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Please help me with this problem i am not sure if what I calculated is correct please help.Let f(x)=12x2+4. The function g(x) is a vertical stretch of f(x) by a factor of 4. What is the equation of g(x)? Enter your answer in the box.g(x) = ---------

Please help me with this problem i am not sure if what I calculated is correct please helpLet fx12x24 The function gx is a vertical stretch of fx by a factor of class=

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SOLUTION

The given equation is

[tex]f(x)=\frac{1}{2}x^2+4[/tex]

Recall the definition of vertical stretch

vertical stretch occurs when a base graph is multiplied by a certain factor that is greater than 1

For a vertical stretch of a scale factor of 4 on f(x) g(x) will be

[tex]g(x)=4(\frac{1}{2}x^2+4)_{}[/tex]

Expand the bracket

[tex]g(x)=2x^2+16[/tex]

Therefore, the answer is

[tex]g(x)=2x^2+16[/tex]

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