Exponential Transformations

Presentation

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Mathematics

•

9th Grade

•

Medium

•

CCSS

HSF.BF.B.3, HSF-IF.C.7E, HSF.IF.C.7

Standards-aligned

Thameena Azziz

Used 260+ times

FREE Resource

4 Slides • 10 Questions

Exponential Transformations

OBJ: SWBAT identify, describe and create functions from transformations

y\ =\ a\left(b\right)^{\left(x-h\right)}+k

Warm Up: Code - 886823

$y=a\left(b\right)^{\left(x-h\right)}+k$

$y\ =\ k\ +\ a\left(b\right)^{\left(x-h\right)}$

Multiple Choice

What is the transformation?

Vertical Translation up 2

Vertical Translation down 2

Horizontal Translation left 2

Horizontal Translation right 2

Multiple Choice

What is the transformation?

Vertical Translation up 1

Vertical Translation down 1

Horizontal Translation left 1

Horizontal Translation right 1

Multiple Choice

What is the transformation?

Vertical Translation up 2 and Horizontal translation right 1

Vertical Translation down 2 and Horizontal Translation left 1

Horizontal Translation left 2 and Vertical Translation up 1

Horizontal Translation right 2 and Vertical Translation down 1

Multiple Choice

Which graph best represents

y=2^x-4

Multiple Select

How did the graph transform from the parent function?

y=-5(2)^(x)

Down 5

Vertical Stretch by 5

Left 2

Right 2

Flipped/Reflected over the x-axis

Multiple Choice

What is the a-value of the function?

Multiple Choice

Given the original exponential function defined by y=4^x, how would the graph change if the function were:

y=2(4)^x-3+1?

Vertically stretched by a factor of 2, right 3, and up 1

Vertically compressed by a factor of 1/2, left 3 and down 1

Vertically compressed by a factor of 1/2, right 3, and down 1

Vertically stretched by a factor of 2, left 3, and up 1

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

Multiple Select

Which of the following are TRUE about the function? (Choose all that apply)

The exponential decay has been reflected.

The exponential growth has been reflected.

The function has been shifted down 2 units.

The function has an growth rate of 2.

Multiple Select

If g(x) is a transformation of f(x), describe the transformation.

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

Horizontal reflection

Vertical reflection

Reflect across the x-axis

Reflect across the y-axis

Exponential Transformations

OBJ: SWBAT identify, describe and create functions from transformations

y\ =\ a\left(b\right)^{\left(x-h\right)}+k

Warm Up: Code - 886823

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