Quiz about Quadratic Functions and Equations Review

Question 1

Is this a max or min?

Accepted Answer

max

Answer

min

Answer

cannot be determined

Answer

both

Question 2

True or false:
The solution, root, x-intercept, and zero of a problem are all the same thing

Accepted Answer

True

Answer

False, because the solution and root are the same but the x-intercept and zero are different

Answer

False, because the x-intercept and root are the same but the zero and solution are different

Answer

False, they are all different

Question 3

Identify the 'b' value:
y = 16x² -8x -24

Accepted Answer

-8

Answer

16

Answer

8

Answer

-24

Question 4

What are the zeros?

Accepted Answer

x= 0 and x= 4

Answer

x= 0 and x= -4

Answer

y= 0

Answer

x= 2

Question 5

Which answer choice describes
y = -3x² +7x - 2 accurately?

Accepted Answer

opens down with a maximum

Answer

opens up with a maximum

Answer

opens up with a minimum

Answer

opens down with a minimum

Question 6

.How many zeros does this parabola have?

Accepted Answer

2

Answer

3

Answer

0

Answer

1

Question 7

Solve the equation using the quadratic formula.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 8

What is the arrow pointing at? How can you use this value?

Accepted Answer

The arrow is pointing at the vertex. The x-value is the axis of symmetry and the y-value is equivalent to the minimum/maximum

Answer

The arrow is pointing at the y-intercept. The x-value is the axis of symmetry and the y-value of this point is equivalent to the maximum/minimum

Answer

The arrow is pointing at the vertex. The x value of this point is equivalent to the maximum/minimum and the y-value is the axis of symmetry

Answer

The arrow is pointing at the solution. The y value of this point is equivalent to the maximum and the x value is equivalent to the minimum

Question 9

Solve the equation using the quadratic formula.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 10

Solve using the quadratic formula

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 11

How many solutions does this graph have?

Accepted Answer

two

Answer

one

Answer

no solutions

Answer

cannot be determined

Question 12

How many solutions does this graph have?

Accepted Answer

one

Answer

two

Answer

no solutions

Answer

cannot be determined

Question 13

How many solutions does this graph have?

Accepted Answer

no solutions

Answer

one

Answer

two

Answer

cannot be determined

Question 14

Find the vertex of
f(x) = -x²- 4x + 12.

Accepted Answer

(-2, 16)

Answer

(2, 0)

Answer

(2, 4)

Answer

(-2, 4)

Question 15

Find the y-intercept of f(x) = 2x²-2x + 1

Accepted Answer

1

Answer

2

Answer

-2

Answer

-1

Question 16

Find the axis of symmetry for
f(x) = x²- 8x + 15.

Accepted Answer

x = 4

Answer

x = -4

Answer

y = 4

Answer

y = -4

Question 17

What is the y intercept for the equation:
y = -8x² + 3x - 7

Accepted Answer

(0, -7)

Answer

(0, -8)

Answer

(0, 3)

Answer

(-8, -7)

Question 18

A line about which a figure is symmetric is the ____ __ ________

Accepted Answer

Axis of Symmetry

Answer

Solution Set

Answer

Intercept Formula

Answer

Quadratic Function

Question 19

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 20

What is the axis of symmetry?

Accepted Answer

the dividing line for a parabola

Answer

the slope of the graph

Answer

a way to spin my pencil

Answer

the x-axis

Question 21

What is the
y-intercept of
f(x)=-2x² + 4x - 6

Accepted Answer

(0, -6)

Answer

(0, 6)

Answer

(6, 0)

Answer

(-6, 0)

Question 22

All Parabolas contain a vertex, when it opens up, this point is called a what?

Accepted Answer

Minimum

Answer

Maximum

Question 23

What is another name for the x-intercepts of a quadratic?

Accepted Answer

Zeros

Answer

y-intercept

Answer

x-axis

Answer

They don't have another name

Question 24

What is the axis of symmetry for the following equation?
y=4x²-8x+9

Accepted Answer

x=1

Answer

x=-8

Answer

x=-1

Answer

x=2

Question 25

How do you know if a parabola has a minimum vertex?

Accepted Answer

When a is positive there is a minimum

Answer

When a is negative there is a minimum

Answer

When all the numbers in the equation are negative there is a minimum

Answer

When all the numbers in the equation are positive there is a minimum

Question 26

Where is Y-intercept?

Accepted Answer

Where the graph crosses at Y axis

Answer

Where the graph crosses at X axis

Question 27

What does "a" control in a graph of f(x) = ax²+ bx+ c?

Accepted Answer

Opens up or down and the width of the parabola

Answer

Opens up or down

Answer

Where the graph crosses at X-intercept

Answer

Where the graph crosses at Y-intercept

Question 28

The vertex of this parabola is...

Accepted Answer

(4, 12.5)

Answer

(-4, -12.5)

Answer

(12.5, 4)

Answer

(-12.5, -4)

Question 29

Solve
16a² - 9 = 0

Accepted Answer

a = ^-3/₄, ³/₄

Answer

a = ^-4/₃, ⁴/₃

Answer

a = ^-9/₁₆, ⁹/₁₆

Answer

a = ^-16/₉, ¹⁶/₉

Question 30

Solve
4m² - 100 = 0

Accepted Answer

m=5, -5

Answer

m=25, -25

Answer

m=96

Answer

m=-96

Question 31

Solve

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 32

Solve

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 33

Solve

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 34

Solve

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 35

Solve

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 36

What is the vertex of the parabola shown?

Accepted Answer

(1, -4)

Answer

(-1, 0)

Answer

(0, -3)

Answer

(3, 0)

Question 37

Which of the following has a graph that is wider than the graph of y=3x²+2?

Accepted Answer

y = 0.5x² + 1

Answer

y = 3x² + 3

Answer

y = -4x² - 1

Answer

y = 4x² + 1

Question 38

Which graph represents the function y=-2x²-5?

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 39

What is the order, from narrowest to widest graph, of the quadratic functions f(x)=-10x², g(x)=2x², and h(x)=0.5x²?

Accepted Answer

f(x), g(x), and h(x)

Answer

h(x), g(x), and f(x)

Answer

g(x), f(x), and h(x)

Answer

f(x), h(x), and g(x)

Question 40

A bell fell off a cliff into the river from a height of 25 feet. The function h=-30t²+25 gives the ball's height h above the water after t seconds. How much time does it take for the ball to hit the water?

Accepted Answer

0.913s

Answer

1.0s

Answer

0.825s

Answer

-0.95s

Question 41

What is the positive solution of
3x²-10x-8=0?

Accepted Answer

4

Answer

-2/3

Answer

0

Answer

2

Question 42

What are the approximate solutions of 2x² - x + 10 = 0?

Accepted Answer

no solution

Answer

-2, 2.5

Answer

-1.97, 2.47

Answer

-2.5, 2

Question 43

What are the approximate solutions of 7x²+4x-9=0?

Accepted Answer

-1.5, 0.88

Answer

-1.42, 0.85

Answer

-0.88, 1.5

Answer

no solution

Question 44

How many solutions are there for 5x²+7x-4=0?

Accepted Answer

2

Answer

0

Answer

1

Answer

3

Question 45

Identify the 'a' value: y = 16x² -8x -24

Accepted Answer

16

Answer

8

Answer

-8

Answer

-24

Question 46

Identify the 'b' value:
y = 16x² -8x -24

Accepted Answer

-8

Answer

16

Answer

8

Answer

-24

Question 47

Identify the 'c' value:
y = 16x² -8x -24

Accepted Answer

-24

Answer

16

Answer

-8

Answer

24

Question 48

y = 2x² -x -3
What is b²?

Accepted Answer

1

Answer

2

Answer

-1

Answer

-3

Question 49

y = 2x² -x -3
What is 4ac?

Accepted Answer

-24

Answer

-12

Answer

8

Answer

-1

Question 50

y = 2x² -x -3
What is b² - 4ac?

Accepted Answer

25

Answer

-23

Answer

-25

Answer

0

Question 51

Solve

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 52

Solve

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 53

Solve

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 54

Solve

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Quadratic Functions and Equations Review

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