Homework Review
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Transcript of Homework Review
EOCT Practice
Question of the Day
CCGPS GeometryDay 40 (10-2-13)
UNIT QUESTION: How are real life scenarios represented by quadratic functions?
Today’s Question:How do we graph quadratics in standard form?Standard: MCC9-12.F.IF.8
Coefficients2
0y ax bx ca
2
2
2
1. 5 24
2. 2 7 6
3. 9
y x x
y x x
y x
a, b, and c are coefficients
Examples:Find a, b, and c
Open Up / Open Down
2
0,0,
y ax bx cif a then parabola opens upif a then parabola opens down
A > 0
2 6y x x
Therefore, the parabolaopens up
Example #1
2 6y x x
A < 0Therefore, the parabolaopens down
Example #2
Examples:2
2
2
2
6. 3 2
7. 2 8
8. 3 4 1
9. 16
y x x
y x
y x x
y x
Determine if the Parabola Opens Up or Opens Down
Axis of SymmetryVertex Point
2bxa
1.Axis of symmetry is found using
2. To find the y coordinate of the vertexpoint, substitute x into the equationand solve for y.
Examples2
2
2
10. 4 9
11. 2 6
12. 6
y x x
y x x
y x x
Find the vertex point
y = a b cx x2
x b2a
y = a b cx x2
x -(x)2+2x-1 y (x, y)
2y 2 1x x
x b2a
Tell whether the graph opens up or down. Graph each using a T-chart. Find the axis of symmetry & vertex . Use a dotted line to graph the axis of symmetry.
x x2- 6x + 5 y (x, y)
1 6 52. y x x
x
b2a
x -(x)2- 2x+3 y (x, y)
2 2 32. y x x
x b2a
x (x)2 +2x-6 y (x, y)
23. y 2 6x x
x b2a
x (x)2+8x+13 y (x, y)
4 8 132. y x x
x b2a
x (x)2+8x+13 y (x, y)
25. y 2x x
x b2a
Homework
Practice Worksheet