Free Printable Test 7: Quadratics (part 3) REVIEW

1.

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

a)

2

b)

-2

c)

1

d)

-1

2.

What is the vertex of the following equation?
y=5(x-3)²+5

a)

(3,5)

b)

(-3,5)

c)

(3, -5)

d)

(-3,-5)

3.

In which form is this equation? y = (x - 3)² + 4

a)

Standard

b)

Intercept

c)

Vertex

d)

Parabolic

4.

Which form is this in? y = 3x² - 7x + 2

a)

Intercept

b)

Standard

c)

vertex

d)

Cubic

5.

What is the axis of symmetry? y = (x + 9)² + 1

a)

x = 9

b)

x = -9

c)

x = 1

d)

x = -1

6.

What's the y-intercept? y = 2x² + 6x + 7

a)

(0, -7)

b)

(7, 0)

c)

(0, 7)

d)

(-7, 0)

7.

What's another name for the x-intercepts?

a)

Roots

b)

Vertices

c)

axis of symmetry

d)

Minimums

8.

Which is parabola opens downward?

a)

y = x² - 5x - 4

b)

y = (x - 3)² - 8

c)

y = -3x + 2

d)

y = -x² + 2x - 7

9.

What is the "b" term of this equation? y = 2x² - 5x + 10

a)

10

b)

-5

c)

2

d)

0

10.

In which form is this equation? y = (x - 3)(x + 8)

a)

Standard

b)

Intercept

c)

Vertex

d)

Parabolic

11.

How do you convert y = 2x² - 5x + 10 to vertex form?

a)

Factor

b)

(p+q)/2

c)

Complete the square

d)

Quadratic Formula

12.

How do you convert y = 2x² - 5x + 10 to Intercept form?

a)

Factor

b)

Complete the Square

c)

(p+q)/2

d)

-b/2a

13.

What are the zeros? y = (x - 3)(x + 8)

a)

-3 and 8

b)

3 and -8

c)

-3 and -8

d)

3 and 8

14.

Which of the following is Standard Form?

a)

$y=ax^2+bx+c$

b)

$y=a\left(x-p\right)\left(x-q\right)$

c)

$y=a\left(x-h\right)^2+k$

15.

Which of the following is Vertex Form?

a)

$y=ax^2+bx+c$

b)

$y=a\left(x-p\right)\left(x-q\right)$

c)

$y=a\left(x-h\right)^2+k$

16.

What is an equation of a parabola with the vertex of $\left(3,-4\right)$ ?

a)

$y=-\frac{1}{2}\left(x+3\right)^2-4$

b)

$y=2\left(x-3\right)^2+4$

c)

$y=\frac{3}{2}\left(x-3\right)^2-4$

d)

$y=\left(x+3\right)^2+4$

17.

Which of the following is Intercept (Factored) Form?

a)

$y=ax^2+bx+c$

b)

$y=a\left(x-p\right)\left(x-q\right)$

c)

$y=a\left(x-h\right)^2+k$

18.

What is an equation of a quadratic with x-intercepts at $\left(-1,0\right)$ and $\left(-10,0\right)$

a)

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

b)

$y=\frac{1}{3}\left(x+1\right)\left(x+10\right)$

c)

$y=-\frac{1}{10}\left(x-1\right)\left(x+10\right)$

d)

$y=3\left(x-1\right)\left(x-10\right)$

19.

Convert the following function into intercept form:
$f\left(x\right)=x^2+4x-12$

a)

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

b)

$f\left(x\right)=\left(x+2\right)^2-16$

c)

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

d)

$f\left(x\right)=\left(x-2\right)^2-16$

20.

Convert the following function into vertex form: $f\left(x\right)=2\left(x-3\right)\left(x+1\right)$

a)

$f\left(x\right)=2x^2-4x-6$

b)

$f\left(x\right)=2\left(x-1\right)^2-8$

c)

$f\left(x\right)=\left(x-1\right)^2-8$

d)

$f\left(x\right)=2\left(x+1\right)^2-8$

21.

Convert the following function into standard form: $f\left(x\right)=-\left(x+2\right)^2–5$

a)

$f\left(x\right)=-x^2-4x-1$

b)

$f\left(x\right)=-\left(x-2\right)\left(x-9\right)$

c)

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

d)

$f\left(x\right)=-x^2-4x-9$

22.

Convert the following graph into intercept form:

a)

$f\left(x\right)=2x^2+4x-6$

b)

$f\left(x\right)=\left(x-1\right)\left(x+3\right)$

c)

$f\left(x\right)=\left(x-8\right)\left(x-1\right)$

d)

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

23.

Convert the following function into standard form: $f\left(x\right)=\ 3\left(x-2\right)^2+1$

a)

$f\left(x\right)=\ 3x^2-12x+13$

b)

$f\left(x\right)=3\left(x+2\right)\left(x+1\right)$

c)

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

d)

$f\left(x\right)=3x^2-12x-11$

24.

Convert the following function into intercept form: $f\left(x\right)=\ -2\left(x-1\right)^2+8$

a)

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

b)

$f\left(x\right)=-2x^2+4x+6$

c)

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

d)

$f\left(x\right)=-2\left(x+1\right)\left(x+6\right)$

25.

Convert the following function into standard form: $f\left(x\right)=3\left(x-5\right)\left(x-1\right)$

a)

$f\left(x\right)=-3\left(x+3\right)^2+12$

b)

$f\left(x\right)=3\left(x-3\right)^2-12$

c)

$f\left(x\right)=3x^2-18x+15$

d)

$f\left(x\right)=x^2-6x+5$

26.

Convert the following graph into standard form:

a)

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

b)

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

c)

$f\left(x\right)=\left(x+3\right)\left(x-1\right)$

d)

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

27.

What is the vertex form of a quadratic function?

a)

f(x) = 2a(x-h)² + k

b)

f(x) = a(x-h)² + k

c)

f(x) = (x+h)² + k

d)

f(x) = a(x-h) - k

28.

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

a)

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

b)

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

c)

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

d)

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

29.

What steps transform the graph y = x² to y = 2(x+2)² - 5?

a)

Compress by 2, shifted 2 units left and 5 down

b)

Stretch by 5, shifted 5 units left and 2 down

c)

Stretch by 2, shifted 2 units left and 5 down

d)

Compress by 5, shifted 2 units left and 2 down

30.

What steps transform the graph y = x² to y = x² + 8

a)

shifted up 8 units

b)

shifted down 8 units

c)

shifted left 8 units

d)

shifted right 8 units

31.

What steps transform the graph y = x² to y = (x - 4)²

a)

Shifted down 4 units

b)

Shifted left 4 units

c)

Shifted right 4 units

d)

Shifted up 4 units

32.

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

a)

a reflection across the line x = -4

b)

a reflection across the line y = -4

c)

a translation shifting f(x) 4 units to the left

d)

a translation shifting f(x) 4 units to the right

33.

Match the equation to its description.

a)

Vertically stretched by 2 and shifted up 4

b)

Vertically compressed by 2 and shifted up 4

c)

Vertically stretched by 2 and shifted left 4

d)

Vertically compressed by 2 and shifted left 4

34.

Match the equation to its description.

a)

Reflected over x-axis and shifted up 4

b)

Reflected over x-axis and shifted down 4

c)

Reflected over x-axis and shifted right 4

d)

Reflected over x-axis and shifted left 4

35.

Match the equation to its description.

a)

Vertically stretched by 4 and shifted up 4

b)

Vertically compressed by 4 and shifted up 4

c)

Vertically stretched by 4 and shifted right 4

d)

Vertically compressed by 4 and shifted right 4

36.

Which list orders the quadratic functions from narrowest to widest?

a)

y = x²
y = 4x²
y = 2x² - 2
y = 0.5 x²

b)

y = 0.5 x²
y = x²
y = 2x²- 2
y = 4x²

c)

y = 4x²
y = 2x²- 2
y = x²
y = 0.5 x²

d)

y = 2x² - 2
y = 4x²
y = 0.5x²
y = x²

37.

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

a)

g(x)=x²- 5

b)

g(x)=x²+ 5

c)

g(x)=(x - 5)²

d)

g(x)=(x + 5)²

38.

How did we transform from the parent function?
y = x² + 2

a)

horizontal shift up

b)

vertical shift up

c)

horizontal shift down

d)

vertical shift down

39.

How did we transform from y=x^2?

y = -3x²

a)

vertical reflection and vertical shift down

b)

vertical reflection and vertical stretch

c)

horizontal stretch

d)

vertical reflection and vertical compression

40.

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

a)

parabola

b)

vertex

c)

graph

d)

point

41.

Identify the y-intercept

a)

(0, -3)

b)

(0, 1)

c)

(0, 3)

d)

(2, 1)

42.

.How many zeros does this parabola have?

a)

3

b)

2

c)

0

d)

1

43.

What is the domain of the graph?

a)

All real numbers

b)

To infinity and beyond

c)

y ≥ 0

d)

x ≥ 0

44.

What is the range of the graph?

a)

All real numbers

b)

To infinity and beyond

c)

y ≥ 0

d)

x ≥ 0

45.

What is the domain of the graph?

a)

All real numbers

b)

To infinity and beyond

c)

y ≥ -1

d)

x ≥ 0

46.

What is the range of the graph?

a)

All real numbers

b)

To infinity and beyond

c)

y ≥ -1

d)

x ≥ 0

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.

What is the domain of the parabola created by the ball?

a)

Domain : 0 ≤ d ≤ 280

b)

Domain : 0 ≤ h ≤ 150

c)

Domain : 0 ≤ d ≤ 570

d)

Domain : 0 ≤ h ≤ 280

49.

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

50.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

51.

What are the coordinates of the vertex, and is it a maximum or minimum?

a)

(-1, 4); Maximum

b)

(-1, 4); Minimum

c)

(4, -1); Maximum

d)

(4, -1); Minimum

52.

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.

53.

John hits a fly ball into the air. The ball reaches a maximum height of 200 ft after 4 seconds. What is a reasonable domain of the fly ball?

a)

All real numbers between 0 feet and 200 feet

b)

All real numbers between 0 feet and 400 feet

c)

All real numbers between 0 seconds and 4 seconds

d)

All real numbers between 0 seconds and 8 seconds

54.

Which graph best represents a quadratic function that has only one zero?

a)

b)

c)

d)

55.

The graph of quadratic function $k$ is shown on the grid.

Which statements are best supported by the graph of $k$ ?

I. The x-Intercept is located at $\left(-3,0\right)$ .

II. The coordinates of the y-intercept are $\left(0,9\right)$ .

III. The axis of symmetry Is $x=-3$ .

a)

I and II only

b)

I and III only

c)

II and III only

d)

I, II, and III

56.

Quadratic function $h$ can be used to model the height in feet of a rocket from the ground $t$ seconds after it was launched. The graph of the function is shown.

Which of the following statements is true?

a)

The minimum value of the graph is $0$

b)

The graph has exactly one zero

c)

The axis of symmetry is $x=144$

d)

The maximum value of the graph is $225$

57.

Two characteristics of quadratic function $w$ are given.

○ The axis of symmetry of the graph of $w$ is $x=3$ .

○ Function $w$ has exactly one zero.

Based on this information, which graph could represent $w$ ?

a)

b)

c)

d)

58.

What is the formula for ARC?

a)

y₂-y₁ / x₂-x₁

b)

x₂-x₁ / y₂-y₁

59.

f(x) = 2x² + 12x + 16
What is the average rate of change of f(x) from f(-3) and f (-2)?

a)

2

b)

1/2

c)

-2

d)

-1/2

60.

f(x) = -x² + 6x - 8
What is the average rate of change of f(x) from f(2) to f(3)

a)

1

b)

1/2

c)

-1

d)

-1/2

61.

Use the given function or the graph to find the average rate of change

a)

3

b)

-3

c)

3/2

d)

-1/3

62.

Which of the following intervals has the largest average rate of change?

a)

[13,14]

b)

[13, 17]

c)

[16, 17]

d)

[16, 19]

63.

What is Mrs. Gordon's rate from 0 to 2 seconds?

a)

2.5 feet per second

b)

.4 feet per second

c)

5 feet per second

d)

.2 feet per second

64.

Which company shows a greater rate of change?

a)

Water's Edge Rafts

b)

Ryan's Rafts

65.

Which of the following graphs or equations have an average rate of change of 2 from the x-values 0 to 3? (check all that apply)

a)

f(x)=x²+2x-3

b)

c)

d)

f(x)=x³-7x-1

e)

66.

Which of the following graphs has the largest average rate of change from -1 to 2?

a)

b)

c)

d)

67.

Calculate the average rate of change from 20 to 40 minutes.

a)

-2 minutes per gallon

b)

-20 minutes per gallon

c)

-2 gallons per minute

d)

-20 gallons per minute

68.

$m=\frac{y_2-y_1}{x_2-x_1}$

In order to calculate rate of change using the slope formula you must first get...

a)

TWO ordered pairs

b)

ONE ordered pair

c)

help from your math teacher

69.

What is the average rate of change from x=0 to x=1

a)

-3

b)

3

c)

0

d)

2

70.

Who lives in a pineapple under the sea?

a)

Sandy Cheeks

b)

Patrick Star

c)

Spongebob Squarepants

d)

Larry the Lobster

Test 7: Quadratics (part 3) REVIEW

Total questions: 70

Worksheet time: 17hrs 16mins

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