Answer:
see attached
Explanation:
You want the graph of f(t) = -150t^2 + 120t with intercepts, vertex, axes, and f(2) marked.
Graph
The graph is shown in the attachment.
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Additional comment
The equation factors as ...
f(t) = -30t(5t -4)
The zeros are values of x that make the factors zero: x=0, x=4/5. The vertex is halftway between, at x = 2/5. The value of the function there is ...
f(2/5) = -30(2/5)(5(2/5) -4) = (-60/5)(-2) = 24 . . . . . y-value of vertex
The value of the function at x=2 is found as ...
f(2) = -30(2)(5·2 -4) = -60(6) = -360