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Playing with Quadratics Precalculus 11Topic: Graphing Quadratic FunctionsStage 1 Desired ResultsCCommunication I unthinking I contest I can communicate about math concepts in a variety of ways. I can

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How to fill out graphing quadratic functions

01

Start by identifying the general form of the quadratic function: y = ax^2 + bx + c

02

Plot the vertex of the parabola by using the formula x = -b/2a to find the x-coordinate, and then substituting the x-coordinate back into the function to find the y-coordinate

03

Determine the axis of symmetry by drawing a vertical line passing through the vertex

04

Find the x-intercepts by setting y = 0 and solving for x using the quadratic formula

05

Determine the direction of the parabola by looking at the coefficient of x^2 (a)

06

Plot additional points by picking values of x and calculating corresponding y values

07

Connect the points to draw the graph of the quadratic function

Who needs graphing quadratic functions?

01

Students studying algebra or calculus

02

Engineers and scientists analyzing data

03

Math teachers helping students understand quadratic functions

04

Anyone working with mathematical models or equations

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What is graphing quadratic functions?

Graphing quadratic functions involves plotting the graph of a quadratic equation in the Cartesian plane.

Who is required to file graphing quadratic functions?

Students learning about quadratic functions in math classes are usually required to graph them.

How to fill out graphing quadratic functions?

Graphing quadratic functions involves finding the vertex, axis of symmetry, and x and y-intercepts of the quadratic equation.

What is the purpose of graphing quadratic functions?

The purpose of graphing quadratic functions is to visualize the shape of the quadratic equation and identify key points on the graph.

What information must be reported on graphing quadratic functions?

Key information such as vertex, axis of symmetry, intercepts, and the shape of the parabola must be reported on graphing quadratic functions.

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