Question

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

Answer 1

Answer:

Step-by-step 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.