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9.2 HW Graph & Write Equations of ParabolasName: ___1. A parabola is the set of all points in a plane equidistant from a point called the ___ and a line called the ___. 2. Compare the graphs of x

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How to fill out solved 1 a parabola

01

Identify the equation of the parabola in the form y = ax^2 + bx + c.

02

Determine the values of a, b, and c from the given equation.

03

Use these values to plot the vertex of the parabola at the point (-b/2a, f(-b/2a)), where f(x) is the equation of the parabola.

04

Find the y-intercept by evaluating the equation at x=0, giving you the point (0, c).

05

Determine the x-intercepts by setting y=0 and solving the quadratic equation ax^2 + bx + c = 0 using the quadratic formula.

06

Plot the x-intercepts and any other additional points to accurately represent the parabola.

Who needs solved 1 a parabola?

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Students studying algebra or calculus who need to graph parabolas as part of their coursework.

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Engineers and scientists who need to analyze and visualize quadratic functions in their work.

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Architects and designers who use parabolic shapes in their designs and need to accurately represent them.

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