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Alg2 Graph Vertex Form

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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.

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

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

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.

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.

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

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.

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