Question

F(x)=x^2. what is g(x)? NEED ASAP WILL MARK BRAINLIEST

Answer 1

Answer:

$g(x)= \frac{1}{9} \times x^2$

Step-by-step explanation:

Here we can see that the parent function is $f(x)=x^2$ and the translated function is g(x). f(x) is a parabola.

Rule says that any factor if multiplied by f(x) is going to contract the graph towards the y axis and vice versa.

Similarly any factor if  f(x) is divided by some factor it is going to be stretch the graph away from the y axis and vice versa.

Here we can see that the translated graph g(x) is stretched away from the y axis with reference to the parent function f(x). Hence as per he rule discussed above, we get a preliminary information that the parent function f(x) is being divided by some factor.

now we are given that

$f(x) = x^2$

$f(3) = 3^2 = 9$

Where as

$g(3) = 1$  {as given in the graph}

Hence

at x=3 , f(x) = 9 and g(x) = 1 , and also we have discussed above that f(x) is divided by some factor. Hence $g(x)= \frac{1}{9}f(x)$

$g(x)= \frac{1}{9} \times x^2$