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The equation of a parabola is y=x2–8x+14. Write the equation in vertex form.

User Mgoffin
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Answer:

Explanation:

y=x^2-8x+14

To write in vertex form, group the two x-terms to make a complete square, adjust the constant term accordingly

y = x^2-8x+16 -2

factor the first three terms on the right hand side

y = (x-4)^2 -2

This means that the vertex is at x-4 = 0, or x=4, and y=2.

The equation of a parabola is y=x2–8x+14. Write the equation in vertex form.-example-1
User Ristapk
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