1.
Suppose you have the graph of
y
=
x
2
and the graph of
y
= –3
x
2
+ 1. Which statement is
not
true about the graphs?
A.
The graphs have the same vertex.
B.
One graph opens upward, the other opens downward.
C.
The graph of
y
=
x
2
is wider than the graph of
y
= –3
x
2
+ 1.
D.
The graphs have the same axis of symmetry.
Hint
2.
The coordinates of the vertex for the graph of
y
= (
x
– 1)
2
+ 2 are ___________.
A.
(–1, 2)
B.
(1, 2)
C.
(1, –2)
D.
(–1, –2)
Hint
3.
Write an equation of the parabola that is the graph of
y
=
x
2
– 4 moved up 3 units.
A.
y
=
x
2
– 1
B.
y
=
x
2
+ 7
C.
y
=
x
2
– 7
D.
y
= (
x
– 1)
2
+ 3
Hint
4.
The graph of
y
= 2
x
2
has its vertex at (0, 0). The parabola is shifted so that the new vertex is at (–2, 3). What is an equation for this new parabola?
A.
y
= 2(
x
– 2)
2
+ 3
B.
y
= 2(
x
+ 2)
2
+ 3
C.
y
= 2(
x
– 2)
2
– 3
D.
y
= 2(
x
+ 2)
2
– 3
Hint
5.
Write an equation of the parabola that is the graph of
y
= 4
x
2
+ 1 moved left 2 units.
A.
y
= 4
x
2
– 15
B.
y
= 4
x
2
+ 17
C.
y
= 4
x
2
– 16
x
+ 17
D.
y
= 4
x
2
+ 16
x
+ 17
Hint