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ELEN [110]
2 years ago
6

The equation of a parabola is y=x^2–4x+13. Write the equation in vertex form.

Mathematics
2 answers:
Korolek [52]2 years ago
5 0

Answer:

y = (x - 2)² + 9

Step-by-step explanation:

To obtain the equation in vertex form use the method of completing the square.

Add/ subtract ( half the coefficient of the x- term)² to x² - 4x

y = x² + 2(- 2)x + 4 - 4 + 13

  = (x - 2)² + 9 ← in vertex form

weqwewe [10]2 years ago
3 0

Answer:

vertex form : y=(x-2)^2+9

Step-by-step explanation:

To convert a parabola from standard form y=x^2-4x+13 to vertex form, we complete the square.

first, complete the square using the x-terms, use the constant term to adjust and make a perfect square.

y=  x^2-4x+4   +  9

Factor the first three terms on the right-hand side.

y=(x-2)^2 + 9

the resulting express is then the vertex form, which means that

the vertex is at (x-2) = 0, x=2, and at y=9.  

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