City University of Seattle Algebra

please complete the attached worksheets

1a.
8.1-8.4: I can graph Quadratic Functions TEST
Show all your work/steps.
2. Graph: 𝑓(𝑥) = 𝑥 ‘ − 2𝑥 − 3
• Circle: Opens upward or downward
• Circle: Maximum or Minimum
• Draw the Axis of Symmetry
• Place a point on the Vertex
• How many x-intercepts?
____
1b.
Match (draw arrows from the name to
the correct function).
Factored Form
𝑓(𝑥) = 𝑎𝑥 ‘ + 𝑏𝑥 + 𝑐
Standard Form
𝑓(𝑥) = 𝑎(𝑥 − ℎ)’ + 𝑘
Vertex Form
𝑓(𝑥) = 𝑎(𝑥 − 𝑝)(𝑥 − 𝑞)
3.Graph: 𝑓(𝑥) = (𝑥 + 5)’ − 2
4. Graph:
𝑓(𝑥) = 2(𝑥 + 3)(𝑥 + 1)
Turn completed worksheet into Canvas! Assignment: Standard Form and Vertex Form
Name:
Wednesday 5/26 Worksheet: Standard Form and Factored Form
SHOW YOUR WORK FOR CREDIT
2. 𝑓(𝑥) = (𝑥 − 1)(𝑥 + 3)
What form is this quadratic function in?
(Standard Form or Factored Form)
How do you know?
Find the x-intercepts of 𝑓(𝑥). [answers should be in the form of
coordinate points (x, y)]
How did you find the x-intercepts?
Find the Axis of Symmetry for 𝑓(𝑥). (Answer should be in the
form on a line x=___)
How do you know that your answer is the correct axis of
symmetry?
Find the vertex of 𝑓(𝑥).
How did you find the vertex?
Graph the line of symmetry with a dotted line, the x-intercepts
and vertex.
Answer the following questions about the function.
Domain: ______________
Range: _______________
Axis of Symmetry: _____________
Vertex: ___________________
(Circle) Maximum or Minimum
Max/Min Value: _________
Turn completed worksheet into Canvas! Assignment: Standard Form and Vertex Form
Name:
Wednesday 5/26 Worksheet: Standard Form and Factored Form
1. 𝑔(𝑥) = 𝑥 + + 4𝑥 − 3
Which form is the function 𝑔(𝑥) in?
(Standard Form or Factored Form)
How do you know?
Find the Axis of Symmetry. (Answer should be in the form on a
line x=___)
How did you find the Axis of Symmetry?
Find the vertex of 𝑔(𝑥).
How did you find the vertex?
Choose 4 other x-values to help graph the parabola.
Why did you choose those 4 x-inputs?
Graph the line of symmetry with a dotted line, the vertex, and
the other points you found.
Answer the following questions about the function.
Domain: ______________
Range: _______________
Axis of Symmetry: _____________
Vertex: ___________________
(Circle) Maximum or Minimum
Max/Min Value: __________________
Algebra 1
Name___________________________________ ID: 1
8.2 Graphing in Standard Form Practice
Date________________ Period____
Sketch the graph of each function.
1) y = −2x 2 + 12x − 16
2) y = −x 2 − 4x − 3
y
y
3
2
2
1.5
1
1
0.5
1
2
3
4
5
6
7
8
9
10 x
−5
−1
−4
−3
−2
−1
−0.5
−2
−1
−3
−1.5
1 x
−2
−4
−2.5
−5
−3
−6
−3.5
−7
−4
3) y = x 2 + 6x + 8
4) y = x 2 − 2x
y
−5
−4
−3
−2
y
4
4
3.5
3.5
3
3
2.5
2.5
2
2
1.5
1.5
1
1
0.5
0.5
−1
−0.5
1 x
−3
−2
−1
1
2
−0.5
−1
−1
−1.5
−1.5
−2
−2
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3 x
Worksheet by Kuta Software LLC
5) y = −2x 2 + 16x − 33
6) y = 2x 2 + 12x + 14
y
−2
−1
y
1
2
3
4
5
6
5
7 x
−1
4
−2
3
−3
2
−4
1
−5
−8
−7
−6
−5
−4
−3
−2
−1
1
−6
−1
−7
−2
−8
−3
−9
−4
−10
−5
7) y = x 2 − 8x + 19
2 x
8) y = 2x 2 + 8x + 10
y
y
8
11
10
7
9
6
8
5
7
6
4
5
3
4
2
3
2
1
1
1
2
3
4
5
6
7 x
−7 −6 −5 −4 −3 −2 −1
1
2
3 x
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Worksheet by Kuta Software LLC
9) y = −x 2 + 2x − 5
10) y = x 2 − 4x + 5
y
−1
y
1
2
3
4
5
6
6
7 x
5.5
−1
5
−2
4.5
−3
4
3.5
−4
3
−5
2.5
−6
2
1.5
−7
1
−8
0.5
−9
−1
1
2
3
4
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5 x
Worksheet by Kuta Software LLC