If (-4,7) is a point on the graph of y=h(t), which of the following must be a point on the graph of y=h(-3t+5)-2?
1 answer:
Answer:
c) (3, 5)
Step-by-step explanation:
We know that one point is ...
(t, h(t)) = (-4, 7)
(-4, h(-4)) = (-4, 7)
and we want to find ...
(t, h(-3t+5) -2)
__
The function value h(-4) = 7 is the only one we know. So, we choose ...
h(-3t+5) = 7.
Then we must have
-3t +5 = -4
-3t = -9
t = 3
And the point is ...
(t, h(-3t+5) -2)
= (3, h(-4) -2) = (3, 7 -2) = (3, 5) . . . . matches choice C
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