Question

Mitchell knows that
f
(
x
)
=
x
2
is the parent graph of a quadratic. What steps should he take if he wants to transform the parent graph to obtain the graph of
f
(
x
)
=
(
x
+
6
)
2
−
3
?

A.
He should shift it 6 units to the right and 3 units up.

B.
He should shift it 6 units to the left and 3 units up.

C.
He should shift it 6 units to the left and 3 units down.

D.
He should shift it 6 units to the right and 3 units down.

Answer 1

C. The (x+6)^2 shifts the graph 6 units left (x - (-6)), and the −3 shifts it 3 units down.