6.3 Task: Exponential and Logarithmic Transformations

By Miss Douglas
Last updated 7 months ago
14 Questions
Part 1: Equation to Verbal
Required
Identify the transformations made to the function: y=-\frac{1}{2}(2^{(x-3)})+4
Reflection over the__________
Vertical __________
Vertical__________
Horizontal __________
Required
Identify the transformations made to the function: y=6(2^{-(x-3)})+4
Reflection over the__________
Vertical __________
Vertical__________
Horizontal __________
Required
Identify the transformations made to the function: y=-4\log{(-x)}-3
Reflection over the__________
Vertical __________
Vertical __________
Horizontal __________
Required
Identify the transformations made to the function: y=\frac{1}{2}\log{(x+4)}+2
Reflection over the__________
Vertical __________
Vertical __________
Horizontal __________
Part 2: Verbal to Equation
Required

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

Required

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

Required

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

Required

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

Part 3: Graph to Equation
Required

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

Required

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

Required

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

Required

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

Required

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

Required

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