Question

the graph of y= |x| is reflected across the x-axis and then scaled vertically by a factor of 1/4what is the equation of the new graph?

Answer 1

Given a function,

$y=|x|$

The graph is reflected across the x- axis, then the equation becomes,

$y=-|x|$

Also, then it is scaled vertically be a factor of 1/4, then the equation becomes,

$y=-\frac{1}{4}|x|$

Hence the required equation.