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Find the equation of the parabola in each of the cases given below.
Finding equation of parabola math. Could be re written in vertex form. Y a x h 2 k. The equation of the parabola is given by y 3 x 2 2 x 2 example 4 graph of parabola given diameter and depth find the equation of the parabolic reflector with diameter d 2 3 meters and depth d 0 35 meters and the coordinates of its focus. We learn how to find the equation of a parabola by writing it in vertex form.
In the previous section we learnt how to write a parabola in its vertex form and saw that a parabola s equation. Free math problem solver answers your algebra geometry trigonometry calculus and statistics homework questions with step by step explanations just like a math tutor. I focus 4 0 and directrix x 4. Is the horizontal coordinate of the vertex.
Equation of the. From the given information we know that the given parabola is symmetric about x axis and it is open leftward. The easiest way to find the equation of a parabola is by using your knowledge of a special point called the vertex which is located on the parabola itself. Recognizing a parabola formula if you see a quadratic equation in two variables of the form y ax2 bx c where a 0 then congratulations.
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