Question

What kind of transformation converts the graph of f(x)=5|x|–7 into the graph of g(x)=10|x|–7?
reflection across the x-axis
horizontal stretch
horizontal shrink
reflection across the y-axis

Answer 1

Horizontal shrink.

Reason: g(x) = f(2x) = 5|2x| − 7 = 10|x| − 7, so the input is scaled by 2, which is a horizontal shrink by a factor of 1/2.