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EOCT Practice. Question of the Day. CCGPS Geometry. 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. Coefficients. a, b, and c are coefficients. Examples:

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Eoct practice

EOCT Practice

Question of the Day


Ccgps geometry
CCGPS Geometry

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


Coefficients
Coefficients

a, b, and c are coefficients

Examples:

Find a, b, and c



Example #1

A > 0

Therefore, the

parabola

opens up


Example #2

A < 0

Therefore, the

parabola

opens down


Examples:

Determine if the Parabola

Opens Up or

Opens Down


Axis of symmetry vertex point
Axis of SymmetryVertex Point

  • Axis of symmetry is found using

  • To find the y coordinate of the vertex

  • point, substitute x into the equation

  • and solve for y.


Examples
Examples

Find the vertex point



1. Put the equation in standard form:

3. Find the axis of symmetry:

(vertical line)

Notes-Graphing Quadratic Equations 3.1

Steps to graph quadratic equations

2. Identify the values of a, b, and c.


Steps to graph quadratic equations (cont.)

4. Find your vertex (substitute your axis of symmetry

back into the original equation and solve for y).

5. Construct a table of values for x and y. Choose

values of x, two above and two below your vertex.

6. Plot the points and connect them with a U-shaped curve.


If a is positive, then the

parabola will open up.

If a is negative, then the

parabola will open down.

Graph opens up or opens down?


OPENS DOWN

a = -1

b = 2

c = -1


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.

OPENS UP

a = 1

b = -6

c = 5


OPENS DOWN T-chart. Find the axis of symmetry &

a = -1

b = -2

c = 3


OPENS DOWN T-chart. Find the axis of symmetry &

a = 1

b = 2

c = -6


OPENS UP T-chart. Find the axis of symmetry &

a = 1

b = 8

c = 13


OPENS UP T-chart. Find the axis of symmetry &

a = -1

b = 2

c = 0


Homework
Homework T-chart. Find the axis of symmetry &

Practice Worksheet


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