how would i use this to get y coordinates for a graph

Question

A water balloon is launched from a slingshot with an initial velocity of 64 ft/sec. The height with respect to time can be modeled by the function h(t) = 64t - 16t ^ 2 where t is time in seconds.

Answer 1

Note: y for this function is h(t).

t h(t)

0        0

0.5     28

1        48

1.5     60

2        64

2.5     60

3        48

3.5     28

4        0

Answer 2

To get the y coordinates, make a table of values.

For example:

t=0

Plug in 0 for t and solve

h(t) = 64t - 16t²

h(0) = 64(0)-16(0)²=0

The first point on your graph would be (0,0)

Now move onto another point like t=1

Plug in 1 for t and solve

h(t) = 64t - 16t²

h(0) = 64(1)-16(1)²=48

The first point on your graph would be (1,48)

Keep going with t=2,3,4, etc until the water balloon hits the ground