Question

If the y = ( x - 6)( x + 12) is graphed in the xy – plane, what is the x-coordinate of the parabola’s vertex?

Answer 1

The x-coordinate of the parabola's vertex is 3.

Step-by-step explanation:

The given equation is y = (x - 6)(x + 12), which is a quadratic equation in the form of y = ax^2 + bx + c. To find the x-coordinate of the parabola's vertex, we can use the formula x = -b/2a.

In this equation, a = 1, b = -6, and c = 12. Plugging these values into the formula, we get x = -(-6)/(2*1) = 3.

Therefore, the x-coordinate of the parabola's vertex is 3.