Quiz about Quadratic Functions

Question 1

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 2

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 3

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

The are no real roots

Answer

x = 2 or x = 3

Question 4

Which equation best represents the graph?

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 5

If the blue graph is
f(x) = x²
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 6

What transformations have occurred?

Accepted Answer

Right 2 and up 2

Answer

Left 2 and up 2

Answer

Right 2 and down 2

Answer

Left 2 and down 2

Question 7

What is the vertex of y= x²- 8x + 14 ?

Accepted Answer

(4, -2)

Answer

(2, 4)

Answer

(-4, -2)

Answer

(-2, 4)

Question 8

Question 8.

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 9

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 10

What is the axis of symmetry?
y = 3x²- 6x + 4

Accepted Answer

x=1

Answer

x=-6

Answer

x=2

Answer

x=-1

Question 11

What is the parent function of a quadratic equation?

Accepted Answer

f(x)=x2

Answer

f(x)=x

Answer

f(x)=ax²+bx+c

Answer

f(x)=a(x-h)²+k

Question 12

What is the standard form of a quadratic equation?

Accepted Answer

f(x)=ax²+bx+c

Answer

f(x)=x

Answer

f(x)=x2

Answer

f(x)=a(x-h)²+k

Question 13

What is the vertex form of a quadratic equation?

Accepted Answer

f(x)=a(x-h)²+k

Answer

f(x)=x

Answer

f(x)=x2

Answer

f(x)=ax²+bx+c

Question 14

Find the vertex of the quadratic:
y = -2x² + 4x + 3

Accepted Answer

(1, 5)

Answer

(0, 3)

Answer

(-1, 5)

Answer

(1, -5)

Question 15

Which equation is the intercept form of a quadratic function?

Accepted Answer

f(x) = a(x - p)(x -q)

Answer

f(x) = mx + b

Answer

f(x) = ax² + bx + c

Answer

f(x) = a(x - h)² + k

Question 16

What are the x-intercepts for g(x) = (x + 8)(x + 2)

Accepted Answer

-8 and - 2

Answer

8 and 2

Answer

(8, 2)

Answer

(-8, -2)

Question 17

A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function

h = -16t² + 64t + 960.

What is the maximum height?

Accepted Answer

1024 feet

Answer

960 feet

Answer

1008 feet

Answer

1152 feet

Question 18

Determine if the function graphed has a maximum or a minimum value and identify that value.

Accepted Answer

maximum at 4

Answer

maximum at -1

Answer

minimum at -1

Answer

minimum at 4

Question 19

Which of the following functions has a minimum value of -4?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 20

What is the formula above primarily used for?

Accepted Answer

Finding the axis of symmetry from standard form

Answer

Finding the vertex from standard form

Answer

Finding the vertex from vertex form

Answer

Finding the vertex from standard form

Question 21

Which function has a maximum at (2, 0)?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 22

What piece of information does c identify in the following equation?

f(x)=ax²+bx+c

Accepted Answer

y-intercept

Answer

Zeroes

Answer

Axis of Symmetry

Answer

Vertex

Question 23

Find the y-intercept of f(x) = x² - 6x + 5

Accepted Answer

(0, 5)

Answer

(0, 8)

Answer

(0, - 6)

Answer

(5, 0)

Question 24

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.

Quadratic Functions

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