Quiz about Quadratic Functions Concepts

Question 1

Define Roots, Zeros, X-intercept, and Solutions

Accepted Answer

Where the parabola touches or interests the x-axis

Answer

Where the parabola touches or interests the y-axis

Question 2

What is the vertex of the graph?

Accepted Answer

(3, -1)

Answer

(2, 4)

Answer

(0, 8)

Answer

(4, 2)

Question 3

Name the x-intercept(s)?

Accepted Answer

(0, 0) and (4, 0)

Answer

(0, 0)

Answer

(2, 4)

Answer

(0, 0) and (0, 4)

Question 4

Does this graph have a maximum or a minimum?

Accepted Answer

minimum

Answer

maximum

Answer

neither

Answer

both

Question 5

Does this graph have a maximum or a minimum?

Accepted Answer

max

Answer

min

Answer

both

Answer

neither

Question 6

What is the vertex of the following equation?

f(x) = x² - 6x + 13

Accepted Answer

(3, 4)

Answer

(6, 3)

Answer

(3, 13)

Answer

(2, 8)

Question 7

Does the following equation have a maximum or a minimum?

f(x) = -3x² +2x + 5?

Accepted Answer

Maximum

Answer

Minimum

Answer

both

Answer

neither

Question 8

What is the vertex of the following equation?

f(x) = 4x² - 8x - 6

Accepted Answer

(1, -10)

Answer

(1, 0)

Answer

(10, 0)

Answer

(-5, 2)

Question 9

The graph of a quadratic function is called a

Accepted Answer

Parabola

Answer

Vertex

Answer

Axis of Symmetry

Answer

Line

Question 10

Which quadratic function is represented by the graph? *write vertex and a-values of answer choices to help you decide*

Accepted Answer

y = -2(x + 4)² + 5

Answer

y = 2(x - 4)² + 5

Answer

y = 2(x + 4)² + 5

Answer

y = -2(x - 4)² + 5

Question 11

What is the vertex?

f(x) = -3(x + 1)²- 5

Accepted Answer

(-1, -5)

Answer

(1, -5)

Answer

(-1, 5)

Answer

(1, 5)

Question 12

What is the axis of symmetry?

f(x) = -3(x + 1)²- 5

Accepted Answer

x = -1

Answer

x = -5

Answer

x = 1

Answer

x = 3

Question 13

What are the roots of the given equation?

Accepted Answer

(-2,0) and (4,0)

Answer

(-8,0)

Answer

(8,0) and (-8,0)

Answer

No real solution

Question 14

Question 14.

Accepted Answer

(-3, 0) and (4,0)

Answer

(3, 0) and (4,0)

Answer

(-3, 0) and (-4,0)

Answer

(-3, 0)

Question 15

If the discriminant equals 0, then the quadratic has:

Accepted Answer

1 Real Solution

Answer

2 Real Solutions

Answer

Half a Solution

Answer

No Real Solution

Question 16

If the discriminant is negative, then the quadratic has:

Accepted Answer

No Real Solutions

Answer

1 Real Solution

Answer

2 Real Solutions

Answer

Half a Solution

Question 17

If the discriminant is positive, then the quadratic has:

Accepted Answer

2 Real Solutions

Answer

1 Real Solution

Answer

Half a Solution

Answer

No Real Solution

Question 18

If the graph of a quadratic does not intercept the x axis at any point, then it has:

Accepted Answer

No Real Solution

Answer

1 Real Solution

Answer

2 Real Solutions

Answer

Half a Solution

Question 19

What is the equation of the axis of symmetry of the quadratic function graphed above?

Accepted Answer

x = 1

Answer

x = -4

Answer

y = -4

Answer

y = 1

Question 20

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 21

Given the zeros below, what is the quadratic equation?

Accepted Answer

y=x² +12x +35

Answer

y=x² -12x +35

Answer

y=x² +12x -35

Answer

y=x² -12x -35

Question 22

Given the zeros below, what are the factors?

Accepted Answer

(x+4) (x-2)

Answer

(x+4) (x+2)

Answer

(x-4) (x-2)

Answer

(x-4) (x+2)

Question 23

Write the equation of the quadratic function that has a vertex of (-2, 6) and passes through the point (-1, 3).

Accepted Answer

y = -3(x + 2)² + 6

Answer

y = 1/3 (x + 2)² + 6

Answer

y = -3(x - 2)² + 6

Answer

y = -(x + 1)² + 3

Question 24

Which quadratic function in vertex form can be represented by the graph that has a vertex at (3,-7) and passes through the point (1,-10)?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 25

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 26

Solve for the zeros of the following equation:

y = (x - 2)²- 64

Accepted Answer

(10,0) and (-6,0)

Answer

No Solution

Answer

(10,0) and (-10,0)

Answer

(8,0) and (-8,0)

Question 27

What is the green dashed line called?

Accepted Answer

axis of symmetry

Answer

roots or x-intercepts

Answer

parabola

Answer

line of dashes

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