4 years ago

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?

Mathematics

1 answer:

Ostrovityanka [42]4 years ago

7 0

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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