F(x) = x2                          g(x) = (x – 3)2 + 21: the graph of f(x) is below.  draw and label g(x) on the same graph  2: describe how the graph of g(x) relates to the graph of its parent function, f(x) 

f(x - n) - shift the graph n units right

f(x + n) - shift the graph n units left

f(x) - n - shift the graph n units down

f(x) + n - shift the graph n units up

----------------------------------------------------------------------------

f(x) = x²

g(x) = (x - 3)² + 2

shift the graph of f(x) = x² three units right and two units up.

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

answer: what equations are there

step-by-step explanation: