Free Printable Unit 3 Test Review

1.

Identify the 'b' value in the equation:

y=16x^2-8x-24

a)

16

b)

$-8$

c)

8

d)

$-24$

2.

What are the x-intercepts of the given graph?

a)

$x=0\ and\ x=-4$

b)

$x=0\ and\ x=4$

c)

$y=0$

d)

$x=2$

3.

Which answer choice describes the equation below accurately?

y=-3x^2+7x-2

a)

opens up with a maximum

b)

opens up with a minimum

c)

opens down with a maximum

d)

opens down with a minimum

4.

What is the form of the equation below?

y=2x^2-6x+1

a)

Vertex Form

b)

Intercept Form

c)

Standard Form

d)

Cannot be determined

5.

How many zeros does this parabola have?

a)

3

b)

2

c)

0

d)

1

6.

Determine the domain of:

f(x)=x²-4

a)

$-\infty\le x\le+\infty$

b)

$x\ge-4$

c)

$-\infty\le y\le+\infty$

d)

$y\ge-4$

7.

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

a)

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

b)

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

c)

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

d)

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.

8.

Determine the coordinates of the vertex given:
$y=2(x+3)^2-8$

a)

$(3,8)$

b)

$(3,-8)$

c)

$(-3,8)$

d)

(-3,-8)

9.

Does this parabola have a maximum or minimum?

a)

Maximum

b)

Minimum

10.

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

a)

y-intercept

b)

Zeros

c)

x-axis

d)

They don't have another name

11.

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

a)

Minimum: 2

b)

Maximum: 2

c)

Minimum: 5

d)

Maximum: 5

12.

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

a)

Up

b)

Down

c)

Left

d)

Right

13.

What is the equation for the axis of symmetry?

a)

y=3

b)

$x=3$

14.

What is the green dot on the parabola called?

a)

Vertex

b)

Roots

15.

The equation for the axis of symmetry is...?

a)

x=0

b)

$x=-2$

16.

Which of the following equations matches the standard form of a quadratic?

a)

y = mx + b

b)

y = ax² + bx + c

17.

Find the y-intercept of:

f(x)=2x^2-2x+1

a)

$2$

b)

$-2$

c)

$1$

d)

$-1$

18.

Determine the vertex of the quadratic function:

$y=x^2-6x+11$

a)

$(3,2)$

b)

$(-3,-2)$

c)

$(-3,2)$

d)

$(3,-2)$

19.

Which of the following is the correct equation for the given graph?

a)

$f(x)=(x-2)^2-1$

b)

$f(x)=(x+2)^2-1$

c)

$f(x)=-(x+2)^2-1$

d)

$f(x)=-(x-2)^2-1$

20.

When a quadratic function is written in standard form, what is the formula used to find the x-value of the vertex?

a)

$x=\frac{-b}{2}$

b)

$x=-b$

c)

$x=\frac{-b}{2a}$

d)

$x=\frac{2a}{-b}$

21.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

d)

none of these

22.

Using the equation given, identify the vertex and whether the graph opens up or down.

$f\left(x\right)=-\frac{1}{4}\left(x-1\right)^2+4$

a)

$(-1,4)$ and opens up

b)

$(-1,4)$ and opens down

c)

$\left(1,4\right)$ and opens up

d)

$\left(1,4\right)$ and opens down

23.

Determine the range of:

$f\left(x\right)=x^2-3$

a)

$y\le0$

b)

$y\le-3$

c)

All real numbers

d)

$y\ge-3$

24.

Which point is an example of a y-intercept?

a)

$(3,4)$

b)

$(-2,8)$

c)

$(0,4)$

d)

$(5,0)$

25.

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:

$h=-16t^2+64t+960$

How many seconds did it take for the ball to reach its maximum height?

a)

10 seconds

b)

64 seconds

c)

960 seconds

d)

2 seconds

26.

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:

$h=-16t^2+64t+960$

What is the maximum height?

a)

960 feet

b)

1008 feet

c)

1024 feet

d)

1152 feet

27.

The graph below describes a ball that was kicked. Which of the following is a true statement describing the graph?

a)

The ball was kicked from 500 centimeters from the ground and it traveled for 4 seconds.

b)

The ball was kicked from the ground and it was in the air for 4 seconds.

c)

The ball had a maximum height of 2000 centimeters and it was in the air for a total of 2 seconds.

d)

The ball had a maximum height of 1000 centimeters and it was in the air for 4 seconds.

28.

Determine the intercept form of the equation for the parabola given.

a)

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

b)

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

c)

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

d)

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

29.

Identify the 'a' value of:

$y=16x^2-8x-24$

a)

16

b)

8

c)

-8

d)

-24

30.

Determine the equation of the axis of symmetry given:

$y=2x^2-4x+9$

a)

$x=1$

b)

$x=-1$

c)

$x=-2$

d)

$x=4$

31.

Which function best models the data in the given table?

a)

$y=-3x+9$

b)

$y=4x^2-3x+1$

c)

$y=5.2(.75)^x$

d)

$y=-3x^2+4x+1$

32.

At a high school track and field meet an athlete was given 3 throws at shot put. At which throw did the shot put travel the furthest distance?

a)

Throw #1

b)

Throw #2

c)

Throw #3

d)

There is not enough information

33.

The graph shows the projectile of a rocket. What does the zero (a.k.a. x-intercept) of the graph represent?

a)

The amount of time it took the rocket to land on the ground.

b)

The maximum height of the rocket.

c)

The amount of time it took the rocket to reach its maximum height.

d)

The height of the rocket before it was launched.

34.

Find the best fitting quadratic model for the data given.

a)

1.2x² + 13x + 504.3

b)

12x² + 13x + 504.3

c)

.12x² + 1.3x + 504.3

35.

The table shows the average braking distances of a car at various speeds. The braking distance is the distance the car travels before coming to a stop after its brakes are applied. Use a quadratic model to predict the braking distance at 70mph.

a)

245 ft

b)

225 ft

c)

285 ft

d)

265 ft

36.

If the blue is $f(x)=x^2$ , then the red must be:

a)

$g(x)=x^2-5$

b)

$g(x)=x^2+5$

c)

$g(x)=(x-5)^2$

d)

$g(x)=(x+5)^2$

37.

What is the equation of this graph?

a)

f(x) = (x -5)² + 1

b)

f(x) = (x - 1)² - 5

c)

f(x) = (x + 1)² - 5

d)

f(x) = (x + 5)² +1

38.

Determine the curve of best fit.

a)

y = -2.7x + 7.4

b)

y = 0.95x²- 2.08x - 0.75

c)

y = -.05x - 3.26

d)

y = 0.95x²+ 2.08x + 0.75

39.

When looking at the graph of a quadratic, how do I find…

When an object hits the ground?

a)

Find the x-value using the axis of symmetry

b)

Find the axis of symmetry and substitute it into the equation

c)

Find the y-intercept

d)

Find the x-intercepts and choose the positive value

40.

When looking at the graph of a quadratic, how do I find…

The time it takes to get to the highest point?

a)

Find the x-value using the axis of symmetry

b)

Find the axis of symmetry and substitute it into the equation

c)

Find the y-intercept

d)

Find the x-intercepts and choose the positive value

41.

When looking at the graph of a quadratic, how do I find…

The starting point of an object that is dropped?

a)

Find the x-value using the axis of symmetry

b)

Find the axis of symmetry and substitute it into the equation

c)

Find the y-intercept

d)

Find the x-intercepts and choose the positive value

42.

Which is the best estimate for when the football hits the ground?

a)

0.5 seconds

b)

4.0 seconds

c)

1.5 seconds

d)

2.7 seconds

43.

Which best describes the HEIGHT of the football at 2 seconds?

a)

10 feet

b)

22 feet

c)

6 feet

d)

31 feet

44.

Whats the vertex and what does it mean?

a)

At 1.4 seconds the football is at a maximum height of 31 ft

b)

At 31 seconds the football is at a maximum height of 1.4 ft

c)

The ball is at its maximum height at 2.7 seconds

d)

The hits the ground at 1.4 seconds.

45.

What does the Y-INTERCEPT mean?

a)

The ball is thrown from an initial height of 1.4 feet.

b)

The ball reaches a maximum height of 6 feet.

c)

The ball hits the ground at 6 seconds.

d)

The ball is thrown form an initial height of 6 feet.

46.

Quadratic equations take the shape of a _______ when graphed.

a)

parabola

b)

straight line

c)

snaked line

d)

elliptical

47.

What is the domain and the range for the graph?

a)

Domain : -2 ≤ x ≤ 2
Range : 0 ≤ y ≤ 4

b)

Domain : 0 ≤ x ≤ 4
Range : -2 ≤ y ≤ 2

c)

Domain : All real #s
Range : y ≤ 4

d)

Domain : -2 ≤ x ≤ 2
Range : y ≤ 4

48.

Determine the domain and range of the function

a)

Domain: All real numbers

Range: All real numbers

b)

Domain: x ≥ -4

Range: All real numbers

c)

Domain: All real numbers

Range: y ≥ -4

d)

Domain: -1 ≤ x ≤ 5

Range: y ≥ -4

49.

This function is _________.

a)

Increasing

b)

Decreasing

50.

When the vertex is the highest point it is called ____

a)

tipping point

b)

maximus prime

c)

minimum

d)

maximum

51.

A vertex that represents the LOWEST point on a graph is called _____

a)

maximum

b)

minimum

c)

vertex

d)

home run

52.

Identify which of the following is the graph of:

$y=x^2-4x$

a)

b)

c)

d)

53.

Identify which of the following is the graph of:

$y=-3x^2+12x-16$

a)

b)

c)

d)

54.

What could be a possible equation for the parabola shown?

a)

$y=\left(x+3\right)^2-6$

b)

$y=\left(x-3\right)^2-6$

c)

$y=\left(x-3\right)^2+6$

d)

$y=\left(x+3\right)^2+6$

55.

The parabola $y=x^2$ is translated 2 units to the left and 5 units up.

What is the equation of the new parabola?

a)

$y=\left(x-2\right)^2+5$

b)

$y=\left(x+5\right)^2-2$

c)

$y=\left(x+5\right)^2+2$

d)

$y=\left(x+2\right)^2+5$

56.

The parabola $y=-x^2\$ is translated 6 units to the left.

What is its new equation?

a)

$y=-6x^2$

b)

$y=-x^2+6$

c)

$y=-\left(x+6\right)^2$

d)

$y=-\left(x-6\right)^2$

57.

The parabola $y=-x^2$ is translated 4 units up.

What is its new equation?

a)

$y=x^2-4$

b)

$y=-x^2+4$

c)

$y=-\left(x-4\right)^2$

d)

$y=-\left(x+4\right)^2$

58.

Determine the transformation that has happened to the parent graph $y=x^2$ to produce the graph of $y=\left(x-8\right)^2-2$ .

a)

Translated 2 to the left and 8 down

b)

Translated 8 to the right and 2 down

c)

Translated 8 to the left and 2 down

d)

Translated 2 to the right and 8 up

e)

Translated 8 to the right and 2 up.

59.

Determine the x-intercepts of the parabola:

$y=\left(x+4\right)\left(x-2\right)$

a)

$\left(4,0\right)\ \text{and}\ \left(-2,0\right)$

b)

$\left(2,0\right)\ \text{and }\left(4,0\right)$

c)

$\left(-4,0\right)\text{and}\ \left(-2,0\right)$

d)

$\left(-4,0\right)\ \text{and (2,0)}$

60.

Which of the following equations could represent the parabola shown?

a)

$y=-\left(x-3\right)^2-1$

b)

$y=\left(x-3\right)^2-1$

c)

$y=-\left(x+3\right)^2-1$

d)

$y=-\left(x-3\right)^2+1$

61.

Find the value of $y$ when $x=-4$ for:

y=\left(x+1\right)^2-10\

a)

$15$

b)

$-19$

c)

$-1$

d)

$-16$

e)

$-20$

62.

What is the increasing interval for the function shown?

a)

$\left(-\infty,\ 1\right)$

b)

$\left(-\infty,\ 2\right)$

c)

$\left(2,\ \infty\right)$

d)

$\left(1,\ \infty\right)$

63.

A parenthesis is used on a number line if the number is included as an end point.

a)

True

b)

False

64.

Where is the function increasing?

a)

[4, ∞)

b)

[−4, ∞)

c)

[6, ∞)

d)

4 < x < 6

65.

Describe the end behavior of the graph.

a)

as $x\ \rightarrow-\infty,\ y\ \rightarrow\ -\infty$ and
as $x\ \rightarrow\ \infty,\ y\ \rightarrow\ \infty$

b)

as

x\ \rightarrow-\infty,\ y\ \rightarrow\ \infty

and
as

x\ \rightarrow\ \infty,\ y\ \rightarrow\ \infty

c)

None of these

d)

as

x\ \rightarrow\ -\infty,\ y\ \rightarrow\ -\infty

and
as

x\ \rightarrow\ \infty,\ y\ \rightarrow\ -\infty

66.

Determine the interval in which this function is INCREASING.

a)

(-4, ∞)

b)

(-3, ∞)

c)

(∞, -3)

d)

(-∞, -4)

67.

Determine the interval of this function's DOMAIN.

a)

(-5, -1)

b)

(-∞, ∞)

c)

No solution

d)

(-∞, -3)

68.

Determine the interval of this function's RANGE.

a)

[-4, ∞)

b)

(-3, ∞)

c)

No solution

d)

(-∞, -4]

Unit 3 Test Review

Total questions: 68

Worksheet time: 17hrs 0mins

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