If the graph of the function h defined by =hx+−4x23 is translated vertically downward by 9 units, it becomes the graph of a function f . find the expression for fx

the answer is 40.

proof:

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus