Free Printable UNIT 8- A.6A, A.7A

1.

Label the Graph with the Correct Key Features.

1. (a) 2. (b)

3. (c) 4. (d)

Choose from the below words

Y-Intercept

Zero

Vertex

2.

Use the graph to determine the solutions.

a)

-1 and -3

b)

1 and -3

c)

1 and 3

d)

-1 and 3

3.

A quadratic function is graphed on the grid.

Which answer choice best represents the domain and range of the function?

a)

Domain: $x\ge-3$

Range: $y\ge5$

b)

Domain: All real numbers

Range: $y\ge5$

c)

Domain: $x\ge-3$ Range: All real numbers

d)

Domain: $y\ge5$

Range: $x\ge-3$

4.

What is the range of $y=-x^2-2x+3$ ?

a)

$x\le4$

b)

$x\ge-4$

c)

$y\le4$

d)

$y\ge-4$

5.

The graph shown represents a quadratic function. Determine which key features correctly represent the function. Select all that apply.

a)

maximum value: $-1$

b)

minimum value: $-1$

c)

vertex: $\left(1,\ -1\right)$

d)

Axis of symmetry: $x=1$

e)

Axis of symmetry: $x=-1$

6.

What is the range of g?

a)

A. All real numbers

b)

B. All real numbers less than or equal to 1

c)

C. All real numbers less than or equal to -22

d)

D. All real numbers greater than or equal to 0

7.

What is the range of y = -x² + 2x - 9?

a)

x ≤ -9

b)

x ≤ -8

c)

y ≤ -9

d)

y ≤ -8

8.

What are the domain and range of f(x) = 5x² + 4?

a)

Domain: All real numbers Range: f(x) ≥ 4

b)

Domain: x ≥ 0 Range: f(x) ≥ 4

c)

Domain: All real numbers Range: x ≥ 0

d)

Domain: f(x) ≥ 4 Range: x ≥ 0

9.

Which graph represents a function with a domain of all real numbers greater than or equal to -3 and less than 5?

a)

A

b)

B

c)

C

d)

D

10.

Which graph represents a function with a range of all real numbers greater than -2 and less than 3?

a)

A

b)

B

c)

C

d)

D

11.

A student stood at the edge of a swimming pool and threw a ball into the water. The graph shows the height in feet of the ball above the ground as a quadratic function of x, the horizontal distance in feet of the ball from the edge of the pool. What is the range of the function for this situation?

a)

0 ≤ x ≤ 10

b)

-2 ≤ y ≤ 5

c)

0 ≤ y ≤ 10

d)

-5 ≤ x ≤ 5

12.

Which best describes the domain of the relation graphed?

a)

{-4, 0}

b)

-4 ≤ x ≤ 0

c)

y ≥ -3

d)

all real numbers

13.

What is the range of the relation?

a)

-3 ≤ y ≤ 1

b)

y ≤ 3

c)

{-3, 1}

d)

all real numbers

14.

What is the range of the relation?

a)

-3 ≤ y ≤ 1

b)

y ≤ 3

c)

{-3, 1}

d)

all real numbers

15.

What is the domain of the function shown?

a)

A. x ≥ -4

b)

B. -4 < x < 6

c)

C. {-4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6}

d)

D. all real numbers

16.

The graph of quadratic function g is shown on the grid. Which statements are best supported by the graph of g? I. There is a zero at (4, 0) II. The coordinates of the y-intercept are (−2, 0). III. The axis of symmetry is x = 1.

a)

A. I and II only

b)

B. I and III only

c)

C. II and III only

d)

D. I, II, and III

17.

The graph of quadratic function m is shown on the grid. Which statements are best supported by the graph of m? I. The x-intercept is located at (−2, 0). II. The coordinates of the y-intercept are (0, 6). III. The axis of symmetry is y = 2.

a)

I and II only

b)

I and III only

c)

II and III only

d)

I, II, and III

18.

Which graph best represents $y = x^2 - 2x - 3$ ?

a)

A

b)

B

c)

C

d)

D

19.

Which graph best represents $-x^2 + 2x + 8$ ?

a)

A

b)

B

c)

C

d)

D

20.

A graph of a quadratic function is shown. The vertex of the graph is best represented by which coordinates?

a)

(0, 6)

b)

(2, 8)

c)

(−2, 0)

d)

(6, 0)

21.

A graph of a quadratic function is shown. The vertex of the graph is best represented by which coordinates?

a)

(0, −8)

b)

(4, 0)

c)

(−2, 0)

d)

(1, −9)

22.

Which of the following quadratic functions has no zeros?

a)

A

b)

B

c)

C

d)

D

23.

Which of the following quadratic functions has only one zero?

a)

A

b)

B

c)

C

d)

D

24.

The graph of a quadratic function is shown on the grid. Which equation best represents the axis of symmetry?

a)

y = -4

b)

x = 3

c)

y = 0

d)

x = 6

25.

The graph of a quadratic function is shown on the grid. Which equation best represents the axis of symmetry?

a)

y = 4

b)

x = -1

c)

y = -7

d)

x = -4

26.

A graph of $f(x) = -6x^2 - 7x - 1$ is shown on the grid. What are the zeros of $f$ ?

a)

2 and -3

b)

-1

c)

$-\frac{1}{6}$ and -1

d)

$-\frac{1}{3}$ and $-\frac{3}{2}$

27.

A graph of $f(x) = 3x^2 - 7x + 2$ is shown on the grid. What are the zeros of f?

a)

A. 2

b)

B. 2 and 0

c)

C. $\frac{1}{3}$ and 2

d)

D. $\frac{2}{3}$ and $\frac{5}{2}$

28.

Which of the following tables corresponds to the function $y = x^2 + 3x - 5$ ?

a)

b)

c)

d)

29.

Which of the following graphs represents the equation $y = x^2 - 2x + 4$ ?

a)

A

b)

B

c)

C

d)

D

30.

In the diagram, is the vertex a maximum or minimum point? What are the coordinates of the vertex?

a)

minimum; (5, 3)

b)

minimum; (-3, 5)

c)

maximum; (5, -3)

d)

minimum; (5, -3)

31.

Is the vertex of the parabola shown in the graph a maximum or a minimum? What are the coordinates of the vertex?

a)

minimum; (-6, -4)

b)

maximum; (-4, -6)

c)

minimum; (-4, -6)

d)

maximum; (-6, -4)

32.

Identify the y-intercept

a)

(0, -3)

b)

(0, 1)

c)

(0, 3)

d)

(2, 1)

33.

What do we call the highest or lowest point of a quadratic?

a)

parabola

b)

vertex

c)

graph

d)

point

34.

.How many zeros does this parabola have?

a)

3

b)

2

c)

0

d)

1

35.

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

a)

y-intercept

b)

Zeros

c)

x-axis

d)

They don't have another name

36.

What is the domain of the graph?

a)

All real numbers

b)

To infinity and beyond

c)

y ≥ 0

d)

x ≥ 0

37.

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

38.

What is the range of the graph?

a)

All real numbers

b)

0 ≤ x ≤ 4

c)

0 ≤ x ≤ 2000

d)

0 ≤ y ≤ 2000

39.

What is the significance of the ordered pair (2, -4) to the graph?

a)

It is the vertex

b)

It is an x-intercept

c)

It is the y-intercept

d)

It is the axis of symmetry

40.

What is the significance of the ordered pair (0, -2) to the graph?

a)

It is the vertex

b)

It is an x-intercept

c)

It is the y-intercept

d)

It is the axis of symmetry

41.

What are the zeros for the quadratic function?

a)

(-6, 0) and (14, 0)

b)

(-50, 0) and (14, 0)

c)

(-6, 0) and (-50, 0)

d)

(-50, 0) and (-60, 0)

42.

What is the range for the function below?

a)

y ≤ 4

b)

y ≥ 4

c)

All real numbers

d)

-3 ≤ y ≤ 1

43.

What are the zeros for the quadratic function?

a)

(-6, 0) and (14, 0)

b)

(-50, 0) and (14, 0)

c)

(-6, 0) and (-50, 0)

d)

(-50, 0) and (-60, 0)

44.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

45.

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

y=ax²+bx+c

a)

zeros

b)

axis of symmetry

c)

direction

d)

y-intercept

46.

Which graph shows y = x² + 5x + 4 ?

a)

b)

c)

d)

47.

Which graph shows y = x² - 5x + 4 ?

a)

b)

c)

d)

48.

Which graph shows y = x² + 5x + 6 ?

a)

b)

c)

d)

49.

Which graph shows y = x² - 5x + 6 ?

a)

b)

c)

d)

50.

What is the range of the graph?

a)

All real numbers

b)

To infinity and beyond

c)

y ≥ 0

d)

x ≥ 0

51.

What is the domain of the graph?

a)

All real numbers

b)

To infinity and beyond

c)

y ≥ -1

d)

x ≥ 0

52.

Which of the following is equivalent to 3x-4y=6

a)

Y=-6/7x

b)

Y=-3/4x

c)

Y=4/3x+2

d)

Y=3/4x-3/2

53.

Which graph can be used to find the solution to the system of equations below?

2x+y=-4

-3y=2x+12

a)

b)

c)

d)

54.

The graph of the linear function f is shown on the grid. What is the zero of f?

55.

Graph the linear function y = 5/4x + 3.

56.

The graph of a function is shown on the grid. Which ordered pair best represents the location of the y-intercept?

a)

A) (0, –3)

b)

B) (0, 5)

c)

C) (–3, 0)

d)

D) (5, 0)

57.

The graph of linear function k passes through the points (2, 10) and (4, 5). Which statements are best supported by the graph of k?

a)

A) I and II only

b)

B) I and III only

c)

C) II and III only

d)

D) I, II, and III

58.

The graph of linear function k passes through the points (2, 10) and (4, 5). Which statements are best supported by the graph of k?

a)

A) I and II only

b)

B) I and III only

c)

C) II and III only

d)

D) I, II, and III

59.

Which graph represents y = -1/3x + 2?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

60.

Which graph represents -7y = -21x + 28 ?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

61.

The table represents some points on the graph of a linear function. Which of the following statements are best represented by the linear function? (Select all that apply)

a)

x-intercept: $\left(6,0\right)$

b)

x-intercept: $\left(0,6\right)$

c)

y-intercept: $\left(0,\ -2\right)$

d)

slope: $\frac{1}{3}$

62.

The table represents some points on the graph of a linear function. Which of the following statements are best represented by the linear function? (Select all that apply)

a)

zero: $-3$

b)

y-intercept: $\left(-12,0\right)$

c)

y-intercept: $\left(0,\ -12\right)$

d)

slope: $-4$

63.

The table represents some points on the graph of a linear function. Which of the following statements are best represented by the linear function? (Select all that apply)

a)

x-intercept: $\left(0,-12\right)$

b)

x-intercept: $\left(-12,0\right)$

c)

y-intercept: $\left(0,\ 6\right)$

d)

slope: $\frac{1}{2}$

64.

The graph of a linear function $g$ passes through the points $(−6,\ 14)$ and $(6,\ −7)$ . Which of the following statements are best represented by the linear function? (Select all that apply)

a)

x-intercept: $\left(2,0\right)$

b)

x-intercept: $\left(0,2\right)$

c)

y-intercept: $\left(0,\ 3.5\right)$

d)

slope: $-\frac{7}{4}$

65.

Damian borrowed money from a bank to buy a car. The table shows the loan balance, $b\left(x\right)$ , after $x$ monthly payments.

a)

zero: $48$

b)

y-intercept: $1600$

c)

y-intercept: $48$

d)

slope: $-350$

UNIT 8- A.6A, A.7A

Total questions: 65

Worksheet time: 5hrs 25mins

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