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.
The parabolas have the same axis of symmetry.
D.
Both parabolas open downward.
Hint
2.
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
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
– 1)
2
+ 3
C.
y
=
x
2
– 1
D.
y
=
x
2
– 7
Hint
4.
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
+ 16
x
+ 17
C.
y
= 4
x
2
– 16
x
+ 17
D.
y
= 4
x
2
+ 17
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
+ 2)
2
– 8
C.
y
= -(
x
– 1)
2
– 5
D.
y
= -(
x
+ 1)
2
– 5
Hint