MATH SOLVE

9 months ago

Q:
# if you apply the changes below to the linear parent function ,f(x)=x what is the equation of the new function? vertically stretch by a factor of 14 flip over the x-axis

Accepted Solution

A:

Given parent function equation : f(x) = x.We need to apply transformations : 1) Vertically stretch by a factor of 14.2) Flip over the x-axis.Solution: According to rules of transformations y= a * f(x) is Vertically stretch by a factor a.Where a is a positive number and greater than 1.We need to vertically stretch parent function by a factor of 14.Therefore, we need to multiply given function by 14.f(x)= 14*x f(x) =14x.Now, we need to flip it over the x-axis.According to rules of transformations y= - f(x) is flip over x-axis.Therefore, f(x) =14x would become f(x) =-14x.Therefore, final transformed function f(x)=-14x is vertically stretch by a factor of 14 and flip over the x-axis.