Toretto and O'Connor graphed two different quadratic functions in vertex form. Toretto graphed f(x)=(x+3)^2+1 and O'Connor graphed g(x)=-(x-3)^2+1. Both of them drew the same graph. Who drew the correct graph?
A. Both of them are correct because the functions are the same.
B. Neither of them is correct because their graph either has the wrong vertex or the wrong direction.
C. O'Connor is correct because the vertex is (3, 1).
D. Toretto is correct because the graph is positive.
Justify your answer.
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Answer:
Recall that a quadratic function has the form
f
(
x
)
=
a
x
2
+
b
x
+
c
.
where
a
,
b
, and
c
are constants, and
a
≠
0
.
The graph of a quadratic function is a U-shaped curve called a parabola. This shape is shown below.
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