Question

A function f(x) is transferred from the parent function p(x) = |x| by a reflection over the x-axis, vertical stretched by a factor of 2.5 and shifted down 3 units. Write the equation for the function f(x)

Answer 1

Refrection over the x-axis changes |x| to -|x|.
Vertical stretch by a factor of 2.5 changes the function to -2.5|x|
Shifting the function down by 3 units changes the function to -2.5|x| - 3

Therefore, f(x) = -2.5|x| - 3