Solve everything in the parenthesis first.
(6)*2 + 1 / 4(4 - 18 + 30)
12 + 1 / 4 (16)
13 / 64
Hope this helps!
H(t) = -16(t^2) + 64t
roots:
0 = -16t^2 + 64t
0 = t^2 - 4t
0 = t(t-4)
t=0 and t =4
The symmetry axis is at the middle of the two roots: t = (0+4)/2
That time (t=2) is what it takes the object to reach the maximum height.
Answer: t = 2; it takes 2 seconds to reach the maximum height and 4 seconds to fall back to the ground
Answer:
y + 4 = a(x - 7)^2
Step-by-step explanation:
The standard vertex form of a parabola with vertex at (h, k) is
y - k = a(x - h)^2
and if we start with the simplest case, y = a(x)^2 and translate its graph 7 units to the right and 4 units down, we get y - {-4] = a(x - 7)^2, or
y + 4 = a(x - 7)^2
2(x-7)/3=-2
3*2(x-7)/2*3=-2*3/2
x-7=-2*3/2
x-7=3*-1
x+(7-7)-7-3
x=7-3
x=4