Question

Graph f(x) = 6x and g(x) = -6x. Then describe the transformation from the graph of f(x) to the graph of g(x)

Answer 1

See explanation below

Explanation:

The slope for f(x) is 6, meaning that you for each one x-unit you move, the plot goes up 6 y-units.

This is the same for g(x) but the slope is negative, so the line needs to face downwards. For each one x-unit you move, the plot goes down 6 y-units.

After drawing the two lines, you find that the transformation is a reflection because the lines are perpendicular to each other. They have the same slope, but in different directions.