Question

The function g is defined as follows.=gx+5x27If the graph of g is translated vertically upward by 3 units, it becomes the graph of a function f.Find the expression for fx.

Answer 1

f(x) = 5x²+10

Explanations:

Given the function g(x) expressed as:

`g(x)=5x^2+7`

If the function g(x) is translated vertically upward by 3 units to produce f(x), the resulting translation used will be given as:

`f(x)=g(x)+3`

Substitute the function g(x) into the translation rule to have:

`\begin{gathered} f(x)=5x^2+7+3 \\ f(x)=5x^2+10 \end{gathered}`

Therefore the expression for f(x) is 5x²+10