(03/03) 5th Pd Unit 5A: Transformation of Exponential Functions

(03/03) 4th Pd Unit 5A: Transformation of Exponential Functions

By Beatrice Thames

• We have learned about transformation this semester, so we will continue that trend!!

• Let's focus on Transformations ​of Exponential Functions!!

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Transformation Of Exponential Functions

​A look in the past...

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So let's take a look at transformations of exponential functions... ​

• Watch the video on the next slide & take notes of the examples shown!! (3 minutes ONLY)

• Answer the questions provided on the slides that follow after the video.

• REMEMBER The descriptions we learned before for

  trans​formations DOES NOT change, just the type of function!!!

Algebra 2​

Transforation of Exponential Functions

​Some text here about the topic of discussion.

Keep in mind.......

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• "b" ONLY describes if the function is a growth or decay!!!​

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Multiple Choice

What is the transformation?

• Up 1

• Down 1

• Left 1

• Right 1

Multiple Choice

What is the transformation?

• Up 2

• Down 2

• Left 2

• Right 2

Multiple Choice

What is the transformation?

• Up 2 and Right 1

• Down 2 and Left 1

• Left 2 and Up 1

• Right 2 and Down 1

Multiple Choice

Which of the following is NOT a transformation of the equation

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

• Left 3 units

• Up 3 units

• Right 3 units

• Vertically stretched by a factor of 3

Multiple Choice

What transformation occurs from

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

• Reflection over the x-axis

• Reflection over the y-axis

• Vertically shift down 1 units

• Changes from growth to decay

Multiple Choice

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  $$g\left(x\right)=2^x$$  

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

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

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

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

​Some text here about the topic of discussion.

​Exponential Growth & Decay can be seen graphically as well!! ​

Multiple Choice

Is this exponential growth or decay?

• Growth
• Decay

Multiple Select

Which of these functions is a growth function? Check ALL that apply.

• $$f\left(x\right)=7\left(1.2\right)^x$$

• $$f\left(x\right)=5\left(0.8\right)^x$$

• $$f\left(x\right)=0.5\left(3\right)^x$$

• $$f\left(x\right)=3\left(\frac{4}{3}\right)^x$$

Multiple Choice

Pick the equation that is exponential growth

• y=2(0.5)^x
• y = 0.5(2)^x

Multiple Choice

Pick the equation that is exponential decay

• y=2000(0.88)
• y=0.5(1.88)

Now you know TRANSFORMATION!!

We will discuss graphing exponential functions next class!!!

Please ask any questions you need about transformations!!!

Some text here about the topic of discussion