Question

if you horizontally stretch the quadratic parent function, f(x)=x^2, by a factor of 3, what is the equation of the new function?

Answer 1

Answer: g(x)=(1/3(x))^2

Explanation:

Answer 2

Answer:
`g(x)=(1)/(9)x^2`

Explanation:

By definition, he quadratic parent function
`f(x)=x^2` is the simplest form of a quadratic function.

By definition, if the fucntion is multiplied by the factor b and:

|b|>0 the function is stretched.

If 0<|b|<1 the function is compressed.

Then the new function will have the form:

`g(x)=((1)/(b)x)^2`

Therefore, keeping the above on mind, if b=3, then the new function is:

`g(x)=((1)/(3)x)^2`

`g(x)=(1)/(9)x^2`