Exponential Functions: Transformations

Transformations of Exponential Functions

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Wize High School Grade 11 Math Textbook > Exponential Functions

Transformations of Exponential Functions

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Wize High School Algebra II Textbook (Common Core) > Exponential Functions

Transformations of Exponential Functions

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Wize High School Algebra I Textbook (Common Core) > Exponential Functions

Transformations of Exponential Functions

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Wize Grade 11 Mathematics Textbook > Exponential Functions (Content Coming Soon)

Transformations of Exponential Functions

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Match the function to the correct graph. 

A.

f(x)=2(3)2x+1+1f(x)=2(3)^{2x+1}+1f(x)=2(3)2x+1+1

B.

f(x)=−(2)−x+1−3f(x)=-(2)^{-x+1}-3f(x)=−(2)−x+1−3 

C.

f(x)=(23)−2x−4+2f(x)=\Bigg(\dfrac{2}{3}\Bigg)^{-2x-4}+2f(x)=(32​)−2x−4+2 

D.

f(x)=(14)x+4+4f(x)=\Bigg(\dfrac{1}{4}\Bigg)^{x+4}+4f(x)=(41​)x+4+4  

I don't know

Transformations of Exponential Functions

Practice: Transformations of Exponential Functions
Sketch a graph of y=−(32)x+3y=-\Bigg(\dfrac{3}{2}\Bigg)^{x}+3y=−(23​)x+3. Identify the domain, range, and horizontal asymptote. 

Transformations of Exponential Functions

Practice: Transformations of Exponential Functions
Sketch a graph of y=53(12)x−3−1y=\dfrac{5}{3}\Bigg(\dfrac{1}{2}\Bigg)^{x-3}-1y=35​(21​)x−3−1. Identify the domain, range, and horizontal asymptote. 

Transformations of Exponential Functions

Practice: Transformations of Exponential Functions
The point (5,−8)(5,-8)(5,−8) is on the graph y=bxy=b^xy=bx.  What point must be on the graph of y=32(b)4x+6y=\dfrac{3}{2}(b)^{4x+6}y=23​(b)4x+6?

Transformations of Exponential Functions

Practice: Transformations of Exponential Functions
The point (−3,4)(-3,4)(−3,4) is on the graph y=bxy=b^xy=bx.  What point must be on the graph of y=−3(1b)2x+4+2y=-3\Bigg(\dfrac{1}{b}\Bigg)^{2x+4}+2y=−3(b1​)2x+4+2?

Transformations of Exponential Functions

Practice: Transformations of Exponential Functions
Which of the following is a graph of y=−2(12)xy=-2\Bigg(\dfrac{1}{2}\Bigg)^{x}y=−2(21​)x.

Transformations of Exponential Functions

Practice: Transformations of Exponential Functions
Which of the following is a graph of y=23(3)xy=\dfrac{2}{3}(3)^{x}y=32​(3)x.

Transformations of Exponential Functions

Practice: Transformations of Exponential Functions
Sketch a graph of y=−(32)x+3y=-\Bigg(\dfrac{3}{2}\Bigg)^{x}+3y=−(23​)x+3. Identify the domain, range, and horizontal asymptote. 

Transformations of Exponential Functions

Practice: Transformations of Exponential Functions
Sketch a graph of y=53(12)x−3−1y=\dfrac{5}{3}\Bigg(\dfrac{1}{2}\Bigg)^{x-3}-1y=35​(21​)x−3−1. Identify the domain, range, and horizontal asymptote. 

Transformations of Exponential Functions

Practice: Transformations of Exponential Functions
The point (5,−8)(5,-8)(5,−8) is on the graph y=bxy=b^xy=bx.  What point must be on the graph of y=32(b)4x+6y=\dfrac{3}{2}(b)^{4x+6}y=23​(b)4x+6?

Transformations of Exponential Functions

Practice: Transformations of Exponential Functions
The point (−3,4)(-3,4)(−3,4) is on the graph y=bxy=b^xy=bx.  What point must be on the graph of y=−3(1b)2x+4+2y=-3\Bigg(\dfrac{1}{b}\Bigg)^{2x+4}+2y=−3(b1​)2x+4+2?

Transformations of Exponential Functions

Practice: Transformations of Exponential Functions
Which of the following is a graph of y=−2(12)xy=-2\Bigg(\dfrac{1}{2}\Bigg)^{x}y=−2(21​)x.

Transformations of Exponential Functions

Practice: Transformations of Exponential Functions
Which of the following is a graph of y=23(3)xy=\dfrac{2}{3}(3)^{x}y=32​(3)x.

Transformations of Exponential Functions

Practice: Transformations of Exponential Functions
Sketch a graph of y=−(32)x+3y=-\Bigg(\dfrac{3}{2}\Bigg)^{x}+3y=−(23​)x+3. Identify the domain, range, and horizontal asymptote. 

Transformations of Exponential Functions

Practice: Transformations of Exponential Functions
Sketch a graph of y=53(12)x−3−1y=\dfrac{5}{3}\Bigg(\dfrac{1}{2}\Bigg)^{x-3}-1y=35​(21​)x−3−1. Identify the domain, range, and horizontal asymptote. 

Transformations of Exponential Functions

Practice: Transformations of Exponential Functions
The point (5,−8)(5,-8)(5,−8) is on the graph y=bxy=b^xy=bx.  What point must be on the graph of y=32(b)4x+6y=\dfrac{3}{2}(b)^{4x+6}y=23​(b)4x+6?

Transformations of Exponential Functions

Practice: Transformations of Exponential Functions
The point (−3,4)(-3,4)(−3,4) is on the graph y=bxy=b^xy=bx.  What point must be on the graph of y=−3(1b)2x+4+2y=-3\Bigg(\dfrac{1}{b}\Bigg)^{2x+4}+2y=−3(b1​)2x+4+2?

Transformations of Exponential Functions

Practice: Transformations of Exponential Functions
Which of the following is a graph of y=−2(12)xy=-2\Bigg(\dfrac{1}{2}\Bigg)^{x}y=−2(21​)x.

Transformations of Exponential Functions

Practice: Transformations of Exponential Functions
Which of the following is a graph of y=23(3)xy=\dfrac{2}{3}(3)^{x}y=32​(3)x.

Transformations of Exponential Functions

Practice: Transformations of Exponential Functions
Sketch a graph of y=−(32)x+3y=-\Bigg(\dfrac{3}{2}\Bigg)^{x}+3y=−(23​)x+3. Identify the domain, range, and horizontal asymptote. 

Transformations of Exponential Functions

Practice: Transformations of Exponential Functions
Sketch a graph of y=53(12)x−3−1y=\dfrac{5}{3}\Bigg(\dfrac{1}{2}\Bigg)^{x-3}-1y=35​(21​)x−3−1. Identify the domain, range, and horizontal asymptote. 

Transformations of Exponential Functions

Practice: Transformations of Exponential Functions
The point (5,−8)(5,-8)(5,−8) is on the graph y=bxy=b^xy=bx.  What point must be on the graph of y=32(b)4x+6y=\dfrac{3}{2}(b)^{4x+6}y=23​(b)4x+6?

Transformations of Exponential Functions

Practice: Transformations of Exponential Functions
The point (−3,4)(-3,4)(−3,4) is on the graph y=bxy=b^xy=bx.  What point must be on the graph of y=−3(1b)2x+4+2y=-3\Bigg(\dfrac{1}{b}\Bigg)^{2x+4}+2y=−3(b1​)2x+4+2?

Transformations of Exponential Functions

Practice: Transformations of Exponential Functions
Which of the following is a graph of y=−2(12)xy=-2\Bigg(\dfrac{1}{2}\Bigg)^{x}y=−2(21​)x.

Transformations of Exponential Functions

Practice: Transformations of Exponential Functions
Which of the following is a graph of y=23(3)xy=\dfrac{2}{3}(3)^{x}y=32​(3)x.

Transformations of Exponential Functions

Practice: Transformations of Exponential Functions
Sketch a graph of y=−(32)x+3y=-\Bigg(\dfrac{3}{2}\Bigg)^{x}+3y=−(23​)x+3. Identify the domain, range, and horizontal asymptote. 

Transformations of Exponential Functions

Practice: Transformations of Exponential Functions
Sketch a graph of y=53(12)x−3−1y=\dfrac{5}{3}\Bigg(\dfrac{1}{2}\Bigg)^{x-3}-1y=35​(21​)x−3−1. Identify the domain, range, and horizontal asymptote. 

Transformations of Exponential Functions

Practice: Transformations of Exponential Functions
The point (5,−8)(5,-8)(5,−8) is on the graph y=bxy=b^xy=bx.  What point must be on the graph of y=32(b)4x+6y=\dfrac{3}{2}(b)^{4x+6}y=23​(b)4x+6?

Transformations of Exponential Functions

Practice: Transformations of Exponential Functions
The point (−3,4)(-3,4)(−3,4) is on the graph y=bxy=b^xy=bx.  What point must be on the graph of y=−3(1b)2x+4+2y=-3\Bigg(\dfrac{1}{b}\Bigg)^{2x+4}+2y=−3(b1​)2x+4+2?

Transformations of Exponential Functions

Practice: Transformations of Exponential Functions
Which of the following is a graph of y=−2(12)xy=-2\Bigg(\dfrac{1}{2}\Bigg)^{x}y=−2(21​)x.

Transformations of Exponential Functions

Practice: Transformations of Exponential Functions
Which of the following is a graph of y=23(3)xy=\dfrac{2}{3}(3)^{x}y=32​(3)x.

Exponential Functions: Transformations

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