- #1

karush

Gold Member

MHB

- 3,269

- 5

a. find the vertex convert to vertex form $g(t)=a(t-h)^2-k$

\item $g(t)=3\left(t-\dfrac{5}{3}t+\left(\dfrac{5}{6}\right)^2\right)

+1-\dfrac{25}{12}

=3\left(t-\dfrac{5}{6}\right)^2-\dfrac{13}{12}$

b. the parabola opens up and the vertex is $\left(\dfrac{5}{6},-\dfrac{13}{12}\right)$

c. is decreasing or increasing

interval of increasing is $\left[\dfrac{5}{6}<x \right]$

and the interval of decreasing is $\left[x<\dfrac{5}{6}\right]

ok, hopefully this is correct

typos maybe

the parabola seens to be used a lot in speed problems