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 vertex.
B.
The parabolas have the same shape and width.
C.
Both parabolas open downward.
D.
The parabolas have the same axis of symmetry.
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 graph of
y
=
x
2
is wider than the graph of
y
= –3
x
2
+ 1.
C.
The graphs have the same vertex.
D.
The graphs have the same axis of symmetry.
Hint
3.
The coordinates of the vertex for the graph of
y
= –(
x
+ 3)
2
– 5 are ___________.
A.
(3, 5)
B.
(–3, 0)
C.
(–3, –5)
D.
(3, –5)
Hint
4.
Suppose you have the graph of
y
=
x
2
and the graph of
y
=
x
2
+ 5. Which statement is
not
true about the two graphs?
A.
The parabolas have the same vertex.
B.
The parabolas have the same shape and width.
C.
Both parabolas open upward.
D.
The parabolas have the same axis of symmetry.
Hint
5.
The graph of
y
= -
x
2
– 2
x
– 4 has its vertex at (-1, -3). The parabola is shifted so that the new vertex is at (2, 8). What is an equation for this new parabola?
A.
y
= -(
x
+ 2)
2
– 8
B.
y
= -(
x
+ 1)
2
– 5
C.
y
= -(
x
– 2)
2
+ 8
D.
y
= -(
x
– 1)
2
– 5
Hint