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?

a) (3,-9)
b) (-3,-5)
C) (3,5)
d) (-3,5)
e) (-2,-9)
f) (6,7)
g) (-2,5)
h) (-6,-7)
e) none of the above

Answer 1

c) (3, 5)

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