Quiz about Unit 2 Quadratics Writing & Transformations

Question 1

Does the graph of this equation widen or narrow from the parent function?

y = 3/4x²

Accepted Answer

widen

Answer

neither

Answer

narrow

Question 2

What is the vertex of this equation?
y = -(x - 5) + 4

Accepted Answer

(5, 4)

Answer

(4, 5)

Answer

(-5, 4)

Answer

(4, -5)

Question 3

Does the graph of this equation widen or narrow from the parent function?
y= 5(x - 5)² + 3

Accepted Answer

narrow

Answer

widen

Answer

neither

Question 4

What is the equation in vertex form?

Accepted Answer

y = -4(x - 3)² - 4

Answer

y = -4(x + 3)² - 4

Answer

y = -4(x - 3) - 4

Answer

y = -4(x + 3)² + 4

Question 5

Write the equation of the quadratic function that has a x-intercepts at 2 and 4 and passes through the point (3, 4).

Accepted Answer

y = -4(x - 2)(x - 4)

Answer

y = -4(x + 2)(x + 4)

Answer

y = 4(x - 2)(x - 4)

Answer

y = -0.25(x - 2)(x - 4)

Question 6

Match the description to its equation.
- moves down 3

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 7

Match the description to its equation.
Moves right 7

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 8

If the blue is f(x)=x^2,the red must be

Accepted Answer

g(x)=(x-3)²

Answer

g(x)=(x+3)²

Answer

g(x)=x2+3

Answer

g(x)=x2-2

Question 9

If the blue is f(x)=x^2,then the red must be

Accepted Answer

g(x)=x2-5

Answer

g(x)=x2+5

Answer

g(x)=(x-5)²

Answer

g(x)=(x+5)²

Question 10

Write the equation of the quadratic function that has a vertex of (-5, 9) and passes through the point (-7, -15).

Accepted Answer

y = -6(x + 5)² + 9

Answer

y = 6(x + 5)² + 9

Answer

y = -6(x - 5)² + 9

Answer

y = 6(x - 5)² + 9

Question 11

Write the equation of the quadratic function that has a x-intercepts at (2, 0) and (4, 0) and passes through the point (3, 4).

Accepted Answer

y = -4(x - 2)(x - 4)

Answer

y = -4(x + 2)(x + 4)

Answer

y = 4(x - 2)(x - 4)

Answer

y = -0.25(x - 2)(x - 4)

Question 12

Which of the following is the correct equation for the given graph?

Accepted Answer

y > -x² + 8x - 15

Answer

y > -x² - 2x + 3

Answer

y < x² - 8x + 17

Answer

y > x² + 8x + 17

Question 13

Which of the following is the correct equation for the given graph?

Accepted Answer

y = -2x² + 8x - 11

Answer

y = -2x² + 12x - 20

Answer

y = 2x² + 8x + 5

Answer

y = 2x² - 8x + 5

Question 14

Which of the following is the correct equation for the given graph?

Accepted Answer

y = 2x² - 8x + 12

Answer

y = -2x² + 8x - 4

Answer

y = 2x² + 8x + 12

Answer

y = 2x² + 16x + 30

Question 15

Which of the following is the correct equation for the given graph?

Accepted Answer

f(x) = x² + 4x + 3

Answer

f(x) = x² - 4x + 3

Answer

f(x) = -x² - 4x - 5

Answer

f(x) = -x² + 4x - 5

Question 16

Find the axis of symmetry

f(x)= -2x²- 16x + 3.

Accepted Answer

x = -4

Answer

x = -8

Answer

x = 8

Answer

x = 4

Question 17

Find the axis of symmetry

f(x) = -2(x + 2)(x - 4)

Accepted Answer

x = 1

Answer

x = -2

Answer

x = 4

Answer

x = 18

Question 18

Find the vertex

f(x) = - (x + 5)(x - 1)

Accepted Answer

(-2, 9)

Answer

(5, -1)

Answer

(-5, 1)

Answer

(2, -7)

Question 19

Find the vertex

y = 3(x + 5)² - 4

Accepted Answer

(-5, -4)

Answer

(5, -4)

Answer

(-15, -4)

Answer

(15, -4)

Question 20

Find the vertex

y = 2x²+ 8x + 20

Accepted Answer

(-2, 12)

Answer

(-2, 20)

Answer

(4, 104)

Answer

(-4, 20)

Question 21

What is the equation in vertex form?

Accepted Answer

y = -4(x - 3)² + 4

Answer

y = -4(x + 3)² - 4

Answer

y = -4(x - 3) - 4

Answer

y = -4(x + 3)² + 4

Question 22

Given the zeros below, what is the quadratic equation?

Accepted Answer

y=x² +9x +8

Answer

y=x² +9x -8

Answer

y=x² -9x -8

Answer

y=x² -9x-8

Question 23

Write the equation of the quadratic function that has a vertex of (4,-1) and passes through the point (8, 3).

Accepted Answer

y = 1/4(x - 4)² - 1

Answer

y = 4(x - 4)² - 1

Answer

y = 4(x + 4)² - 1

Answer

y = 1/4(x + 4)² - 1

Question 24

Transfer from Standard Form to Vertex Form: n² - 4n - 15 = 6

Accepted Answer

(n - 2)² - 25

Answer

(n + 2)² +25

Answer

(n - 2)² - 13

Answer

(n - 2)² + 13

Question 25

Convert to vertex form.
y = 3x² +6x - 5

Accepted Answer

y=3(x+1)² - 8

Answer

y=3(x-1)² - 8

Answer

y=3(x+2)² - 8

Answer

y=3(x-2)² - 8

Question 26

What is the equation of the table?

Accepted Answer

y=x² - 5x + 6

Answer

y=-5x+10

Answer

y=-5x² + 10x + .89

Question 27

Which quadratic function best represents the graph that has x-intercepts at 9 and 1 and passes through the point (0, -18)?

Accepted Answer

y = -2(x - 9)(x - 1)

Answer

y = x² + 9x - 18

Answer

y = -2(x + 9)(x + 1)

Answer

y = 2(x + 9)(x + 1)

Question 28

Which quadratic function in vertex form best represents the graph that has a vertex at (4,-1) and passes through the point (8, 3)?

Accepted Answer

f(x) = 1/4(x - 4)² - 1

Answer

f(x) = 4(x - 4)² - 1

Answer

f(x) = 4(x + 4)² - 1

Answer

f(x) = 1/4(x + 4)² - 1

Question 29

Which quadratic equation best represents the graph that has a y-intercept of (0, -6)?

Accepted Answer

y = -(x + 1)(x + 6)

Answer

y = -(x - 1)(x - 6)

Answer

y = (x + 1)(x + 6)

Answer

y = -6(x + 1)(x + 6)

Question 30

A quadratic equation has a vertex form of y = -2(x - 1)² - 2. Which of the following is equivalent to this form?

Accepted Answer

y = -2x² + 4x - 4

Answer

y = 2x² - 4x + 4

Answer

y = -2x² - 4x + 4

Answer

y = 2x² + 4x - 4

Question 31

Write the explicit function for the given quadratic table.

Accepted Answer

f(x)=2x²+3x-5

Answer

f(x)=2x²+4x-1

Answer

f(x)=x²+2x

Answer

f(x)=x²+4x+0

Question 32

Write the explicit function for the given quadratic table.

Accepted Answer

f(x)=3x²+1x+2

Answer

f(x)=3x²-3x+6

Answer

f(x)=6x²+2x-2

Answer

f(x)=x²+4x+1

Question 33

Write the explicit function for the given quadratic table.

Accepted Answer

f(x)=x²-5x+7

Answer

f(x)=2x²-3x+2

Answer

f(x)=x²-1x+3

Answer

f(x)=x²+4x+1

Question 34

Find the quadratic function with vertex (2, 0) and passing through (1, 3).

Accepted Answer

y = 3x² - 12x + 12

Answer

y = 3x² + 12x - 12

Answer

y = - 3x² + 6x - 1

Answer

y = 3x² - 6x + 9

Question 35

Find the quadratic function passing through the points (0, -3), (1, 2), and (2, -1).

Accepted Answer

y = - x² + 3

Answer

y = - x² + 2x - 3

Answer

y = x² - 2x + 3

Answer

y = x² - 3

Question 36

Write the equation of the parabola shown.

Accepted Answer

y = 2x² + 4x + 5

Answer

y = 2x² + 4x - 5

Answer

y = 2x² - 4x + 5

Answer

y = 2x² - 4x - 5

Question 37

Write the equation of the parabola that has vertex (0, 0) and directrix y = ¹/₄. Then find the value of the function when x = ³/₂.

Accepted Answer

y = - ⁹/₄

Answer

y = ⁹/₄

Answer

y = - ⁹/₁₆

Answer

y = ⁹/₁₆

Question 38

Write the equation of the parabola that has vertex (-1, 3) and directrix y = 5.

Accepted Answer

y = - ¹/₈x² - ¹/₄x + ²³/₈

Answer

y = - ¹/₈x² + ¹/₂x - ¹⁵/₈

Answer

y = - ¹/₈x² - ¹/₂x + ¹⁵/₈

Answer

y = - ¹/₈x² - ¹/₄x - ²³/₈

Question 39

Write the equation of the parabola that vas vertex (-1, 3) and directrix y = 5.  Then find the value of the function when x = -9.

Accepted Answer

y = - 5

Answer

y = - 16

Answer

y = - 7.5

Answer

y = - 10.75

Question 40

Write the equation of a parabola that has vertex (2, 1) and focus (2, 4).

Accepted Answer

y = ¹/₁₂x² - ¹/₃x + ⁴/₃

Answer

y = ¹/₁₂x² - ¹/₃x - ⁴/₃

Answer

y = ¹/₁₂x² + ¹/₃x + ⁴/₃

Answer

y = ¹/₁₂x² + ¹/₃x - ⁴/₃

Question 41

Write the equation of the parabola that has focus (2, 2) and directrix y = -2. Then find the value of the function when x = -14.

Accepted Answer

y = 32

Answer

y = 31

Answer

y = 28.25

Answer

y = 27.25

Question 42

What is the YELLOW point called?

Accepted Answer

Focus

Answer

Vertex

Answer

Directrix

Answer

Axis of Symmetry

Question 43

What is the YELLOW line called?

Accepted Answer

Directrix

Answer

Vertex

Answer

Focus

Answer

Axis of Symmetry

Question 44

What is the BLUE point called?

Accepted Answer

Vertex

Answer

Focus

Answer

Directrix

Answer

Axis of Symmetry

Question 45

Y = ax² + bx + c is called the ______________ form of a quadratic equation.

Accepted Answer

Standard

Answer

Vertex

Answer

Intercept

Answer

Usual

Question 46

Y = a(x-h)² + k is called the ______________ form of a quadratic equation.

Accepted Answer

Vertex

Answer

Intercept

Answer

Standard

Answer

Usual

Question 47

The values of x that make a quadratic equation ax²+ bx + c =0 true are called __________.

Accepted Answer

All of these

Answer

Solutions

Answer

Roots

Answer

Zeros

Question 48

The parabola shown has ____ solution(s).

Accepted Answer

1

Answer

0

Answer

2

Answer

3

Question 49

A parabola is the set of all points that are equidistant from a _____ and a _____ not on the _____.

Accepted Answer

line, point, line

Answer

point, line, point

Answer

curve, point curve

Answer

point, curve, point

Question 50

Write an equation in Standard Form

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 51

Write an equation in Standard Form

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 52

Write an equation in Standard Form

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 53

Write an equation in vertex form

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 54

Write an equation in vertex form

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 55

Write an equation in vertex form

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 56

Write the equation in (h, k) form

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 57

Write the equation in vertex form:

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 58

Write the equation in vertex form:

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 59

Graph the equation

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 60

Graph the equation

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 61

Graph the equation

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 62

Graph the equation

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 63

Graph the equation

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 64

Graph the equation

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Unit 2 Quadratics Writing & Transformations

114 questions

Does the graph of this equation widen or narrow from the parent function?
y = 3/4x²

What is the vertex of this equation?
y = -(x - 5) + 4

Does the graph of this equation widen or narrow from the parent function?
y= 5(x - 5)² + 3

What is the equation in vertex form?

Write the equation of the quadratic function that has a x-intercepts at 2 and 4 and passes through the point (3, 4).

Match the description to its equation.
- moves down 3

Match the description to its equation.
Moves right 7

If the blue is f(x)=x^2,the red must be

If the blue is f(x)=x^2,then the red must be

Write the equation of the quadratic function that has a vertex of (-5, 9) and passes through the point (-7, -15).

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Unit 2 Quadratics Writing & Transformations

114 questions

Does the graph of this equation widen or narrow from the parent function?y = 3/4x2

What is the vertex of this equation?y = -(x - 5) + 4

Does the graph of this equation widen or narrow from the parent function?y= 5(x - 5)2 + 3

What is the equation in vertex form?

Write the equation of the quadratic function that has a x-intercepts at 2 and 4 and passes through the point (3, 4).

Match the description to its equation.- moves down 3

Match the description to its equation.Moves right 7

If the blue is f(x)=x2, the red must be

If the blue is f(x)=x2, then the red must be

Write the equation of the quadratic function that has a vertex of (-5, 9) and passes through the point (-7, -15).

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Does the graph of this equation widen or narrow from the parent function?
y = 3/4x²

What is the vertex of this equation?
y = -(x - 5) + 4

Does the graph of this equation widen or narrow from the parent function?
y= 5(x - 5)² + 3

Match the description to its equation.
- moves down 3

Match the description to its equation.
Moves right 7

If the blue is f(x)=x^2,the red must be

If the blue is f(x)=x^2,then the red must be