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Name: Date: Equations of Parabolas & Complex Numbers Review Sheet 1. What is the distance from the point (4, 1) to the line 2? What is the distance from the point 2. Given that the focus of a parabola
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Start by understanding the basic form of the equation of a parabola, which is given by y = ax^2 + bx + c, where a, b, and c are constants.
02
Determine the vertex of the parabola. The vertex is the point where the parabola reaches its minimum or maximum value. It can be obtained using the formula x = -b/2a.
03
Use the vertex information to determine the value of a. This can be done by substituting the x and y coordinates of the vertex into the equation and solving for a.
04
Find the axis of symmetry of the parabola. The axis of symmetry is a vertical line that passes through the vertex. The equation of the axis of symmetry is given by x = -b/2a.
05
Determine the value of b by using the x-coordinate of the vertex in the equation of the axis of symmetry.
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Finally, find the value of c by substituting the x and y coordinates of a known point on the parabola into the equation and solving for c.
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Equations of parabolas amp are typically used in algebra, geometry, and physics to model various real-life situations, such as projectile motion, satellite orbits, and the shape of reflectors in optical systems.
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Students studying mathematics or physics and professionals working in related fields, such as engineers and scientists, often need to work with equations of parabolas amp to analyze and solve problems involving parabolic shapes and curves.
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