Question

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) = ---------

Answer 1

The given equation is

`f(x)=(1)/(2)x^2+4`

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

`g(x)=4((1)/(2)x^2+4)_{}`

Expand the bracket

`g(x)=2x^2+16`

Therefore, the answer is

`g(x)=2x^2+16`