Question

Solve h = −16t2 + 36t + 4.

Answer 1

I can do each of the things I asked above.
So, let's change this into vertex form:

`h=-16t^2+36t+4`

`h=(-16t^2+36t)+4`

`h=-16(t^2-2.25t)+4`

`h=-16(t^2-2.25t+1.27-1.27)+4`

`h=-16(t^2-2.25t+1.27)+20.32+4`

`h=-16(t-1.125)^2+24.32`
The vertex is at (1.125,24.32)
Answers may vary due to rounding

Factored Form:

`h = -16t^2 + 36t + 4`

`h = -4\left(4t^2-9t-1\right)`

Quadratic Formula:

`x = (-b +/- √(b^2-4(a)(c)))/(2a)`
h = -16t^2 + 36t + 4
a = -16 b = 36 c = 4

`h = (-(36) +/- √((36)^2-4(-16)(4)))/(2(-16))`

`h = (-36 +/- √(1552))/(-32)`

`h = ≈-0.11`

`h = ≈2.36`