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HW Graph Standard Form

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Last updated over 2 years ago
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3

Use this equation for #1-7.

f\left(x\right)=2x^{2}-4x-1

Question 1
1.

What is the vertex?
f\left(x\right)=2x^{2}-4x-1

Question 2
2.

Graph. You must plot at least 3 clear points and connect them with a curve.
f\left(x\right)=2x^{2}-4x-1

*You can draw the graph on paper & 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)=2x^{2}-4x-1

Question 4
4.

What is the y-intercept? Type as an ordered pair: (x,y)
f\left(x\right)=2x^{2}-4x-1

Question 5
5.

What is the domain?
f\left(x\right)=2x^{2}-4x-1

Question 6
6.

What is the range?
f\left(x\right)=2x^{2}-4x-1

Question 7
7.

Which is correct?
f\left(x\right)=2x^{2}-4x-1

Use this equation for #8-14.

f\left(x\right)=-x^{2}+6x-7

Question 8
8.

What is the vertex?
f\left(x\right)=-x^{2}+6x-7

Question 9
9.

Graph. You must plot at least 3 clear points and connect them with a curve.
f\left(x\right)=-x^{2}+6x-7

*You can draw the graph on paper & 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)=-x^{2}+6x-7

Question 11
11.

What is the y-intercept? (x,y)
f\left(x\right)=-x^{2}+6x-7

Question 12
12.

What is the domain?
f\left(x\right)=-x^{2}+6x-7

Question 13
13.

What is the range?
f\left(x\right)=-x^{2}+6x-7

Question 14
14.

Does this function have a minimum or maximum value? And where is it?
f\left(x\right)=-x^{2}+6x-7

Use this equation for #15-21.

f\left(x\right)=x^{2}+2x-4

Question 15
15.

What is the vertex?
f\left(x\right)=x^{2}+2x-4

Question 16
16.

Graph. You must plot at least 3 clear points and connect them with a curve.
f\left(x\right)=x^{2}+2x-4

*You can draw the graph on paper & upload a picture, or use the drawing tools on the computer.

Question 17
17.

What is the axis of symmetry? x=____
f\left(x\right)=x^{2}+2x-4

Question 18
18.

What is the y-intercept? (x,y)
f\left(x\right)=x^{2}+2x-4

Question 19
19.

What is the domain?
f\left(x\right)=x^{2}+2x-4

Question 20
20.

What is the range?
f\left(x\right)=x^{2}+2x-4

Question 21
21.

Does this function have a minimum or maximum value? And where is it?
f\left(x\right)=x^{2}+2x-4

Use this equation for #22-30.

f\left(x\right)=-\frac{1}{2}x^{2}-4x-2

Question 22
22.

Will this graph be concave up or concave down?
f\left(x\right)=-\frac{1}{2}x^{2}-4x-2

Question 23
23.

What is the vertex?
f\left(x\right)=-\frac{1}{2}x^{2}-4x-2

Question 24
24.

Which statement is correct about the slope?
f\left(x\right)=-\frac{1}{2}x^{2}-4x-2

Question 25
25.

Graph. You must plot at least 3 clear points and connect them with a curve.
f\left(x\right)=-\frac{1}{2}x^{2}-4x-2

*You can draw the graph on paper & upload a picture, or use the drawing tools on the computer.

Question 26
26.

What is the axis of symmetry? x=_____
f\left(x\right)=-\frac{1}{2}x^{2}-4x-2

Question 27
27.

What is the y-intercept? (x,y)
f\left(x\right)=-\frac{1}{2}x^{2}-4x-2

Question 28
28.

What is the domain?
f\left(x\right)=-\frac{1}{2}x^{2}-4x-2

Question 29
29.

What is the range?
f\left(x\right)=-\frac{1}{2}x^{2}-4x-2

Question 30
30.

Does this function have a minimum or maximum value? And where is it?
f\left(x\right)=-\frac{1}{2}x^{2}-4x-2

Find all the characteristics of this function without graphing it!

f\left(x\right)=x^{2}-8x+13

Question 31
31.

What is the vertex?
f\left(x\right)=x^{2}-8x+13

Question 32
32.

Which statement is correct about the slope?
f\left(x\right)=x^{2}-8x+13

Question 33
33.

What is the axis of symmetry? x=_____
f\left(x\right)=x^{2}-8x+13

Question 34
34.

What is the y-intercept? (x,y)
f\left(x\right)=x^{2}-8x+13

Question 35
35.

What is the domain?
f\left(x\right)=x^{2}-8x+13

Question 36
36.

What is the range?
f\left(x\right)=x^{2}-8x+13

Question 37
37.

Does this function have a minimum or maximum value? And where is it?
f\left(x\right)=x^{2}-8x+13

Question 38
38.

Match each graph AND range to its correct equation.