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The vertex of a parabola is at the point (3,1), and its focus is at (3,5). What function does the graph represent?

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Sagot :

When the vertex of a parabola is at the point (3,1), and its focus is at (3,5), the function that the graph represents will be y = 1/16 (x - 3)².

How to illustrate the parabola?

From the information given, the vertex of a parabola is at the point (3,1), and its focus is at (3,5). The equation of the parabola will be:

(x - 3)² = 4a(y - 1)

The length is measured along x = 3. The final equation of the parabola will be:

(x - 3)² = 4 × 4(y - 1) = 16(y - 1)

Therefore, rearranging the equation will become:

y = 1/16 (x - 3)².

Learn more about parabola on:

brainly.com/question/14005027

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