Identify Transformations of Exponential Functions

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-IF.C.7E

Tags

CCSS.HSF-IF.C.7E

Which of the following shows the correct transformation of the graph 2^x. Select all that apply.

• Reflection about the x-axis

• Reflection about the y-axis

• Vertical Shift upward by 4

• Vertical shift downward by 4

• Horizontal shift to the right by 9

Tags

CCSS.HSF.BF.B.3

Describe the transformation(s) of the function when compared to its parent function.

• Translation up 2 units and translation right 1 unit

• Translation down 2 units and Translation left 1 unit

• Translation left 2 units and Translation up 1 unit

• Translation right 2 units and Translation down 1 unit

• f(x)=2^x-1-3

• f(x)=2^x-1+3

• f(x)=2^x+1-3

• f(x)=2^x+1+3

Tags

CCSS.HSF.BF.B.3

Which of the following represents the correct transformation of 2^x

• Horizontal Shift to the left by 7

• Vertical Shift upwards by 7

• Horizontal Shift right by 7

• Vertical shift downwards by 7

Tags

CCSS.HSF.BF.B.3

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

• Reflection on the x axis

• Reflection on the line y=x

• Reflection on the y axis

• Reflection on y=0

Tags

CCSS.HSF.BF.B.3

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

Tags

CCSS.HSF.BF.B.3

Which of the following shows the correct transformation of the graph 5^x. Select all that apply.

• Reflection about the x-axis

• Reflection about the y-axis

• Vertical Shift upward by 10

• Vertical shift to downward by 10

• Horizontal shift to the right by 10

Tags

CCSS.HSF.BF.B.3