word problem

Question

Describe how the graph of the equation relates to the graph of y=x^2.  f(x)=(x-2)^2+7

Answer 1

In general, the graph of f(x-h) will shift the graph of f(x) to the RIGHT h units.
In general, the graph of f(x+h) will shift the graph of f(x) to the LEFT h units.
In general, the graph of f(x) + k will shift the graph of f(x)  UP k units.
In general, the graph of f(x) - k will shift the graph of f(x)  DOWN k units.

So, think about how the graph here changes from the graph of y = x².

What would you do to y = x² to get the graph of y = (x - 2)² ?  (shift LEFT or RIGHT)
Then, what would you do to that resulting graph to get the graph of y = (x - 2)² + 7 ?  (shift UP or DOWN)