Which is the equation of the parabola?

coordinate plane with a parabola facing down with vertex at negative 3 comma 0, the point negative 3 comma negative 5 and a horizontal line going through 0 comma 5

y = −one twentieth(x − 3)2
y = −one twentieth(x + 3)2
y = one twentieth(x − 3)2
y = one twentieth(x + 3)2

Answers

Answer 1

Answer:

y = -1/20(x + 3)²

Step-by-step explanation:

Consider the parent function:

y = x²

The graph of the function open up and the vertex is at the origin, the point (0, 0)

Now, if it opens down, it means it is a reflection of the parent function over x axis, hence it has a negative coefficient, the function becomes:

y = -x²

The vertex is shifted to the point (-3, 0). It means the function also translated left by 3 units, the function becomes:

y = -(x + 3)²

Since all the options have 1/20 as a coefficient, our function is:

y = -1/20(x + 3)²

This is option B


Related Questions

Coach Kawa collected data on 5 of his baseball players. The points show shoe size and the number of runs scored this week by the 5 players.

Answers

Answer:

Carmen

Step-by-step explanation:

Given

See attachment for plot

Required

Player with the most runs

The number of runs is represented by the y coordinates.

So, the player with the most runs has the highest y coordinate.

From the attached plot, the y coordinate of each player is:

[tex]Paulo = 5[/tex]

[tex]Rebecca = 4[/tex]

[tex]Nardine = 9[/tex]

[tex]Jason = 10[/tex]

[tex]Carmen = 11[/tex]

By comparison, Carmen has the most runs (11)

30. Work out the next two terms, giving your answers as fractions decimals or percentages. The sequence below is linear. 0.6 75% 9 10 \ (2 marks)

Answers

Answer:

The next two terms are: 1.05 and 1.20

Step-by-step explanation:

Given

[tex]Sequence: 0.6, 75\%, 9/10[/tex]

Required

Write out the next two terms

Since it is a linear sequence; first, we calculate the common difference (d)

[tex]d = 75\% - 0.6[/tex] or [tex]d = 9/10 - 75\%[/tex]

Express as decimals

[tex]d = 0.75 - 0.6[/tex] or [tex]d = 0.9 - 0.75[/tex]

[tex]d = 0.15[/tex] (in both cases)

So, we add 0.15 to 9/10, to get the next term

[tex]Next = 9/10 + 0.15[/tex]

[tex]Next = 0.9 + 0.15[/tex]

[tex]Next = 1.05[/tex]

Add 0.15 to 1.05, to get the next term

[tex]Next = 1.05 + 0.15[/tex]

[tex]Next = 1.20[/tex]

The next two terms are: 1.05 and 1.20

Decide whether or not each equation represents a proportional relationship. a. Volume measured in cups ( ) vs. the same volume measured in ounces ( ): b. Area of a square ( ) vs. the side length of the square ( ): c. Perimeter of an equilateral triangle ( ) vs. the side length of the triangle ( ): d. Length ( ) vs. width ( ) for a rectangle whose area is 60 square units:

Answers

Answer:

Volume measured in cups (c) vs. the same volume measured in ounces (z)

Shandra was measured as 112.582 millimeters tall. Round her height to the nearest tenth of a millimeter.

Answers

Answer:

112.6 millimeters

Step-by-step explanation:

the eight would round 5 up to 6

Hope this helps!

A concert hall has n section, with 135 seats in each section. The concert hall has a total of 945 seats. Write an equation to represent n, the total number of section in the concert hall.

Answers

Answer:

n = 945 / 135

Step-by-step explanation:

n = total seats / number of seat in each section

n = 945 / 135

n = 7

what is the measure of SPT?​

Answers

Answer:

Step-by-step explanation:

The Standard Penetration Test (SPT) is a widely used geotechnical test used to estimate soil strength. A SPT hammer drives a split barrel sampler at the bottom of a drive rod and recovers soil samples.

-x + y = 3 and 3x+ y = -1

Answers

Answer: {y = x + 3, y = -3 x - 1}

{x + 3 = y, 3 x + y + 1 = 0}

Step-by-step explanation:

A stew recipe calls for 3.75 pounds of meat. Jack wants to make 5 batches of stew. How many pounds of meat does he need? Show your work.
PLZ TELLL ME HOW YOU GOT THE ANSWER WITHOUT A CALCULATOR

Answers

Answer 18.75

3.75
X 5
25
35
+15
1875
18.75 Move 2 decimal points from the right

Help me with this math I gotta get some serious help

Answers

Answer:

C

Step-by-step explanation:

Help me with a this and get brain thing the 1st one

Answers

Yes they are similar triangles
The answer is yes they are similar triangles

When determining the volume of a shape, you should use cubic units in your final answer. true or false.

Answers

Answer:

true

Step-by-step explanation:

Answer:

true. you should

Step-by-step explanation:

What is the value of u?

Answers

Answer:

4[tex]\sqrt{2[/tex]

Step-by-step explanation:

Which equation represents a line that passes through (2, -0.5) and has a slope of 3? Oy - 2 = 3(x+ -0.5) 0 y 3= 2(x + 0.5) 0y + 7 = 3(x - 2) Oy + 7 + 2(x - 3)​

Answers

Answer:

y=3x-6.5

Step-by-step explanation:

y-y1=m(x-x1)

y-(-0.5)=3(x-2)

y+0.5=3x-6

y=3x-6-0.5

y=3x-6.5

The slope of a line indicates the measure of the steepness and the direction of the line. The slope of any line can be calculated using any two distinct points lying on the line. The equation is y = 3x-6.5. The correct option is D.

What is equation of a line?

The equation of a line is an algebraic form which represents the set of points, which together form a line in a coordinate system. The equation of line is a linear equation with a degree of one. It can be formed with the help of the slope and a point on the line.

The equation of a line passing through the point and slope is given as:

(y - y₁) = m (x - x₁)

(y - -( 0.5)) = 3 ( x - 2)

(y + 0.5) = 3 (x - 2)

(y + 1/2) = 3 (x - 2)

or

y + 0.5 = 3x - 6

y = 3x - 6.5

Thus the correct option is D.

To know more about equation of a line, visit;

https://brainly.com/question/29201769

#SPJ7

Your question is incomplete most probably your full question was:

Which equation represents a line that passes through (2, -0.5) and has a slope of 3?

A. y - 2 = 3( x + 1/2)

B. y- 3 = 2 ( x+ 1/2)

C. y + 1/2 = 3 (x - 2)

D. y + 1/2 = 2 (x -3)

What is the measure of ZMJK in the figure below?
M
2
7
320
7
K
O A. 58
B. 64
O C. 32
O D. 60
O
E. 15°
F. Cannot be determined
.

Answers

Answer:

Angle MJK = 64°

Step-by-step explanation:

In ∆MJL & ∆LJK,

JL= JL ...(common side)

Angle JML = Angle JKL ....( each 90°)

MJ = JK ....( Both measures 7)

Hence, by SAS criteria, ∆ MJL = ∆ LJk

.°. by C.P.C.T , ∠MJL = ∠LJK = 32°

Also,

∠MJK = ∠MJL+∠LJK

∠MJK = 32°+32°

∠MJK = 64°

Three children shared some
sweet in the ratio of their ages.
The chilren are 4, 7, and 9 years
old. The oldest child gets 54
sweets
How much sweets did they have
altogether:​

Answers

Answer:

120

Step-by-step explanation:

4x, 7x, 9x

9x=54

we need to find 4x+7x+9x

9x=54⇒x=6

4x+7x+9x=20x=20×6=120

Answer:

120 sweets

Step-by-step explanation:

4:7:9

Total Parts = 4+7+9=20

Oldest(9)= 9/20

9/20P= 54 Sweets

Total Sweets = 54/ (9/20) =120

I dont know what To Put here srry
There is a question here it pic

Answers

Answer:

31.4 OR 10π

Step-by-step explanation:

circumference of the circle: 2 × 3.14(π) × radius

the radius in the circle shown is 5

2 × 3.14 × 5 = 31.4

or

2 × π × 5 = 10π

5 x2 is 10 then times pi would be 31.4

A man is four times as old as his son. In five years he will be only three times as old as his
son. What is the man's present age?

Answers

Answer and working out attached, hope this helps

Please ignore the messy laptop..it’s not mine

Anyways can anyone help me..
I’m finishing work before the marking period ends

It’s Special Right Triangles

Answers

answers

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

find any ten rational numbers between -4/6 and 4/6​

Answers

-1/2 -3/6 -2/6 -1/3 -1/6 1/6 1/3 2/6 3/6 1/2

An art teacher has a total of ¾ pound of clay. The teacher splits the clay into 1/12 pound balls and places two at each table in his classroom. How many tables are in his classroom?

Answers

Around sixteen or seventeen

There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a red marble is
4
9
.
There are 32 red marbles in the bag and each is equally likely to be chosen.
Work out how many marbles in total there must be.

Answers

You can use proportion
Red marbles:total marbles
4 9
32 ?
(32*9)/4
288/4
=72 marbles

what is 27 divided by 6 long division
please add an remainder.
don't reply anything other but the actual answer.

Answers

Answer:

4 R 3 or 4.5

Step-by-step explanation:

Guengle works in urban landscape design a truck arrived pouring a cone shaped pile of gravel six feet high with a diameter at the base of 8.2 ft how much gravel was delivered use pie\

Answers

Answer:

[tex]105.56\ ft^3[/tex] of gravel was used.

Step-by-step explanation:

Given that,

The height of a cone, h = 6 feet

The diameter of the base of cone, d = 8.2 feet

Radius, r = 4.1 feet

We need to find the amount of gravel was delivered. The volume of a cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2 h\\\\=\dfrac{1}{3}\times 3.14\times 4.1^2\times 6\\\\V=105.56\ ft^3[/tex]

So, [tex]105.56\ ft^3[/tex] of gravel was used.

A certain country has
578.16 million acres of forest. Every year, the country loses 7.92
million acres of forest mainly due to deforestation for farming purposes. If this situation continues at this pace, how many years later will the country have only 237.6 million acres of forest left? (Use an equation to solve this problem.)

Answers

Answer:

Plzzzz answer fast....

What is the measure of z?
Angles are not necessarily drown to scale.
B
156°
А
0
0

Answers

Answer:

The missing angle is 24 degrees

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

x+156 = 180

Subtract 156 from each side

x+156-156 = 180- 156

x = 24

The missing angle is 24 degrees

if u could help me out i would appreciate it

Answers

The y-intercept is y=3

PLS HELP!!!!

Select the correct comparison.
Set A
Set B
.
. . .
278 10
0268
A. The typical value is greater in set A. The spread is greater in set B.
B. The typical value and the spread are both greater in set A.
C. The typical value and the spread are both greater in set B.
D. The typical value is greater in set B. The spread is greater in set A.

Answers

The answer is c I think

please answer corectly, 20 point question, best answer gets brainliest

Simplify: 12(3h - 3)
36h - 36
36h + 36
36h - 3
3h - 36

Answers

Answer:

36h-36

Step-by-step explanation:

you have to use distributive law/rule

12×3h=36h

12×3=36

36h-36

CAN U PLEASE HELP!!!!

Answers

Answer:

C

Step-by-step explanation:

1/10 = 10/100

So 10/100 + 88/100 = 98/100

PLS HELP! DUE TODAY WILL MARK BRAINLIEST
3. Find the measure of arc JK
Hint - arc LK is a semi-circle!
Find arc JK.
A) 90
B) 116
C) 128
D) 130

Answers

Answer:

KJ = 128°

Step-by-step explanation:

JL = 2×26 = 52°

KL= KJ + JL

KJ = KL-JL

KJ = 180° - 52°

KJ = 128°

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