How do you find the VERTEX of a parabola y=x2x6?

1 Answer
Jul 21, 2015

The vertex is (12254) or (12,614).

Explanation:

y=x2x6 is a quadratic equation in the form of ax2+b2+6, where a=1,b=1,andc=6.

The vertex is the minimum or maximum point of the equation. The x value can be found using the formula x=b2a. The y value can be found by substituting the value for x into the equation and solving for y.

The value of x.

x=b2a=(1)21=12

x=12

The value of y.

y=(12)21(12)6 =

y=14126 =

The common denominator for the right side is 4. Multiply each term by a fraction so that it has a denominator of 4.

y=1412(22)6(44) =

y=1424244 =

y=254

Simplify the improper fraction.

y=614

graph{y=x^2-x-6 [-14.24, 14.23, -7.12, 7.12]}