Quiz about Chapter 9 Test Review

Question 1

Which choice shows the functions ordered from narrowest to widest?

f(x)=-5x² , h(x)=(3/8)x² , w(x)=3x² , k(x)=(-2/3)x²

Accepted Answer

f, w, k, h

Answer

f, h, w, k

Answer

h, k, w, f

Answer

k, w, h, f

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

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 4

Does this parabola have a maximum or minimum?

Accepted Answer

Minimum

Answer

Maximum

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

Does this parabola have a minimum or maximum and what is its value?

Accepted Answer

maximum: 5

Answer

minimum: 2

Answer

maximum: 2

Answer

minimum: 5

Question 7

If the a value is negative, which direction does the parabola open?

Accepted Answer

down

Answer

up

Answer

left

Answer

right

Question 8

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 9

Question 9.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 10

Question 10.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 11

What is the vertex form for a vertex of (1, 5) and when a=3?

Accepted Answer

y = 3(x-1)²+5

Answer

y = 1(x-3)²+5

Answer

y = 3(x-5)²+1

Answer

y = 3(x+1)²+5

Question 12

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 13

What steps transform the graph y = x² to y = -1/2(x-4)² + 1?

Accepted Answer

Reflected across x-axis, compressed by 1/2, shifted 4 units right and 1 unit up

Answer

Compressed by 1/2, shifted 4 units right and 1 unit up

Answer

Reflected across x-axis, stretched by 1/2, shifted 4 units left and 1 unit up

Answer

Stretched by 1/2, shifted 4 units right and 1 unit down

Question 14

Which list orders the quadratic functions from narrowest to widest?

Accepted Answer

y = 4x²
y = 2x²- 2
y = x²
y = 0.5 x²

Answer

y = x²
y = 4x²
y = 2x² - 2
y = 0.5 x²

Answer

y = 0.5 x²
y = x²
y = 2x²- 2
y = 4x²

Answer

y = 2x² - 2
y = 4x²
y = 0.5x²
y = x²

Question 15

What is the equation for this parabola in factored form?

Accepted Answer

y=(x+2)(x-1)

Answer

y=(x-2)(x+1)

Answer

y=(x-2)(x-1)

Answer

y=(x+2)(x+1)

Question 16

Which choices are used to express solutions? Choose all that are correct.

Accepted Answer

root

Accepted Answer

x-intercept

Accepted Answer

zero

Answer

factor

Answer

GCF

Question 17

What is this formula?

Accepted Answer

This is the quadratic formula.

Answer

This is the speed of light formula.

Answer

This is the zero product property.

Answer

This is Sparta!

Question 18

What is the name of the imaginary line that cuts a parabola in half and goes through the vertex?

Accepted Answer

axis of symmetry

Answer

the middle

Answer

minimum

Answer

standard form

Question 19

The discriminant is

Accepted Answer

b2 - 4ac

Answer

aX² + bX + c

Answer

b - 4ac

Answer

b2 + 4ac

Question 20

____________
For the function above, is the discriminant positive, negative, or zero?

Accepted Answer

Negative

Answer

Positive

Answer

Zero

Answer

Not Sure

Question 21

____________

The vertex is the only x-intercept of the parabola. Is the discriminant positive, negative, or zero?

Accepted Answer

Zero

Answer

Positive

Answer

Negative

Answer

Not Sure

Question 22

A function has a discriminant of 25.
______________
How many solutions does it have?

Accepted Answer

2

Answer

0

Answer

1

Answer

5

Question 23

Convert
f(x) = 3(x - 5)² - 1
to standard form.

Accepted Answer

f(x) = 3x²-30x + 74

Answer

f(x) = 3x²-10x + 24

Answer

f(x) = 3x²-30x + 24

Answer

f(x) = 3x²-30x + 75

Question 24

Write an equation in vertex form for this parabola.

(Use the vertex and another point.)

Accepted Answer

y = 1(x - 1) - 2

Answer

y = 2(x - 1) + 1

Answer

y = 1(x + 1) - 2

Answer

y = 2(x + 1) - 1

Question 25

A quadratic equation has a vertex form of y = -2(x - 1)² - 2. Which of the following is equivalent to this form?

Accepted Answer

y = -2x² + 4x - 4

Answer

y = 2x² - 4x + 4

Answer

y = -2x² - 4x + 4

Answer

y = 2x² + 4x - 4

Question 26

A parabola has a vertex at (1,6) and passes through (3,-18). Solve for "a" and use it to write the equation in vertex form.

Formula: f(x) = a(x - h)²+ k

Accepted Answer

f(x) = -6(x - 1)²+ 6

Answer

f(x) = 3(x - 1)²- 18

Answer

f(x) = 6(x - 3)²- 18

Answer

f(x) = -3(x + 1)²- 6

Question 27

Your teacher gives you an equation in vertex form and wants you to convert it to standard form. Which one of the following describes the steps in the correct order?

Accepted Answer

1- Square the expression in parentheses.

2- Distribute the "a" value.

3- Combine like terms.

Answer

1- Distribute the "a" value.

2- Square the expression in parentheses.

3- Combine like terms.

Answer

1- Sketch the graph on the coordinate plane.

2- Identify 2 ordered pairs.

3- Use STAT-EDIT and STAT>CALC-Option 4 (LinReg)

Answer

1- Square the expression in parentheses.

2- Combine Like Terms.

3- Distribute the "a" value.

Question 28

Which Model best represents the following set of data?
{ (0,11) , (1,5) , (2,3) , (3,5) , (4,11) }

Accepted Answer

Quadratic

Answer

Linear

Answer

Exponential

Question 29

Is the table linear, exponential or neither?

Accepted Answer

Exponential

Answer

Linear

Answer

Neither

Question 30

Is the graph linear, exponential or quadratic?

Accepted Answer

Linear

Answer

Exponential

Answer

quadratic

Question 31

What type of relationship shown in the table?

Accepted Answer

Linear function

Answer

Exponential function

Answer

Quadratic function

Question 32

Is this table linear, quadratic, exponential, or none of the above?

Accepted Answer

quadratic

Answer

linear

Answer

exponential

Answer

none of the above

Question 33

At what time would you reach 16 ft above the water if you jump of a cliff using the formula:
h = -16t² + 8t + 24?

Accepted Answer

1

Answer

8

Answer

1/2

Answer

1/4

Question 34

The function h(t) = -16t² + 8t + 24 models your height above the water after t seconds after jumping off of a cliff 24 feet high. How long does it take for you to reach the water?

Accepted Answer

1.5 seconds

Answer

8 seconds

Answer

1.25 seconds

Answer

1/4 seconds

Chapter 9 Test Review

40 questions

Which choice shows the functions ordered from narrowest to widest?
f(x)=-5x² , h(x)=(3/8)x² , w(x)=3x² , k(x)=(-2/3)x²

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

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

Does this parabola have a maximum or minimum?

What is the equation for axis of symmetry?

Does this parabola have a minimum or maximum and what is its value?

If the a value is negative, which direction does the parabola open?

What is the equation of this graph?

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Chapter 9 Test Review

40 questions

Which choice shows the functions ordered from narrowest to widest?f(x)=-5x2 , h(x)=(3/8)x2 , w(x)=3x2 , k(x)=(-2/3)x2

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

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

Does this parabola have a maximum or minimum?

What is the equation for axis of symmetry?

Does this parabola have a minimum or maximum and what is its value?

If the a value is negative, which direction does the parabola open?

What is the equation of this graph?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Which choice shows the functions ordered from narrowest to widest?
f(x)=-5x² , h(x)=(3/8)x² , w(x)=3x² , k(x)=(-2/3)x²

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

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