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Write the equation of the parabola in vertex form.

Write the equation of the parabola in vertex form.-example-1
User VeXii
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1 Answer

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Answer:

y = (x - 2)²

Explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (2, 0) , thus

y = a(x - 2)² + 0

To find a substitute the y- intercept (0, 4) into the equation

4 = a(- 2)² = 4a ( divide both sides by 4 )

a = 1

y = (x - 2)² ← equation of parabola in vertex form

User Martin Faucheux
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