Identify the function by that reflects f(x)=5x^3-3 across the x axis and shifts up 2 units

Answers

Answer 1
f(x)= 5(-x^3)-3+2
f(x)=5(-x^3)-1
Answer 2

The new function after reflected across the x-axis and shifts up 2 units is g(x)= -5x³+5.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given function is f(x)=5x³-3.

When a function f(x) is reflected over the x-axis, it becomes a new function g(x)= -f(x).

The given function reflected across the x-axis and shifts up 2 units.

Now, g(x)= -(5x³-3)+2

= -5x³+3+2

= -5x³+5

Therefore, the new function after reflected across the x-axis and shifts up 2 units is g(x)= -5x³+5.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ2


Related Questions

- 5/6 * 1/8

Practice and problem solving

Answers

Answer:

- 6 and ?/6

Step-by-step explanation:

Just look at my pictute Haha. And btw it is negative because the fractions did not have the same sign as in one was positive and one was negative! Hope I helped! Please give me brainliest! Have a great day Adios. :)

Can someone help me with this to?

Answers

Part a would be 8x7 = 56 and 60-56= 4 so she would need to sell 4 more games

Part b I’m not sure about. One person would have to but 4 video games I guess

Write the equation of the line in slope intercept form that has a slope of -4 and a
y-intercept of -8.

Answers

Answer:

y=-4x+-8

Step-by-step explanation:

Put me the brainliest please

Solve the system of linear equations by elimination.
-y-10 = 6
5x +y = -10

Answers

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(65,−16)

Equation Form:

x=65,y=−16

Step-by-step explanation:

Hey there!

The solution to the given system is (0, -10)

To solve using elimination, we have to add the equations together, and the "y"s will cancel out, and then solve the equations:

5x - 10 = 6x - 10

Now solve.

Add "10" to both sides:

5x = 6x

Subtract "5x" from both sides

0 = x

Now, we plug in the solved "x" value in an equation to solve for "y".

5(0) + y = -10

y = -10

We now know that the solution to the given system is (0, -10)

Hope this helps! Have an amazing day, and remember, you've got this!!

A doctor collected data on how many hours children of different ages slept in a day. Data for 5 participants are
shown below.

Answers

The answers is the picture I posted. I did in khan academy and it was right.

The data values of the scatter plot are  (x,y) = (1,13), (2,11), (3, 10), (5,9) and (8,8)

How to represent the table on a scatter plot?

The table of values is given as:

x: 1  2  3  5  8

y: 13 11 10 9 8

This means that the data values are:

(x,y) = (1,13), (2,11), (3, 10), (5,9) and (8,8)

See attachment for the scatter plot

Read more about scatter plots at:

https://brainly.com/question/6592115

The distance around a closed shape can be expressed as 3 times the length of side s or 3s draw an example of this geometric shape (what shape do I draw)

Answers

Greetings, Greetings it is a true pleasure to be a part of this app and i have concluded that the process of the independent process was very intriguing the answer is 14 and i really do intend on being a nice volunteers on this app your welcome and have a nice day

If the parent function is fx) = x^3 which transformed function is shown in the graph?
A. g(x) = (x-3)2
B. g(x) = (x+3)^3
C. g(x) = x^3 + 3
D. g(X) = x^3-3​

Answers

Answer:

g(x) = (x-3)³ is the transformed function.

Step-by-step explanation:

Horizontal shift:

If f(x) is the parent function.

Then horizontal shift can be expressed as:

, will shift left   units.

[tex]y = f(x - c)[/tex], will shift [tex]f(x)[/tex] right c units.

Given the parent function

f(x) = x³

From the graph, it is clear that the transformed function is indicating that the parent function has been horizontally shifted right 3 units.

Therefore, according to the rule, [tex]y = f(x - c)[/tex]:

g(x) = (x-3)³ is the transformed function.

From the graph,

The Red graph indicates the parent function i.e. f(x) = x³ The Blue graph indicates the transformed function i.e. g(x) = (x-3)³

It is clear that the blue graph is obtained when the parent function has been horizontally shifted right 3 units.  

Therefore, g(x) = (x-3)³ is the transformed function.


What is the value of y?

Answers

Answer:

[tex] {y} = 6\sqrt{3} \:units [/tex]

Step-by-step explanation:

By Pythagoras Theorem:

[tex] {y}^{2} = {(9 + 3)}^{2} - {(6)}^{2} \\ \\ {y}^{2} = {(12)}^{2} - {(6)}^{2} \\ \\ {y}^{2} = 144 - 36 \\ \\ {y}^{2} = 108 \\ \\ {y} = \sqrt{108} \\ \\ {y} = \sqrt{36 \times 3} \\ \\ {y} = \sqrt{ {6}^{2} \times 3} \\ \\ {y} = 6\sqrt{3}\:units [/tex]

^^^ that also helped me thank you

Which expression shows the prime factorization of 66? please i need help so bad its a test

Answers

Answer:

B

2 times 3 times 11

Step-by-step explanation:



The length of the rectangle is increased by 10%.
The width of the rectangle is increased by 5%.
Find the percentage increase in the perimeter of the rectangle.

(please look at the photo) ​

Answers

Answer:

8% increase

Step-by-step explanation:

The length after the increase:

30 x 1.1 = 33cm

The width after the increase:

20 x 1.05 = 21cm

New perimeter:

2(33 + 21) = 108 cm^2

Old perimeter:

2(30 + 20) = 100 cm^2

Percentage increase of area:

108 / 100 = 1.08 = 8% increase

Answer:

length_20 cm breadth_30 cm

Step-by-step explanation:

width of the rectangular_ 5/:. length of rectangular_10/:. primeter of rectangular_? now perimeter of rectangular_2(l+b). 2(20+30) __100#

PLEASE HELP!! I just need help with b-d!

Answers

Answer:

b) The slope of line is 20

c) The equation in slope-intercept form is: [tex]\mathbf{y=20x}[/tex]

d) i) she would have travelled 1480 m after 74 s

ii) It will take 125 s to travel 2.5 km

Step-by-step explanation:

Part b: Slope of Line

Slope of line can be found using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

From the table we can take any two points and find the slope.

Looking at the graph, the time is x-axis and distance is y-axis

Let we take (0,0) and (8,160)

So, we have: [tex]x_1=0, y_1=0, x_2=8, y_2=160[/tex]

Now finding Slope:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{160-0}{8-0} \\Slope=\frac{160}{8}\\Slope=20[/tex]

So, the slope of line is 20

Part c) Find the equation in slope-intercept form

The general equation of slope-intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept

We have found slope, m = 20

We need to find y-intercept.

y-intercept can be found by putting x-axis (time) equal to zero and check what the y-axis (distance) is:

So, when x =0, y=0

So, y-intercept = 0

The equation will be:

[tex]y=mx+b\\y=20x+0\\y=20x[/tex]

The equation in slope-intercept form is: [tex]\mathbf{y=20x}[/tex]

Part d)

Part i) How far will she have travelled after 74 s

We are given time (x) = 74 s

We need to find distance i.e. y:

Using the equation: [tex]\mathbf{y=20x}[/tex]

Put x = 74

[tex]y=20x\\y=20(74)\\y=1480[/tex]

So, she would have travelled 1480 m after 74 s

Part ii) How long will it take to travel 2.5 km

We are given distance (y) = 2.5 km

We need to find time i.e. x:

Using the equation: [tex]\mathbf{y=20x}[/tex]

Since distance is given in meters but here it is in km

So converting 2.5 km into m

We know that 1 km = 1000m

So, 2.5 km = 2500 m

Now finding time:

[tex]y=20x\\2500=20(x)\\x=\frac{2500}{20}\\x=125[/tex]

So, It will take 125 s to travel 2.5 km

The perimeter of a triangle is 24 ft. The second side is two feet longer than the first. The third side is two feet longer than the second. What are the lengths of the sides?

Answers

Answer:

6; 8; 10

Step-by-step explanation:

First side: x

Second side: x+2

Third side: x+4

x + x + 2 + x + 4 = 24

3x + 6 = 24

3x = 18

x=6

First side: 6

Second side: 8

Third side: 10

6 pounds of candy cost $22.44 how much does it cost of 10 pounds

Answers

ANSWER:
$37.40
This is because
22.44/6= 3.74
and 3.74*10= 37.4
So answer is:
$37.40

Answer:

10 pound=$37.4

Step-by-step explanation:

$22.44 divide by 6 = one pound $3.74

$3.74*10= $37.4

i need help with geometry

Answers

Answer:

B. rectangle, square, quadrilateral, parallelogram, rhombus

Step-by-step explanation:

A square can be defined as a rhombus which is also a rectangle – in other words, a parallelogram with four congruent sides and four right angles. A trapezoid is a quadrilateral with exactly one pair of parallel sides.

An object dropped from a height of h feet will take t seconds to fall all the way to the ground, according to the
following equation.
16t2 - h = 0
The Eiffel Tower in Paris, France is 900 feet tall.
How many seconds will it take an object dropped from that height to fall all the way to the ground?

Answers

Answer:

7.5 seconds.

Step-by-step explanation:

16t^2 - h = 0

16t^2 - 900 = 0

t^2 = 900/16

t = √900/√16

= 30/4

= 7.5 seconds.

#Homework Help Please

Answers

Answer:

can you take a picture of the options?

Step-by-step explanation:

you gotta show the options bro

how do you do this , i need help!!

Answers

Answer:

i dont know

Step-by-step explanation:

Answer:

112º

Step-by-step explanation:

(you may need a calculator for this)

first let's start with what we know, we know a triangle has 180º. We also know a line has 180º. if you know the line has 180º, then ? + 126 º = 180º. so if you subtract 126 from 180, you get 54. now lets look at the triangle, we know the triangle has 180º in total. we already know one angle is 58º, and we just figured out the other is 54º. if you do 54+58, you get 112. remember, the triangle has 180 degrees in total, and two of them equal 112º, so 180 - 112 is 68. almost there! now we have to do the line trick again, because on the line, 68 + x = 180. 180- 68 is 112, so the answer is 112º. Hope this helps :D

Could you guys help me with this I’m stressed out ill give brainliest please don’t answer if you don’t know thank you

Answers

Answer:

$146.66

Step-by-step explanation:

I bopped this into a percentage calculator and this is what I got

Which is the volume of water in the fish tank shown rounded to the nearest
hundredth?

Answers

Answer:

4.69ft³

Step-by-step explanation:

1.5×2.5×1.25=4.69

Describe the strength and sign of the relationship you expect for each pair of variables. Explain your reasoning.

Used car price and original sale price of the car.
Used car price and number of cup holders in the car.
Used car price and number of oil changes the car has had.
Used car price and number of miles the car has been driven.

Answers

Answer:

i dont get it

Step-by-step explanation:

4. The money in Mrs. Finch’s savings account is earning 1.45% interest. Which number below is greater than 1.45%
A) 0.009
B) 0.019
C) 0.0032
D) 0.0117

Answers

B) 0.019

0.019 = 1.9%

Help pls ill mark brainliest

Answers

Answer:

<XWY= 180-23

Step-by-step explanation:

angles on a straight line add up to 180!

hope it helps! please mark me brainliest

thank you! have a good day ahead

if u follow me, I will follow u back!

6 and 6x are like terms
true or false

Answers

Answer:

False

Step-by-step explanation:

Like terms have the same variable and are raised to the same exponent, and 6x has a variable of x while 6 has none at all, so they are not like terms.

PLEASEEEEEEE HELPPPPPPPPPPPPP

Answers

A,paper crane B, 6

Step-by-step explanation:

the inequality sign is less than or squeal the highest number u can get is 6 before going higher than 30

Solve the following system of equations:
y=2x + 1
y = -x+4

x= ?
y=?​

Answers

Answer:

x= 1, y=3

Step-by-step explanation:

y= 2x +1

y= -x +4

Those two equation are in a system that means they need to be true in the same time. Just like I would say look for a car that is red and is a truck in this case we look for x and y is true that y = 2x+1 and is true that y= =x+4.

so y= 2x+1 but y is -x+4 so substitute

-x+4 = 2x +1,  add x on both sides

4= 2x+x +1, subtract 1 from both sides

4-1 = 2x +x, combine like terms

3 = 3x , divide both sides by 3

x=1

if x=1 we substitute in y= -1 +4 = 3

On Saturday, Darnel earned $65 raking his neighbor's leaves and cleaning her garage. On Sunday, he earned $25 helping another neighbor rake leaves. He deposited his earnings in his bank account on Monday. What was the total change in Darnel's bank account relative to where it started?

Answers

Answer:

$90

Step-by-step explanation:

Calculation for the total change in Darnel's bank account relative to where it started

Based on the information given what will be the total change in Darnel's bank account relative to where it started will be the total amount he earned on both Saturday and Sunday

Total change=$65+$25

Total change=$90

Therefore the total change in Darnel's bank account relative to where it started will be $90

(x^3+3x^2-x+2)/(x-1)

Answers

Answer:

x^2 + 4x + 3 with a remainder of 5

Help I don’t get it
Math

Answers

Answer:

Thats right

Step-by-step explanation:

You typed the right answer :/

Need help asapppppppp

Answers

Answer:

It is not a function.

Step-by-step explanation:

Input (x)

Output (y)

An input can never have two outputs

2 = 20

2 = 40

makes it not a function

10,10,10,20 i hope that helps but if not its cause i dont really understand the question


please help

g(x) = -x - 1

Answers

Answer:

g(x) = -1

Hope this helps.

Step-by-step explanation:

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