Question

Function g can be thought of as a translated (shifted) version of f(x) = x?Y Y6+5+432f7 6 5 4 3 21 2 3 4 5 6 7-2--3+-6-7Write the equation for g(x).

Answer 1

g(x) = (x + 5)²

Step-by-step explanation:

g is the same function f shifted 5 units to the left.

Then, if we have a function h(x) =f(x+c), h(x) is f(x) shifted c units to the left.

So, to translate f 5 units to the left, we need to replace x by (x + 5), to get:

`\begin{gathered} f(x)=x^2 \\ g(x)=f(x+5) \\ g(x)=(x+5)^2 \end{gathered}`

So, the equation for g(x) is:

g(x) = (x + 5)²