Quiz about 8.1, 8.2, 8.4 Vertex Form of Quadratic Functions

Question 1

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

Accepted Answer

(-5, -4)

Answer

(5, -4)

Answer

(-15, -4)

Answer

(15, -4)

Question 2

What is the equation of this graph?

Accepted Answer

f(x) = (x - 1)² - 5

Answer

f(x) = (x -5)² + 1

Answer

f(x) = (x + 1)² - 5

Answer

f(x) = (x + 5)² +1

Question 3

What is the green dashed line called?

Accepted Answer

axis of symmetry

Answer

roots or x-intercepts

Answer

parabola

Answer

line of dashes

Question 4

Which equation has a vertex of (-3, 4)?

Accepted Answer

y = 2(x+3)²+ 4

Answer

y = (x+3)² - 4

Answer

y = (x-3)² + 4

Answer

y = 2(x - 3)² + 4

Question 5

What is the equation for axis of symmetry?

Accepted Answer

x=3

Answer

y=3

Answer

x=5

Answer

x=1

Question 6

What is the vertex?

Accepted Answer

(-2,-1)

Answer

(-1,-2)

Answer

(-3,-1)

Answer

(2,1)

Question 7

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

Accepted Answer

f(x) = (x + 2)² - 1

Answer

f(x) = (x - 2)² - 1

Answer

f(x) = -(x + 2)² - 1

Answer

f(x) = -(x - 2)² - 1

Question 8

Explain the translation:

y = x² - 7

Accepted Answer

translated down 7

Answer

translated left 7

Answer

translated right 7

Answer

translated up 7

Question 9

Explain the translation:

y = (x + 9)² + 5

Accepted Answer

translated left 9, up 5

Answer

translated left 9, down 5

Answer

translated right 9, up 5

Answer

translated right 9, down 5

Question 10

Explain the translation:

y = (x + 14)²

Accepted Answer

translated left 14

Answer

translated up 14

Answer

translated down 14

Answer

translated right 14

Question 11

Identify the transformations of the graph y = -3x². Select ALL that apply.

Accepted Answer

Vertical stretch by a factor of 3.

Accepted Answer

Reflection in x-axis.

Answer

Vertical shrink by 3.

Answer

Shifts right 3.

Answer

Shift up 3.

Question 12

What is the quadratic function of this graph?

Accepted Answer

y = -(x - 1)² - 4

Answer

y = -(x + 1)² - 4

Answer

y = -(x + 1)² + 4

Answer

y = (x + 1)² + 4

Question 13

What is the domain of the function y = x² + 3?

Accepted Answer

All Real Numbers

Answer

x>3

Answer

x<3

Answer

It is impossible to determine.

Question 14

A parabola has a vertex at (-3, 2). Where is the axis of symmetry?

Accepted Answer

x = -3

Answer

y = -2

Answer

x = 3

Answer

y = 2

Question 15

The graph of a quadratic function is called a

Accepted Answer

Parabola

Answer

Vertex

Answer

Axis of Symmetry

Answer

Vertex Form

Question 16

Which quadratic function is represented by the graph?

Accepted Answer

y = -2(x + 4)² + 5

Answer

y = (x - 4)² + 5

Answer

y = (x + 4)² + 5

Answer

y = -2(x - 4)² + 5

Question 17

What are the green dots called?

Accepted Answer

Zeros

Answer

Axis of symmetry

Answer

Vertex

Answer

Parabola

Question 18

What is the green dot on the parabola called?

Accepted Answer

Vertex

Answer

Zero

Answer

Axis of symmetry

Answer

Domain

Question 19

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

Accepted Answer

f(x) = -3(x - 2)² - 4

Answer

f(x) = -(x + 2)² - 4

Answer

f(x) = -(x - 2)² - 4

Answer

f(x) = -3(x + 2)² - 4

Question 20

Does this graph in the back have maximum or minimum value?

Accepted Answer

minimum

Answer

maximum

Answer

neither

Answer

both

Question 21

What are the zeros? Select ALL that apply.

Accepted Answer

x= 5

Accepted Answer

x= 3

Answer

x= 0

Answer

x= 4

Answer

x= -3

Question 22

What is the vertex of the quadratic y = (x - 5)² ?

Accepted Answer

(5, 0)

Answer

(0, 5)

Answer

(5, 1)

Answer

(-5, 0)

8.1, 8.2, 8.4 Vertex Form of Quadratic Functions

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