6.3 Task: Exponential and Logarithmic Transformations

Given the parent function f(x)=2^{x}, write the equation of the function with the following transformations:

• Vertical compression by a factor of 2/3

• Vertical shift up 5

• Reflection over the y-axis

• Horizontal shift right 4

Given the parent function f(x)=2^{x}, write the equation of the function with the following transformations:

• Reflection over the x-axis

• Vertical stretch by a factor of 3

• Vertical shift up 9

• Horizontal shift left 2

Given the parent function f(x)=\log{(x)}, write the equation of the function with the following transformations:

• Reflection over the x-axis

• Vertical shift down 1

• Horizontal shift right 4

Given the parent function f(x)=\log{(x)}, write the equation of the function with the following transformations:

• Vertical shift down 8

• Reflection over the y-axis

• Horizontal shift left 3

Given the parent function f(x)=2^{x}, write the equation of the function graphed below:

Given the parent function f(x)=2^{x}, write the equation of the function graphed below:

Given the parent function f(x)=2^{x}, write the equation of the function graphed below:

Given the parent function f(x)=\log{(x)}, write the equation of the function graphed below:

Given the parent function f(x)=log(x), write the equation of the function graphed below:

Given the parent function f(x)=log(x), write the equation of the function graphed below: