A ball is thrown verically upward from the balcony of an apartment building. The ball falls to the ground the height of the ball, h metres, above the ground after t seconds is given by the function: h(t)= -5t^2+15t+45
I have the factored form or vertex cant remeber which one it is: y=-5(x+2.3)+56.5
I'm having trouble finding how long it takes the ball to reach the max height. and how high the balcony is
any help is appreciated thnks
h(t)= -5t^2+15t+45
next: -5(t^2-3t) (45
all i did was divide out the 5 and divide the 15 by negative 5 and took out the 45
next: -3/2=-1.5 -1.5^2= 2.3
divide negative 3 by 2 then squared the answer
next: -5(t^2-3t+2.3) -2.3 (-5) (45
-5(t^2-3t+2.3) 11.5 (45
i took out the 2.3 then multiplied the negative 5 to it
Next: -5(t^2-3t+2.3) 56.5
i added 11.5 to 45
next: y= -5(x+2.3) +56.5