Question

Write an equation of the function g(x) and describe the effects on the graph of the parent function f (x)=x². g(x)=f(x-c). where c=-1.g(x)=__(type your awnser in a factored form)

Answer 1

`\begin{gathered} g(x)=f(x-c) \\ where \\ f(x)=x^2 \\ c=-10 \\ so\colon \\ g(x)=(x-(-10))^2 \\ g(x)=(x+10)^2 \end{gathered}`

It represents a Horizontal translation 10 units left.