WorksheetsGraphing/Vertex Form of a Parabola
Total questions: 10
Worksheet time: 50mins
Name
Class
Date
1.
Identify a, h, and k in the following equation. Write your answer as a,h,k (for example: 3,4,5)
y=−3(x−2)2−7
(a)
2.
If given the equation y = 3(x + 5)2 - 4, what is the vertex of the parabola?
a)
(5, -4)
b)
(-5, -4)
c)
(-15, -4)
d)
(15, -4)
3.
What is the vertex of the parabola: y=2(x-3)2+4
Write answer in (x, y) form
(a)
4.
Which of the following is the correct equation for the given graph?
a)
f(x) = (x - 2)2 - 1
b)
f(x) = (x + 2)2 - 1
c)
f(x) = -(x + 2)2 - 1
d)
f(x) = -(x - 2)2 - 1
5.
Identify the vertex and whether the graph opens up or down.
a)
(5, 2); opens up
b)
(5, 2); opens down
c)
(-5, 2); opens up
d)
(-5, 2); opens down
6.
Which of the following is the correct equation for the given graph?
a)
f(x) = -(x + 2)2 - 4
b)
f(x) = -(x - 2)2 - 4
c)
f(x) = -3(x - 2)2 - 4
d)
f(x) = -3(x + 2)2 - 4
7.
Rewrite y = x2+ 16x + 71 in graphing form by completing the square
a)
y = (x+8)2+ 7
b)
y = (x+8)2+135
c)
y = (x+16)2-185
d)
y = (x+16)2+ 327
8.
Which is the vertex of y = x2+ 16x + 71 ?
(Hint: Use complete the square)
a)
V(-8, 7)
b)
V(-8, 3)
c)
V(8, 10)
d)
V(16, -2)
9.
What is the vertex for the equation y=−3(x−2)2−7
Write your answer in (x, y) form. For example: (4, 5)
(a)
10.
Rewrite the equation in graphing form by using complete the square. y =x2−10x+15 .
a)
y=(x−5)2−10
b)
y=(x+5)2−10
c)
y=(x−5)2+40
d)
y=(x−10)2−85
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