Question

The function f(x) passes through the point (-3, 3). if g(x)=f(x-3)+4, then which one of these points, if any, must lie on the graph of g(x)?
a. (-6, 7)
b. (0,7)
c. (-6, -1)
d. (0, -1)
e. none of these

Answer 1

The prompt gave you a point:
\[f \left( -3 \right) = 3\]\[g \left( ? \right) ~~so ~~that ~~f \left( x - 3 \right) = f \left( -3 \right)\]

Answer 2

Hint: What x-value when added to -3 will give you -3? @haleyelizabeth2017

Answer 3

0

Answer 4

Precisely. Now that we know that x = 0, we can cross out A and C.

Answer 5

Okay

Answer 6

Can you find anything that you can substitute?


BIG HINT:

\[~~~~~~~~~~~~~f(−3)=3\]\[~~~~~~~~~~~~~~~~\downarrow\]\[g(0)=f(-3)+4 = ~?\]

Answer 7

So it is B?

Answer 8

Yes, exactly. Good job.

Answer 9

Thank you :)

Answer 10

You're welcome ^_^