The function f is defined for all real numbers x by f (x) = ax^2 + bx + c, where a , b , and c are constants and a is negative. In the xy-plane, the x-coordinate of the vertex of the parabola y = f (x) is −1. If t is a number for which f (t) > f (0), which of the following must be true?

i think asking google will you get the answer to that question

for future students the answer is b

hope i

-lavira: )

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