Hi there! Can I get some help please? Thanks!

What transformations change the graph of f(x) to the graph of g(x)?

f(x) = x2 g(x) = (x+5)2 - 9

A- The graph of g(x) is the graph of f(x) translated to the left 5 units and down 9 units.
B. The graph of g(x) is the graph of f(x) translated to up 5 units and right 9 units.
C. The graph of g(x) is the graph of f(x) translated to down 5 units and left 9 units.
D. The graph of g(x) is the graph of f(x) translated to the right 5 units and up 9 units.

1 Answer
Noah G
Sep 9, 2017

The answer is #A#.

Explanation:

The graph of #y = (x- p)^2 + q# is a transformation of #p# units right-hand and #q# units up. Here #p = -5# and #q = -9#. So, #5# units to the left and 9 units down.

The answer is therefore #A#.

Hopefully this helps!

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