Question

Describe how to obtain the graph of g(x)=(x-3)^2+3 from the parent function f(x)=x^2

a.
3 units right and 3 units up
b.
3 units left and 3 units down
c.
3 units right and 3 units down
d.
3 units left and 3 units up

Answer 1

add to x, move graph to left

subtract from x, move graph to right

add a constant to function, move graph up

subtract a constant to the function, move graph down

g(x)=(x-3)^2+3

move f(x)

3 units right, 3 units up