# How to find equation of parabola with focus and vertex

Step - 1: Compare the equation of the parabola with the vertex form x = a (y - k) 2 + h and identify the values of h and k. By comparing x = 2 (y + 3) 2 + 5 with the above equation, h = 5 and k = -3.

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## Find an equation of the parabola with vertex and focus

y = a (x - h)2 + k (if the parabola opens vertically) x = a (y - k)2 + h (if the parabola opens horizontally) What's the Vertex of the Parabola? In either formula, the coordinates (h,k)

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## How To Find the Focus of a Parabola: Your Easy Guide

Find the equation of parabola whose focus is at (-2, 4) and the vertex (1, 4) is given by. Solution : Always foucs and vertex will lie on the same line. The focus is in front of vertex. So the
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## Focus of a Parabola

Draw a rough diagram of the parabola with given vertex and focus. Step 2 : From step 1, you can know the side to which the parabola opens (right or left or up or down) and the axis (x-axis

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