Free Printable Wk 14 Quizz Review

1.

The graph

g\left(x\right)=2^{\left(x-3\right)}

is shown, which statement best describes the transformation from the parent graph

f\left(x\right)=2^x

.

a)

Vertically shift up 3

b)

Vertically shift down 3

c)

Horizontally shift right 3

d)

Horizontally shift left 3

2.

Which graph best represents

y=2^x-4

a)

b)

c)

d)

3.

Which of the following is NOT a transformation of the equation

f\left(x\right)=3\cdot2^{\left(x-3\right)}+3

a)

Shift horizontally left 3 units

b)

Shift vertically up 3 units

c)

Shift horizontally right 3 units

d)

Vertically stretched by a factor of 3

4.

Is the following equation an exponential growth or decay?

f\left(x\right)=2\left(\frac{1}{2}\right)^x

a)

Exponential Growth

b)

Exponential Decay

5.

Is the following equation an exponential growth or decay?

f\left(x\right)=\frac{1}{2}\left(3\right)^x

a)

Exponential Growth

b)

Exponential Decay

6.

Which of the following function best represents this graph?

a)

$g\left(x\right)=2^x+2$

b)

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

c)

$m\left(x\right)=-2^x-2$

d)

$f\left(x\right)=0.5^x+2$

7.

Which of the following function best represents this graph?

a)

$g\left(x\right)=3\cdot2^x+1$

b)

$k\left(x\right)=3\cdot2^{\left(x-1\right)}$

c)

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

d)

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

8.

What transformation occurs from

y=2^x

to

y=-1\cdot2^x

a)

Reflection over the x-axis

b)

Reflection over the y-axis

c)

Vertically shift down 1 units

d)

Changes from growth to decay

9.

Which of the following describes the transformation of $f\left(x\right)=\frac{1}{2}\cdot2^{\left(x+2\right)}-3$ from the parent graph $g\left(x\right)=2^x$

a)

Vertically shift down 3, horizontally shift left 2, and vertically compressed 1/2 units

b)

Vertically shift up 3, horizontally shift left 2, and vertically compressed 1/2 units

c)

Vertically shift down 3, horizontally shift right 2, and vertically compressed 1/2 units

d)

Vertically shift up 3, horizontally shift right2, and vertically compressed 1/2 units

10.

What is the equation for the asymptote for the graph of $f\left(x\right)=2^{\left(x-3\right)}$ ?

a)

$x=0$

b)

$y=0$

c)

$x=3$

d)

$y=2$

11.

For $y=a\left(b\right)^x+k$ , how does adding a constant k transform the parent function?

a)

Horizontal shift

b)

Vertical Shift

c)

Reflection over the x-axis

d)

Reflection over the y-axis

12.

What transformation is g(x) = f(-x) if f(x) is 2^x

a)

f(-x) always means a horizontal shift

b)

f(-x) always means a reflection on the Y Axis

c)

f(-x) always means a vertical shift

d)

f(-x) always means a reflection on the X Axis

13.

Create a stretch of 3 on function f(x) = 2^x to make g(x)

a)

g(x) = 2^x+3

b)

g(x) = 2^x-1

c)

g(x) = 6^x

d)

g(x) = 3(2^x)

14.

To condense a function you do what to f(x)

a)

g(x) =f(x) - 2

b)

g(x0 = f(x-2)

c)

g(x) = 2f(x)

d)

g(x) = 0.5f(x)

15.

Describe the transformation that occurred

f(x) = 2^x

s(x) = 7(2)^x

a)

vertical compression

b)

Up 7 Units

c)

Over 7 Units

d)

vertical stretch

16.

Which of the following function best represents this graph?

a)

$g\left(x\right)=2^x+2$

b)

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

c)

$m\left(x\right)=-2^x-2$

d)

$f\left(x\right)=0.5^x+2$

17.

Which of the following function best represents this graph?

a)

$g\left(x\right)=3\cdot2^x+1$

b)

$k\left(x\right)=3\cdot2^{\left(x-1\right)}$

c)

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

d)

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

18.

a)

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

b)

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

c)

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

d)

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

19.

a)

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

b)

$y=4^x-2$

c)

$y=-4^x-2$

d)

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

20.

a)

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

b)

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

c)

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

d)

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

21.

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

22.

What does the quadratic function that has a vertex of (3,4) look like?

a)

y = a(x+3)² + 4

b)

y = a(x-3)² + 4

c)

y = -a(x+3) - 4

d)

y = a(x-3)² - 4

23.

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

24.

Identify the vertex of f(x) = 5(x+6)² - 7

a)

(5,6)

b)

(0,0)

c)

(6,-7)

d)

(-6,-7)

25.

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

26.

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

27.

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

28.

What is the vertex of this equation?

y = (x + 4)² -6

Pay attention to negative signs!

a)

(4, 6)

b)

(-4, -6)

c)

(-4, 6)

d)

(4, -6)

29.

Graph $y=x^2$ first. Find the equation of the parabola that has moved...

5 units to the right

a)

y=x^2+5

b)

$y=x^2-5$

c)

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

d)

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

30.

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

a)

g(x)=(x+3)²

b)

g(x)=(x-3)²

c)

g(x)=x²+3

d)

g(x)=x²-2

31.

What do you use to figure out how the graphs changed? Choose all that apply.

a)

your brain

b)

your eyeballs

c)

Desmos or the calculator

d)

nothing. You just guess

32.

What is the missing number to complete the equation of the graph?
$y\ =\ \left(x\ \pm\ ?\right)^2\ -\ 2$

a)

+ 2

b)

- 2

c)

+ 3

d)

- 3

33.

What is the missing number to complete the equation of the graph?
$y\ =\ -2\left(x\ \pm\ ?\right)^2\ -\ 2$

a)

+ 2

b)

- 2

c)

+ 4

d)

- 4

34.

Complete the square for

x² + 12x + ____

(find the missing number in the blank)

a)

x² + 12x + 144

b)

x² + 12x + 36

c)

x² + 12x - 36

d)

x² + +12x - 144

35.

Convert to vertex form:

y = x² + 4x + 10

a)

y = (x + 4)² + 6

b)

y = (x + 2)² + 6

c)

y = (x + 4)² - 6

d)

y = (x + 2)² - 6

36.

Convert to vertex form:

y = x² + 8x - 1

a)

y = (x + 4)² - 17

b)

y = (x + 4)² - 16

c)

y = (x + 4)² - 9

d)

y = (x + 4)² - 15

37.

In vertex form,

f(x) = a(x - h)²+ k

what does the h stand for?

a)

the y-coordinate of the vertex

b)

the x-coordinate of the vertex

c)

the x-intercept

d)

the y-intercept

38.

Which of the following equations shows the vertex form of a quadratic?

a)

x = -b/2a

b)

x = (-b ±√b² - 4ac)/2a

c)

y = ax² + bx + c

d)

y = a(x - h)² + k

39.

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

a)

ax + by = c

b)

y = a(x - h)² + k

c)

y = ax² + bx + c

d)

y = mx + b

40.

Determine the values of a, b, and c for the quadratic equation:

4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

41.

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

a)

No Real Solution

b)

c)

d)

42.

Solve using the quadratic formula.
2x² - 9x - 35 = 0

a)

x = 7/2, x = -6

b)

x = -5/2, x =5

c)

x = -3/7, x =6

d)

x = -5/2, x = 7

43.

$2m^2=-2m+12$
Solve using the quadratic formula.

a)

$x=2,-3$

b)

$x=3,-2$

c)

$x=1\pm\sqrt{13}$

d)

No Solution

44.

Solve using the quadratic formula...

9x² = 4 + 7x

a)

b)

c)

d)

No solution

45.

What is the "c" value in the equation..

4x^2=18

a)

4

b)

18

c)

0

d)

-18

46.

Identify the values of A, B, and C

5x²+ x - 18 = - 9x + 3x²

a)

A=2, B=10, C=-18

b)

A=5, B=1, C=-18

c)

A=8, B=-8, C=-18

d)

A=2, B=9, C=-18

47.

Which is the parent function of a quadratic?

a)

$y=x^2-5$

b)

$y=x^2+3x\ -2$

c)

$y\ =\ x^2$

d)

$y=2x+8$

48.

At what point does the axis of symmetry intersect a parabola?

a)

The y-intercept.

b)

The vertex.

c)

The x-intercept.

d)

The maximum.

49.

What shape is the graph of a quadratic function?

a)

U shaped.

b)

V shaped.

c)

Linear.

d)

C shaped.

50.

The name for the maximum or minimum point on a graph is?

a)

y-intercept

b)

x-intercept

c)

vertex

d)

axis of symmetry

51.

The graph of a quadratic is called a?

a)

v shape

b)

u shape

c)

line

d)

parabola

52.

What is the equation of the axis of symmetry?

a)

y = 4

b)

y = -4

c)

x = 4

d)

x = -4

53.

Is this a max or min?

a)

max

b)

min

c)

cannot be determined

54.

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

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

55.

What are the coordinates of the y-intercept?

a)

(-3, 0)

b)

(0, -3)

c)

(2, 1)

d)

y=-3

56.

How many zeros does this parabola have?

a)

3

b)

2

c)

0

d)

1

57.

What are the roots of the following quadratic?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

58.

What are the coordinates of the point symmetric to the y-intercept?

a)

(2, 6)

b)

(4,4)

c)

(-1,5)

d)

(5.5, 0)

59.

What is the domain and the range for the graph?

a)

Domain : [-2, 2]

Range : [0, 4]

b)

Domain : [0, 4]

Range : [-2, 2]

c)

Domain : (-∞, ∞)

Range : (-∞, 4]

d)

Domain : [-2, 2]

Range : (-∞, 4]

60.

Determine the domain and range of the function

a)

Domain: (-∞, ∞)

Range: (-∞, ∞)

b)

Domain: [-4, ∞)

Range: (-∞, ∞)

c)

Domain: (-∞, ∞)

Range: [-4, ∞)

d)

Domain: [-1, 5]

Range: [-4, ∞)

61.

f(x) is the same thing as ______.

a)

y

b)

x

c)

input

d)

an equation

62.

What is x if
f(x) = -2?

a)

4

b)

0

c)

3

d)

8

63.

Given h(x) = 5 - 9x, find h(8).

a)

h(8) = -360

b)

h(8) = -67

64.

What is f(1)?

a)

1

b)

5

c)

0

d)

4

65.

For the function f(x) = -3(x-1) find f(0).

a)

0

b)

-3

c)

3

d)

-1

66.

Evaluate f(-2) if f(x) = x + 3

a)

-1

b)

1

c)

5

d)

-5

67.

Evaluate f(-2) if f(x) = x²+ 3

a)

-1

b)

1

c)

7

d)

-7

68.

What is x if
f(x) = -2?

a)

4

b)

0

c)

3

d)

8

69.

Let w(x) = 3x - 7. If w(x) = 14, find x.

a)

7

b)

35

c)

2.33333

d)

-49

70.

If f(x) = x - 5, what is the value of x when f(x) = 15?

a)

20

b)

10

c)

5

d)

0

71.

If f(x) = -4x - 5 and
g(x) = 3 - x,
what is g(-4) + f(1)?

a)

7

b)

-2

c)

-9

d)

-10

72.

If h(x) = -5x + 7,
Evaluate 6h(2).

a)

-2

b)

3

c)

-18

d)

-3

73.

If g(x) = 9x, what is -1g(2)?

a)

18

b)

-18

c)

17

d)

-9

74.

How would you say h(n)

a)

n of h

b)

h of n

75.

Is this table a function or not a function?

a)

Function

b)

Not a Function

76.

Is this a function? Explain.

a)

Yes; it passes the horizontal line test.

b)

No; it is not a straight line.

c)

Yes; it passes the vertical line test.

d)

No; there is a line connecting the dots.

77.

Your starting salary is $34,000. You get an annual raise of 2.5%. Which equation represents how much your salary will be in, x, years.

a)

$y=34000\left(2.5\right)^x$

b)

$y=34000\left(1+2.5\right)^x$

c)

$y=34000\left(1+0.025\right)^x$

d)

$y=34000\left(1+0.25\right)^x$

78.

Your starting salary is $34,000. You get an annual raise of 2.5%. How much your salary will be after working 5 years?

a)

$38,468

b)

$103,760

c)

$50,032

d)

$425,000

79.

The first year of a charity walk event had an attendance of 500 people. The attendance y increases by 5% each year. Which equation represents how many people attend the charity walk after x years?

a)

$y=500\left(5\right)^x$

b)

$y=500\left(1+0.5\right)^x$

c)

$y=500\left(1+5\right)^x$

d)

$y=500\left(1+0.05\right)^x$

80.

The population of a small town was 3600 in 2005. The population increases by 4% annually. What was the population in 2009?

a)

4211

b)

13829

c)

0

d)

3800

81.

The growth rate is 12%. The growth factor is...

(a)

Wk 14 Quizz Review

Total questions: 81

Worksheet time: 4hrs 3mins

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