184.
A rock is thrown with a height equation of h = -16t
2
+ 64t + 5 (where h is the height of the rock in
feet at any given time of t in seconds). Will it reach a height of 50 feet? Explain your answer.
Vertex Form of a Parabola
Class Work
Find the vertex, direction of openness, and axis of symmetry for each of the following.
2
185.
y = 1 − 2
(x
)
+ 1
0
2
186.
− 4
y = 2 + 5
− (x
)
2
6
187.
y =
− (x
− 6
)
+ 8
5
2
188.
y = 2 + 7
(x
)
2
189.
y = 7 − 3
(x
)
+ 4
2
190.
y = 3 + 2
− (x
)
− 5
2
7
191.
y =
(x
− 4
)
+ 6
−11
2
192.
y = 4
(x)
− 4
Convert the following equations from standard form to vertex form.
2
193.
y = x
+ 6 + 2
x
194.
y = x
2
− 1
0x
+ 2
0
195.
y = x
2
+ 8 − 1
x
2
2
196.
y = x
+ 5 + 3
x
2
197.
y = x
+ x − 1
198.
y = x
2
+ 4 + 4
x
2
199.
y = 3x
+ 6 − 2
x
2
200.
y = 2x
− 1
2x
− 4
2
201.
y = − x 6
+ 1
2x
+ 2
2
202.
y = − x 5
− 1
0x
− 3
Algebra II - Quadratics