Answer:
f(x) = 5x²+10
Explanations:
Given the function g(x) expressed as:
[tex]g(x)=5x^2+7[/tex]
If the function g(x) is translated vertically upward by 3 units to produce f(x), the resulting translation used will be given as:
[tex]f(x)=g(x)+3[/tex]
Substitute the function g(x) into the translation rule to have:
[tex]\begin{gathered} f(x)=5x^2+7+3 \\ f(x)=5x^2+10 \end{gathered}[/tex]
Therefore the expression for f(x) is 5x²+10
