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Graph Vertex Form
By Marissa Considine
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Last updated over 2 years ago
25 questions
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Use this equation for #1-6.
f\left(x\right)=\left(x+2\right)^{2}-1
Question 1
1.
What is the vertex?
f\left(x\right)=\left(x+2\right)^{2}-1
Question 2
2.
Graph. You must plot
at least
3 clear points
and connect them with a curve.
f\left(x\right)=\left(x+2\right)^{2}-1
*You can draw the graph on the back of your packet & upload a picture, or use the drawing tools on the computer.
visibility
View drawing
Question 3
3.
What is the axis of symmetry? Type: x=______
f\left(x\right)=\left(x+2\right)^{2}-1
Question 4
4.
What is the y-intercept? Type as an ordered pair: (x,y)
f\left(x\right)=\left(x+2\right)^{2}-1
Question 5
5.
Is the graph concave up or concave down?
f\left(x\right)=\left(x+2\right)^{2}-1
Question 6
6.
Which is correct?
f\left(x\right)=\left(x+2\right)^{2}-1
Minimum value at -1
Minimum value at -2
Maximum value at -1
Maximum value at -2
Use this equation for #7-12.
f\left(x\right)=\frac{1}{2}\left(x-3\right)^{2}+2
Question 7
7.
What is the vertex?
f\left(x\right)=\frac{1}{2}\left(x-3\right)^{2}+2
Question 8
8.
Which statement is correct about the slope?
f\left(x\right)=\frac{1}{2}\left(x-3\right)^{2}+2
The y-values have a distance of 1,3,5 between each point
The y-values have a distance of 1/2,3/2,5/2 between each point
The y-values have a distance of 2,4,6 between each point
Question 9
9.
Graph. You must plot
at least
3 clear points
and connect them with a curve.
f\left(x\right)=\frac{1}{2}\left(x-3\right)^{2}+2
*You can draw the graph on the back of your packet & upload a picture, or use the drawing tools on the computer.
visibility
View drawing
Question 10
10.
What is the axis of symmetry? x=_____
f\left(x\right)=\frac{1}{2}\left(x-3\right)^{2}+2
Question 11
11.
What is the y-intercept? (x,y)
f\left(x\right)=\frac{1}{2}\left(x-3\right)^{2}+2
*If you can't tell by looking at the graph, sub 0 in for x in the equation!
Question 12
12.
Does this function have a
minimum or maximum
value? And
where
is it?
f\left(x\right)=\frac{1}{2}\left(x-3\right)^{2}+2
Use this equation for #13-18.
f\left(x\right)=-\left(x+4\right)^{2}
Question 13
13.
What is the vertex?
f\left(x\right)=-\left(x+4\right)^{2}
Question 14
14.
Will this graph be concave up or concave down?
f\left(x\right)=-\left(x+4\right)^{2}
Question 15
15.
Graph. You must plot
at least
3 clear points
and connect them with a curve.
f\left(x\right)=-\left(x+4\right)^{2}
*You can draw the graph on the back of your packet & upload a picture, or use the drawing tools on the computer.
visibility
View drawing
Question 16
16.
What is the axis of symmetry? x=____
f\left(x\right)=-\left(x+4\right)^{2}
Question 17
17.
What is the y-intercept? (x,y)
f\left(x\right)=-\left(x+4\right)^{2}
*If you can't tell by looking at the graph, sub 0 in for x in the equation!
Question 18
18.
Does this function have a
minimum or maximum
value? And
where
is it?
f\left(x\right)=-\left(x+4\right)^{2}
Use this equation for #19-23.
f\left(x\right)=-2\left(x-2\right)^{2}+6
Question 19
19.
What is the vertex?
f\left(x\right)=-2\left(x-2\right)^{2}+6
Question 20
20.
Which statement is correct about the slope?
f\left(x\right)=-2\left(x-2\right)^{2}+6
The y-values have a distance of 2,6,10 between each point
The y-values have a distance of 2,4,6 between each point
The y-values have a distance of 1,3,5 between each point
Question 21
21.
Graph. You must plot
at least
3 clear points
and connect them with a curve.
f\left(x\right)=-2\left(x-2\right)^{2}+6
*You can draw the graph on the back of your packet & upload a picture, or use the drawing tools on the computer.
visibility
View drawing
Question 22
22.
What is the axis of symmetry? x=_____
f\left(x\right)=-2\left(x-2\right)^{2}+6
Question 23
23.
What is the y-intercept? (x,y)
f\left(x\right)=-2\left(x-2\right)^{2}+6
Question 24
24.
Does this function have a
minimum or maximum
value? And
where
is it?
f\left(x\right)=-2\left(x-2\right)^{2}+6
Question 25
25.
Determine which functions are concave up or concave down.
Concave Up
Concave Down