC=tan<A. So BC, which is the height the ladder reaches, equals AC*tan<A=6*tan(73)=19.6 feet.

Step-by-step explanation:

PLEASE HELP


I am quite confused

Answers

Im guessing it’s letter B
I actually believe it’s A because you have the smaller number in front for both equations

PLEASE HELP

WILL GIVE BRAINLIEST

Answers

IM NOT A BOT I SWEAR.

THIS WEBSITE HELPS https://www.calculatorsoup.com/calculators/math/mixednumbers.php

10 1/12


step-by-step explanation:

18 1/2-8 5/12= 10 1/12

Hope this helps!

I I need help on number 25 please

Answers

22 is the answer because 1.3 mill minus 475k, divided by 37.5 thousand is 22

Answer:

22

Step-by-step explanation:

First write an expression to represent the situation.

$1,300,000 ≤ $475,000 + $37,500a

This expression works because the least amount of money that can make to remain profitable is 1,300,000. They already have 475,000 of that and every a (number of ads sold) is $37,500

Using this equation, solve for a.

1300000 ≤ 475000 + 37500a

First, subtract 475000 from both sides.

825000 ≤ 37500a

Then divide both sides of the equation by 37500 to isolate a.

22 ≤ a

22 is less than or equal to a. So they must sell at least 22 ads to remain profitable.

What is the area of the parallelogram?



36 m 2
18 m 2
24 m 2
72 m 2

Answers

Answer:

I would need the picture please

Step-by-step explanation:

Thank you! Let me know when you've added the question!

You can just give me the height and base.

Mackenzie surveys 80 of her classmates and finds that 85% of them like sports. She also finds that 75% of her 84 relatives like sports. How many
more of her classmates like sports as compared to her relatives?

Answers

Classmates

80 of 85%
80 times 85/100 = 68

Relatives
84 of 75%

84 times 75/100 = 63

68-63 = 5 more of her classmates like sports than her relatives

BEST ANSWER GETS BRAINLY

Answers

Answer:

The first answer choice is correct

Step-by-step explanation:

i think i did this before
i think it’s a.

Solve the right triangle

Answers

Answer:

36.1

Step-by-step explanation:

53.9 + 36.1 = 90

Answer: 36.1
180-90+53.9= 36.1

Which point on the number line has the least absolute value?​

Answers

Answer:

P

Step-by-step explanation:

The least absolute value is what number is closest to zero.

HELP A MF OUT!!!! NO LINKS THOO

Answers

Answer:

1-m< +m<2 =180°

2-congruent

3-supplementary

4-m<1 + m<3 = 180°

5-m<2 + m<3 = 180°

Mrs. Benton Treats herself to her today at the nail salon swan. The services she receives arm manicure for $25 and a pedicure for $30 she ask for a special nail polish that cost five dollars extra she decides to leave a 30% tip which expression can we use a calculator the tip

Answers

25+30+5=60
To calculate the tip 0.30(60) which equals 18

plz help me illl give brainlist 5.0 and thanks plz help rn !!!

Answers

Answer:

4+4+1

Step-by-step explanation:

Answer:

4 + 4 + 1

Step-by-step explanation:

4 + 4 + 1 = 9

4 + 5 = 9

They both equal up to 9

I WILL GIVE BRAINLIEST PLS HELP!
Melissa and Jaime are playing a game in geometry class. Melissa draws the shape below on plain white paper and has to give Jaime directions to draw a congruent shape.


I. The location of each vertex on a coordinate plane


II. The shape is a triangle. Its two longest sides measure 6 inches and 3√3 inches.


III. m∠MEL = 90°, m∠ELM = 30°, and LM = 6 inches


Which of the following descriptions of Melissa's triangle is adequate for Jaime to draw a congruent shape?

Answers

Answer:

III. m∠MEL = 90°, m∠ELM = 30°, and LM = 6 inches

Step-by-step explanation:

It´s lll Because to make a congruent shape one angle should be 90 and the longest side should be 6 inches. one angle should equal angle ELM.

So, by AAS criteria it would be congruent.

---------------------------

hope it helps...

have a great day!!

Answer:

III. m∠MEL = 90°, m∠ELM = 30°, and LM = 6 inches

Step-by-step explanation:

hope it helps you...

PLSSS HELP ASAP WILL GIVE BRAINLIEST
Solve by completing the square: 5x² + 20x + 32 = 0

Answers

Answer:

5x2 + 20x + 32 = 0 - 16977324

Step-by-step explanation:

C= 7h+125 The Equation above keeps the amount CN dollars an electrician charges for a job it takes eight hours Miss Sanchez and Mr. Online each hired this electrician the electrician worked two hours longer on the Sanchez job then on Mr. Ronald trump how many more did the electrician charge Miss Sanchez than Mr.Roland and

Answers

Answer:

$14

Step-by-step explanation:

The total amount, C charged by an electrician for h hours of work is ;

C= 7h+125

If the electrician spends 2 more hours on Sanchez job than Ronald, then the amount Mrs Sanchez paid more than Ronald can be obtained thus:

From the equation :

C= 7h+125

The slope relation with number of hours worked gives the change in amount paid for differebt work hours. Since the intercept is constant, we ignore its value in this exercise.

For 2 more hours of work :

Additional amount = 7h ; h = 2

7h = 7 * 2 = 14

Hence, Mrs Sanchez pays $14 more.

what is the answer to 4x-3=37

Answers

Answer:

4x - 3 = 37

+3         +3

4x = 40

Divide by 4 on both sides:

X = 10

Step-by-step explanation:

x=10

.......................

Write a rule for the n th term of the sequence for which az = 4 and r= 2.
=

Answers

Answer:

Step-by-step explanation:

The general form for a geometric sequence is:

a

n

=

a

1

r

n

1

With this, you can write a system of equations:

a

2

=

a

1

r

2

1

a

5

=

a

1

r

5

1

2

=

a

1

r

1

0.25

=

a

1

r

4

r

4

r

1

=

0.25

2

r

3

=

0.125

r

=

0.5

Now, find the first term.

a

2

=

a

1

0.5

1

2

=

a

1

0.5

a

1

=

4

Using the formula stated above, we get:

a

n

=

4

0.5

n

1

Help please I will give brainlestttttt

Answers

The answer is c. Explain in pic

Answer:

A

Step-by-step explanation:

hope this helps

-2x - 8 > 14

add 8 to 14 and get 22

-2x > 22

then divide 22 by -2 and get x < -11

60
What is the sum of the series E3n?

Answers

I believe it’s b or the third option

The solution is Option D.

The sum of the arithmetic sequence is 5,490

What is Arithmetic Progression?

An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"

The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁

Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Given data ,

Let the sum of the arithmetic progression be represented as S

Now , the number of terms n = 60

Let the first term be a₁ = 3n , when n = 1

a₁ = 3

Now , the second term a₂ = 3n , when n = 2

a₂ = 6

So , the common difference of the arithmetic sequence d = second term - first term

d = 6 - 3

d = 3

Now , the sum of the first n terms of the sequence is

Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Substituting the values in the equation , we get

S₆₀ = ( 60/2 ) [ 2 ( 3 ) + ( 60 - 1 ) ( 3 ) ]

On simplifying the equation , we get

S₆₀ = 30 [ 6 + 59 ( 3 ) ]

S₆₀ = 30 [ 6 + 177 ]

S₆₀ = 30 ( 183 )

S₆₀ = 5490

Therefore , the value of S is 5,490

Hence , the sum of the arithmetic sequence is 5,490

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PLEASE HELP ASAP!!! will mark brainlest!

Answers

Here are the coordinates, mark the ones on the left as x, and the ones on the right as y, but make sure they are lined up with each other: (-2, 11), (-1, 6), (0, 3), (1, 2), (2, 3), (3, 6). Then plot the points on the graph and connect them.

What is the perimeter of thsi shape ??!

Answers

Answer:

D. 180 mm

Step-by-step explanation:

At the bottom of the shape, we can see the base is 60mm. The next side(left or right) is shown as 20mm. The next side right before the missing piece is 20mm. The width of the missing piece is 10mm. The length of the missing piece is 20mm because:

20 + 20 = 40

60mm - 40mm = 20mm

60mm + 20mm + 20mm + 10mm + 20mm + 10mm + 20mm + 20mm

180 mm

HOw do I find the range of a funtion

Answers

B,

because you start off with no pairs of waited plates, then add them (Which is 20 for both) and that is the range

Use the dropdown to complete the following inequality​

Answers

Answer:

c+2<1

Step-by-step explanation:

Since c is located slightly less than -1, and -1+2 = 1; then adding 2 to c would make it slightly less than 1.

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