Question

How is the graph of y = f(x) = lxl transformed in order to change into the graph of g(x) = -2lx-7l?

*Check all that apply*

A. the graph is shifted horizontally 7 units to the right.
B. the graph is shifted horizontally 7 units to the left.
C. the graph is reflected about the x-axis.
E. the graph is stretched vertically by a factor of 1/2.

Answer 1

y = |x| is the parent function.

For

y = a|x -h| + k,

a is a stretch, h is a horizontal shift, and k is a vertical shift.

Answer 2

so it's e, and a or b?

Answer 3

One more thing. If a is negative, then the graph opens downward, so it's reflected across the x-axis.
The -7 is inside the absolute value signs, as |x - 7|, so it's a horizontal shift to the right.
The answer is B, C, and D.