Question

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?

Answer 1

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