Transformations of Exponential Functions

What is the general form of an exponential decay function?

• y = a * (1 - r)^x

• y = a * (1 - r) * x

• y = a * (1 + r)^x

• y = a * (1 - r) / x

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

In the exponential decay function y = 3(0.5)^x, what is the effect of multiplying the function by 3?

• Translate the graph 3 units to the right.

• Reflect the graph over the x-axis.

• Vertically stretch the graph by a factor of 3.

• Horizontally stretch the graph by a factor of 3.

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CCSS.HSF.BF.B.3

CCSS.HSF.LE.B.5

What are the transformations involved in the function y = 2^(x-3) compared to the basic exponential function y = 2^x?

• Vertical shift of 3 units to the left

• Horizontal shift of 3 units to the left

• Horizontal shift of 3 units to the right

• Vertical shift of 3 units to the right

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CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Describe the transformations in the function y = 4(0.5)^(x+2) compared to the basic exponential decay function y = 0.5^x.

• Vertical stretch by a factor of 4 and horizontal shift to the left by 2 units

• No transformation compared to the basic exponential decay function

• Vertical compression by a factor of 4 and horizontal shift to the right by 2 units

• Vertical stretch by a factor of 2 and horizontal shift to the left by 4 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSF.LE.B.5

• Horizontal shift

• Vertical Translation

• Reflection over the x-axis

• Reflection over the y-axis

Tags

CCSS.HSF.BF.B.3

What equation would yield a transformation right 3 units if your initial function was y=2^x

• y=2^x-3
• y=2^x+3
• y=2^x+3
• y=2^x-3

Tags

CCSS.HSF.BF.B.3

What is the transformation?

• Horizontal Translation left 2
• Vertical Translation down 2
• None
• Reflection across the line y=0

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

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

• It stayed the same
• reflects, up 3, left 6
• reflects, right 3, down 6
• reflects, left 3, down 6

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.2

What transformations occur in the following function?

• right 3, up 2
• left 3, up 2
• left 3, down 2
• right 3, down 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5