1.
Suppose you have the graph of
y
=
x
2
and the graph of
y
= –
x
2
. Which statement is
not
true about the two graphs?
A.
The parabolas have the same axis of symmetry.
B.
The parabolas have the same shape and width.
C.
Both parabolas open downward.
D.
The parabolas have the same vertex.
Hint
2.
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.
One graph opens upward, the other opens downward.
B.
The graphs have the same axis of symmetry.
C.
The graph of
y
=
x
2
is wider than the graph of
y
= –3
x
2
+ 1.
D.
The graphs have the same vertex.
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
– 7
B.
y
=
x
2
– 1
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
+ 16
x
+ 17
B.
y
= 4
x
2
+ 17
C.
y
= 4
x
2
– 16
x
+ 17
D.
y
= 4
x
2
– 15
Hint