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

SOLUTION

The given equation is

$f(x)=\frac{1}{2}x^2+4$

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

$g(x)=4(\frac{1}{2}x^2+4)_{}$

Expand the bracket

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

Therefore, the answer is

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