SOLUTION: How can the graph of f(x)=(x+6)^2 be obtained from the graph of y=x^2? ^2 = squared.
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Question 909403
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How can the graph of f(x)=(x+6)^2 be obtained from the graph of y=x^2?
^2 = squared.
Answer by
Theo(13342)
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it's the graph of y = x^2 shifted to the left 6 units.
when x = 0, the graph of y = x^2 has y = 0 and the graph of y = (x+6)^2 has y = 36.
the graph of y = (x+6)^2 will be always be ahead of the graph of y = x^2 by 6 units.
that means it's the same graph except it is shifted to the left 6 units.
if that was your question, then this is your answer.
here's the graph of both equations.
you can see that both graphs are identical except the graph of y = (x+6)^2 is shifted to the left 6 units.
in the graph below, the graph of y = (x+6)^2 is the red graph and the graph of y = x^2 is the black graph.
