Daily Regents: Translating a Function (June 2014)

I'll be reviewing a New York State Regents Exam Question every day from now until the Regents exams begin next month. At least, that is the plan.

June 2014, Question 28

The graph is not required, but it could have been used instead to explain the answer.

The vertex of the parabola represented by f(x) = x² - 4x + 3 has coordinates (2, -1). Find the coordinates of the vertex of the parabola defined by g(x) = f(x - 2). Explain how you arrived at your answer.
[The use of the set of axes below is optional.]

When translating a function, the minus two inside the parenthesis will shift all the points two places to the right. So the vertex (2, -1) in f(x) will be translated to (4, -1) in g(x).

Graphically, it looks like this. You can use the graph with the explanation or alone. However, if you only use the graph, you MUST label the vertex because that is the point that was asked for, along with an explanation. (You made a graph, that shows how you arrived at your answer. A table of values would help also.)

Any questions?

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If anyone in Brooklyn is looking for an Algebra or Geometry Regents Prep tutor, send me a note. I have a couple of weekly spots available between now and June.