Question

In: Advanced Math

For the following exercises, each graph is a transformation of y = 2x. Write an equation describing the transformation.

For the following exercises, each graph is a transformation of y = 2x. Write an equation describing the transformation.

 

Solutions

Expert Solution

Consider the parent graph;

y = 2x

 

Sketch the parent graph as shown below:

 

Consider the graph provided in the exercise.

Here the graph shows a reflection about-axis, that is;

f(-x) = -2x

 

Next the horizontal asymptote is x = 3, that is;

f(-x) = -2x + 3

 

Therefore, the equation after the transformation is f(x) = -2x + 3.


Therefore, the equation after the transformation is f(x) = -2x + 3.

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