Quiz about Quadratic Functions

Question 1

Does the graph in the background have a maximum or minimum value?

Accepted Answer

minimum

Answer

maximum

Answer

neither

Answer

both

Question 2

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 3

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

Accepted Answer

(0, -7)

Answer

(0, -8)

Answer

(0, 3)

Answer

(0, 7)

Question 4

What are the x-intercepts of the function f(x) = (x - 2)(x + 3)?

Accepted Answer

x = 2 or x = -3

Answer

x = -2 or x = 3

Answer

There are no real roots

Answer

x = 2 or x = 3

Question 5

Complete the square for
x² + 12x + ____

Accepted Answer

x² + 12x + 36

Answer

x² + 12x + 144

Answer

x² + 12x - 36

Answer

x² + +12x - 144

Question 6

Solve:
2x² - 9x = 35

Accepted Answer

x = -5/2, x = 7

Answer

x = 7/2, x = -6

Answer

x = -5/2, x = 5

Answer

x = -3/7, x = 6

Question 7

Find the missing value "c" to create a perfect square trinomial:
x² - 8x + ___

Accepted Answer

16

Answer

-4

Answer

4

Answer

8

Question 8

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 9

What is the constant that should be added to the expression to complete the square: x²+16x?

Accepted Answer

64

Answer

16

Answer

8

Answer

32

Question 10

What is the vertex of y=x²+4x+3?

Accepted Answer

(-2,-1)

Answer

(2,1)

Answer

(-2,1)

Answer

(0,0)

Question 11

What are the x-intercepts?

Accepted Answer

x = 0 and x = 4

Answer

x = 0 and x = -4

Answer

y = 0

Answer

x = 2

Question 12

Does the following quadratic equation have a maximum or minimum value? How can you tell?
y=x²+2x-3

Accepted Answer

Minimum value, because the a value is positive

Answer

Maximum value, because the b value is positive

Answer

Maximum value, because the a value is positive

Answer

Minimum value, because the c value is negative

Question 13

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

Accepted Answer

1

Answer

2

Answer

-2

Answer

-1

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

Accepted Answer

x = 4

Answer

x = -4

Answer

y = 4

Answer

y = -4

Question 16

How many solutions does this graph have?

Accepted Answer

two

Answer

one

Answer

no solutions

Answer

cannot be determined

Question 17

Is this a max or min?

Accepted Answer

max

Answer

min

Answer

cannot be determined

Question 18

How many solutions does this graph have?

Accepted Answer

no solutions

Answer

one

Answer

two

Answer

cannot be determined

Question 19

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 20

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

Accepted Answer

(0, 3)

Answer

(0, -8)

Answer

(-8, -7)

Answer

(0, -7)

Question 21

The lowest point one hits when using a swing would represent what?

Accepted Answer

Minimum value

Answer

Maximum value

Answer

A root

Answer

An x-intercept

Question 22

Which is the vertex of y = x² + 16x + 71?

Accepted Answer

V(-8, 7)

Answer

V(-8, 3)

Answer

V(8, 10)

Answer

V(16, -2)

Question 23

Does the equation open up or down?
Y = -3x² +7x - 2

Accepted Answer

down

Answer

up

Answer

Neither; it opens to the right.

Answer

Neither; it opens to the left.

Question 24

What is the name of this form:
y = ax² + bx + c

Accepted Answer

standard form

Answer

vertex form

Answer

factored form

Answer

zero form

Question 25

The graph of a quadratic function is called

Accepted Answer

a parabola

Answer

a line

Answer

a hyperbola

Answer

a cubic

Question 26

The formula
b² - 4ac
is called the

Accepted Answer

the discriminant

Answer

quadratic formula

Answer

factored form

Answer

vertex formula

Question 27

The discriminant finds the

Accepted Answer

number of solutions

Answer

x-intercepts

Answer

y-value of vertex

Answer

y-intercept

Question 28

If the discriminant is greater than zero, the equation has

Accepted Answer

2 solutions

Answer

1 solution

Answer

no solutions

Question 29

If the discriminant is less than zero, the equation has

Accepted Answer

no solutions

Answer

1 solution

Answer

2 solutions

Question 30

The equation y = x² - 12x + 36 has

Accepted Answer

1 solution

Answer

2 solutions

Answer

no solutions

Question 31

The solutions of the quadratic equation x²-5x+6=0 are

Accepted Answer

x=3 or x=2

Answer

x=1 or x=-6

Answer

x=-3 or x=2

Answer

x=-1 or x=6

Question 32

The solution of the quadratic equation 4x² - 5x - 9 = 0 are

Accepted Answer

x = -1 or x = 9/4

Answer

x = 1 or x = 9/4

Answer

x = 2 or x = 3

Answer

x = -2 or x = -3

Question 33

Fill the blank space to complete the perfect square trinomial
x² - 18x + ____ = (x - ____)²

Accepted Answer

81 and 9 respectively

Answer

9 and 3 respectively

Answer

-9 and -3 respectively

Answer

-81 and -9 respectively

Question 34

Solve using the Quadratic Formula:
(Hint: Set the equation equal to 0)

$$x^2+4x-40=-8$$

Accepted Answer

$$x=-8,\ 4$$

Answer

$$x=-10,\ -4$$

Answer

$$x=-4,\ 10$$

Answer

$$x=-4,\ 8$$

Question 35

Solve by factoring: x² + 3x - 18 = 0

Accepted Answer

x = 3 and x = -6

Answer

x = -3 and x = 6

Answer

x = -9 and x = 2

Answer

x = 9 and x = -2

Question 36

You are given the factored equation $$\left(x+8\right)\left(x-2\right)=0$$ . What is the next step to solve for x?

Accepted Answer

Set $$x+8=0$$ and $$x-2=0$$

Answer

Nothing, the solution is $$x=8$$ and $$x=-2$$

Answer

Multiply $$\left(x+8\right)\left(x-2\right)$$

Answer

Choose $$x+8$$ or $$x-2$$ and write a musical about them

Question 37

Solve $$\left(x+2\right)\left(x-11\right)=0$$ for x.

Accepted Answer

$$x=-2$$ or $$x=11$$

Answer

$$x=-2$$ or $$x=-11$$

Answer

$$x=2$$ or $$x=-11$$

Answer

$$x=2$$ or $$x=11$$

Question 38

Solve $$\left(3x-7\right)\left(2x-8\right)=0$$ for x

Accepted Answer

$$x=\frac{7}{3}$$ or $$x=4$$

Answer

$$x=-\frac{7}{3}$$ or $$x=4$$

Answer

$$null$$ or $$x=-4$$

Answer

$$x=\frac{7}{3}$$ or undefined

Question 39

Solve by factoring: $$x^2-9x+20=0$$ What does the factoring step look like?

Accepted Answer

$$(x-4)(x-5)=0$$

Answer

$$(x-4)(x+5)=0$$

Answer

$$(x+20)(x-9)=0$$

Answer

$$(x+4)(x+5)=0$$

Question 40

What should you do first in solving this equation?
x² + 6x - 13 = 3

Accepted Answer

Make it equal 0 by subtracting 3 from both sides

Answer

Get the equation in factored form

Answer

Find two numbers that add up to 6 and multiply to make -13

Answer

Type it all into a calculator

Question 41

Solve using Zero-Product Property: $$(2x-2)(5x+5)=0$$

Accepted Answer

x = -1 or x = 1

Answer

x = -1

Answer

x = 1

Answer

x = -2 or x = 5

Question 42

Solve

Accepted Answer

-4, 2

Answer

-2, 4

Answer

-16

Answer

-4

Question 43

x²-14x-51=0

Accepted Answer

x= 17, -3

Answer

x= -17, 3

Answer

x= -17, -3

Question 44

4x²+7x-17=3x²+12x-3

Accepted Answer

x= 7, -2

Answer

x= -7, -2

Answer

x= -7, 2

Quadratic Functions

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