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Get the free Equation of a parabola from focus & directrix (practice)

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Prep PreCalculus Chapter 10 Conic Sections Study Guidance ___ Date ___ Period___1. Write an equation for the parabola with focus (1, 1) and DirectX y 7.2. Write the equation of the parabola x 5 2
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How to fill out equation of a parabola

01
Determine if the parabola is opening upwards or downwards.
02
Identify the vertex of the parabola which is indicated as (h, k).
03
Determine the value of 'a' which represents the direction and width of the parabola.
04
Use the formula y = a(x - h)^2 + k to fill out the equation of the parabola.
05
Substitute the values of 'h', 'k', and 'a' into the equation to get the final equation.

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Students studying algebra or calculus
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The general equation of a parabola is y = ax^2 + bx + c, where a, b, and c are constants.
Mathematicians and scientists often work with equations of parabolas.
To fill out the equation of a parabola, one must know the vertex, focus, and directrix of the parabola.
The purpose of the equation of a parabola is to describe the shape and position of the parabola on a graph.
The equation of a parabola must include the coefficients a, b, and c which determine the shape and position of the parabola.
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