Question

The graph above is a transformation of the function x 2 Write an equation for the function graphed above g ( x ) =

Answer 1

We will have the following:

First, we can see that the parabola has its vertex at (1, -3) and passes by the point (0, -4).

Now, we will have that:

$y=-a(x-1)^2-3$

Now, we solve for the factor "a":

$-4=-a(0-1)^2-3\Rightarrow1=a$

Then, we will have that the function is:

$g(x)=-(x-1)^2-3$

This can be seeing as follows: