Max height is the vertex
convert to vertex form (y=a(x-h)^2+k) by completeing the square
h(t)=-16(t²-4t)+80
h(t)=-16(t²-4t+4-4)+80
h(t)=-16((t-2)²-4)+80
h(t)=-16(t-2)²+64+80
h(t)=-16(t-2)²+144
vertex is (2,144)
at t=2, the height is 144
max height is 144ft
X=2.00+15x
2.75=2.00+15x
-2.00 -200
75=15x
Divide each side by 15
x=5
Answer: 52
Step-by-step explanation: Not much work with this one but hope this helps :)
Answer:
The vertex is (-3,-2)
Step-by-step explanation:
We can write the equation for a parabola in the form
y = a(x-h)^2 +k where (h,k) is the vertex
y =-2 (x - 3)^2 - 2
h = -3 and k =-2
The vertex is (-3,-2)
6.
the y-intercept is 4, which means the line crosses the y-axis at the point (0,4).
[just put a dot on the number four that's right under the letter y]
the slope of the line is positive, so it goes up from left to right.
Start at the y-intercept. Move up 2 and then move right 1.
You are now at the point (1,6).
[go to 1 for the horizontal line, then go up 6 spaces.] [connect two points]
7. y= -1/2-3
8. y=3x+4