Question

22. (04.07)
Use the graph of a translated function below to answer this question:



Given the parent function of f(x) = x3, what is the value of h in the translated graph of f(x - h) + k?


h = -3
h = -2
h = 2
h = 3

Answer 1

I would have said -3 because h is a horizontal shift and negatives cause a shift to the right where as a positive value causes a shift to the left, but appearantly the correct answer is h = 3, why??

Answer 2

@Michele_Laino

Answer 3

hint:
the equation of the graph, is:
\[\huge y = {\left( {x - 3} \right)^3} + 2\]

Answer 4

So h is -3 :/ which is what I thought but my teacher says thats wrong... is it -3?

Answer 5

please, we have to compare with this equation:
\[\huge y = {\left( {x - h} \right)^3} + k\]
so \(h=3,\;k=2\)

Answer 6

Okay so you do not count to - in front of the h? .-.

Answer 7

no, since if we substitute, \(h=3,\;k=2\) we get my formula above

Answer 8

Okay, but why does it shift to the right?

Answer 9

physically (in the sense of Physics) speaking, when I write:
\(y=f(x)\) and \(g=f(x-3)\) I'm speaking about progressive waves, which are moving to the right

Answer 10

Wait, so 3 is positive because the standard formula has (x-h) and if h were negative it would be (x-(-h)) and a negative value (x+h) actually goes left and a positive (x-h) actually goes right but a short cut would just to go right if you see (-) and left if you see (+)?

Answer 11

yes! That's right!

Answer 12

Okay I get it now. C: My textbook did not explain anything! It just said (x+h) goes left and (x-h) goes right so I just assumed that whenever I saw (x-h) it meant h was negative and went right, never thought about it the other way but now it makes sense :D thanks!

Answer 13

:)