Find the vertex and zeros of the parabola

Vertex:

Zeros:  and

Step-by-step explanation:

1) Find the x-coordinate of the vertex

where the equation is

2) Find the y-coordinate of the vertex

Plug the x-coordinate back into the original equation

Therefore, the vertex of the parabola is .

3) Find the zeros of the parabola

Rewrite the equation so that it equals 0

Divide both sides by -16

Simplify the fraction

Complete the square; first isolate t²-t

Complete the square; Add to both sides

Take the square root of both sides

Isolate t

Find the zeros

Therefore, the zeros of the parabola are and .

I hope this helps!

(-5,-28)

i graphed to on desmos.