Quiz about Graphing Exponential and Logarithmic Functions with Transformations

Question 1

Match the graph with its equation

Accepted Answer

y = log₅ (x + 1) + 1

Answer

y = log₅ (x - 1) + 1

Answer

y = log₅ (x²) + 1

Answer

y = log₅ (x)-1

Question 2

What are the transformations of this graph?

Accepted Answer

Right 1 Up 5

Answer

Right 1 Down 5

Answer

Left 1 Up 5

Answer

Left 1 Down 5

Question 3

f(x)=log₅(x+4) - 2

Describe the transformation

Accepted Answer

translation 4 units to the left, 2 units down

Answer

translation 4 units to the right, 2 units down

Answer

translation 4 units to the up, 2 units right

Answer

translation 4 units to the up, 2 units left

Question 4

Which graph represents the function shown?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 5

Accepted Answer

$$y=4^x-2$$

Answer

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

Answer

$$y=4^x+2$$

Answer

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

Question 6

Which graph matches the function

*remember the transformation has shifted it right 3 and down 3

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 7

Describe the transformation on

Accepted Answer

The graph has been shifted 3 units to the right

Answer

The graph has been shifted 3 units up

Answer

The graph has been shifted 2 units right

Answer

The graph has been shifted 3 units left

Question 8

Which graph represents the function shown?

Accepted Answer

C) Graph 3

Answer

A) Graph 1

Answer

B) Graph 2

Answer

D) Graph 4

Question 9

Using y=3^x as the parent function, what will y=3^{-x look like?}

Accepted Answer

Reflection on the y axis

Answer

Reflection on the x axis

Answer

Reflection on the line y=x

Answer

Reflection on y=0

Question 10

Determine the order of transformations

Accepted Answer

left 1, reflected over x-axis

Answer

up 1, reflected over y-axis

Answer

right 1, reflected over x-axis

Answer

left 1, reflected over y-axis

Question 11

What is the equation of the asymptote?

Accepted Answer

x = -3

Answer

x=3

Answer

y= -3

Answer

y=5

Question 12

Where is the asymptote?

Accepted Answer

x = 1

Answer

y = 1

Answer

x = -1

Answer

y = -1

Question 13

Describe the transformations of f(x)= -log₂(x+1)

Accepted Answer

left one & reflected over the x-axis

Answer

left 1

Answer

left one & reflected over the y-axis

Answer

right one & reflected over the x axis

Question 14

What is the x-intercept of log₇(x)?

Accepted Answer

1

Answer

Pizza

Answer

-1

Answer

0

Question 15

Logarithmic functions are the inverse of...

Accepted Answer

Exponential Functions

Answer

Linear Functions

Answer

Quadratic Functions

Answer

Polynomial Functions

Question 16

Select all the transformations that apply.

y = -2 log _1/2x

Accepted Answer

Vertical stretch by 2

Accepted Answer

Reflection across the x-axis

Answer

Vertical shrink by 1/2

Answer

Reflection across the y-axis

Graphing Exponential and Logarithmic Functions with Transformations

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