A golf pro practices his swing by driving golf balls off the edge of a cliff into a lake. The height of the
ball above the lake (measured in meters) as a function of time (measured in seconds and
represented by the variable t) from the instant of impact with the golf club is the following:
h (t) = 58.8 + 19.6t - 4.9t²
The expressions shown are equivalent:
-4.9t2 + 19.6t + 58.8 standard form
-4.9 (t-6) (t+2) factored form
-4.9(t - 2)² + 78.4 vertex form
O Which expression is the most useful for finding how many seconds it takes for the ball to
hit the water? Why?

Q&A Education