Which of the following equations represents a vertical compression of the linear parent function and a flip over the x-axis?

A. y=3x

B. y=1/3x

C. y=-1/3x

D. y=-3x

Answer: The correct answer is Choice C.

The parent function for a linear equation is y = x. This produces a straight line going up at a 45 degree angle. To flip it over the x-axis, you would have to multiply it by a negative number. y = - 1x

Now, to make the compression, you have to reduce the slope. Instead of 1, we want a number less than one.

Choice C is the only choice with a value less than 1 and negative.