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