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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.

The Function G Is Defined As Followsgx5x27If The Graph Of G Is Translated Vertically Upward By 3 Units It Becomes The Graph Of A Function FFind The Expression F class=

Answer :

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

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