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=-(1)/(4)|x|`

Hence the required equation.