Free Printable Now I Know My A, B, C, Ds Lesson Review

1.

Compare f(x) = 3^x- 4 with the basic function g(x) = 3^x

a)

4 units up

b)

4 units to the left

c)

4 units to the right

d)

4 units down

2.

What transformations have happened to f(x) = 2^x if the new equation is
g(x) = -2^(x+3) -6

a)

It stayed the same

b)

reflects, up 3, left 6

c)

reflects, right 3, down 6

d)

reflects, left 3, down 6

3.

Given g(x)=5^x

Write a function that is reflected over the x-axis and translated 4 units to the left.

a)

f(x)= -5^x-4

b)

f(x)= -5^x+4

c)

f(x)= 5^(x-4)

d)

f(x)= 5^-(x-4)

4.

What is the transformation?

a)

Vertical Translation up 2 and Horizontal translation right 1

b)

Vertical Translation down 2 and Horizontal Translation left 1

c)

Horizontal Translation left 2 and Vertical Translation up 1

d)

Horizontal Translation right 2 and Vertical Translation down 1

5.

What is the horizontal asymptote and what transformations have taken place?
y = 2^x+2 + 1

a)

y = 2
right 2, up 1

b)

y = 1
left 2, up 1

c)

y = 1
right 2, up 1

d)

y = 2
right 1, up 2

6.

What is the asymptote of the graph?

a)

x=2

b)

y=-2

c)

y=0

d)

y=-1

7.

How has the function $7\left(3\right)^x-5$ been transformed from the parent function $7\left(3\right)^x$ ?

a)

Shifted up 5

b)

Shifted down 5

c)

Reflection over the x-axis

d)

Reflection over the y-axis

8.

How has the function $-5\left(3\right)^x$ been transformed from the parent function $5\left(3\right)^x$ ?

a)

Shifted up 5

b)

Shifted down 5

c)

Reflection over the x-axis

d)

Reflection over the y-axis

9.

In an exponential function, what does the 'a' represent?

a)

SLOPE

b)

RATE OF CHANGE

c)

Y-INTERCEPT

d)

COMMON RATIO

10.

$f\left(x\right)=3^x\ \ \ \ and\ \ \ g\left(x\right)=5\left(3\right)^x$
What transformation has taken place from the parent function to g(x)

a)

Vertical Stretch

b)

Vertical Compression

c)

Translation up 5 units

d)

Reflection across the x-axis

11.

What is the domain of the function shown below?

a)

-2 < x < 5

b)

0 < x < 12

c)

y > 0

d)

All Real Numbers

12.

Which graph best represents

y=2^x-4

a)

b)

c)

d)

13.

What is the transformation?

a)

Vertical Translation up 2

b)

Vertical Translation down 2

c)

Horizontal Translation left 2

d)

Horizontal Translation right 2

14.

What is the y-intercept of the function $y=4\left(5\right)^x?$

a)

(0, 0)

b)

(0, 4)

c)

(0, 5)

15.

Identify the y-intercept of the function $-3\left(3\right)^x+4$

a)

y-intercept at (0, -3)

b)

y-intercept at (0, 1)

c)

y-intercept at (0, -7)

16.

What is the initial value in y=4(2)^x

a)

4

b)

2

c)

x

17.

Which of the following is an exponential function?

a)

y = x²

b)

f(x) = 3x³

c)

y = x³

d)

f(x) = 3^x

18.

What is the common ratio for the function f(x) = 25 (4)^x

a)

25

b)

4

19.

The parent function f(x) is translated right 2 units resulting in g(x).

g(x) is equal to what?

a)

g(x)= f(x) + 2

b)

g(x)= f(x) - 2

c)

g(x) = f(x + 2)

d)

g(x) = f(x - 2)

20.

The parent function $f\left(x\right)=3^x$ is shown in red and is translated. What is the equation of the green graph?

a)

$g\left(x\right)=3^x+5$

b)

$g\left(x\right)=3^x-5$

c)

$g\left(x\right)=3^{x-5}$

d)

$g\left(x\right)=3^{x+5}$

21.

The parent function $f\left(x\right)=3^x$ is shown in red and is translated. What is the equation of the green graph?

a)

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

b)

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

c)

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

d)

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

22.

If the parent function $f\left(x\right)=2^x$ is translated left 8 units, what would the equation of the resulting function be?

a)

$g\left(x\right)=2^{x-8}$

b)

$g\left(x\right)=2^{x+8}$

c)

$g\left(x\right)=2^x+8$

d)

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

23.

What transformation maps $f\left(x\right)=7^x$ to $g\left(x\right)=7^{x-4}$

a)

Translates left 4 units

b)

Translates right 4 units

c)

Translates up 7 units

d)

Translates down 4 units

24.

GIven a parent function like $f\left(x\right)=5^x$ , how does the h in $g\left(x\right)=5^{x-h}$ affect the parent function?

a)

Translates the parent function horizontally (left or right)

b)

Translates the parent function vertically (up or down)

25.

Write the function for the following table:

a)

f(x) = 5x + .08

b)

f(x)= 5x + 2

c)

f(x) = .08(5)^x

d)

f(x)= 2(5)^x

26.

What type of pattern do exponential functions have?

a)

Adds or subtracts by the same number every time

b)

Multiplies or divides by the same number every time

c)

Square roots all the inputs

27.

What is the x-intercept of the exponential function?

a)

(0,1)

b)

(0,0)

c)

There is not one

28.

What is the common ratio(multiplier) for the sequence:

3, 15, 75...

a)

12

b)

1/5

c)

5

29.

What is the common ratio(multiplier) for the sequence:

28, 14, 7, 3.5...

a)

2

b)

1/2

c)

-14

d)

-7

30.

The domain of exponential functions is not affected by translations or dilations.

a)

True

b)

False

31.

Key characteristics of basic exponential functions include a domain of non-negative numbers, a range of real numbers, and a vertical asymptote at y = 0.

a)

True

b)

False

32.

Vertical translations affect the range and the horizontal asymptote of exponential functions.

a)

True

b)

False

33.

Horizontal dilations affect the range and the horizontal asymptote of exponential functions.

a)

True

b)

False

34.

Vertical dilations do not affect the range and the horizontal asymptote of exponential functions.

a)

True

b)

False

35.

Identify A, C, and D of the exponential function by telling how each letter changes the function.

Dilates

Left or right

Up or down

a

b

c

a)

b)

c)

Now I Know My A, B, C, Ds Lesson Review

Total questions: 35

Worksheet time: 2hrs 45mins

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