What happens to the maximum point of f(x) = -2x2 + 3x + 1, when the function is changed to f(x) = -2x2 + 9x + 1?A) it shifts up and leftB) it shifts up and rightC) it shifts down and leftD) it shifts down and right

Hello,

One way to do this problem, is to identify the vertex. Since it is a parabola that opens downward, the maximum point is the vertex.

Using the expression: -b/2a, you can find the x-coordinate for the vertex.
Then, input that value into the function to find the y-coordinate for the vertex.

For the first equation, you will get (0.75, 2.125) for the vertex.
For the second equation, you will get (2.25, 11.125) for the vertex.

By comparing these points, you see that the vertex shifts up and to the right.
Option B is correct.

I hope this helps, Good luck!