Question

Find the equation of the axis of symmetry of the following parabola algebraically: y = 2x^2 - 24x + 86.

A) x = 6
B) x = 8
C) x = 12
D) x = 0

Answer 1

To find the axis of symmetry of a parabola, use the formula x = -b/2a with the given coefficients. In this case, the equation of the axis of symmetry is x = 6.

Step-by-step explanation:

To find the axis of symmetry of a parabola, we need to find the x-coordinate of the vertex. For a quadratic equation in the form y = ax^2 + bx + c, the x-coordinate of the vertex can be found using the formula x = -b/2a.

In the given equation, y = 2x^2 - 24x + 86, the coefficients are a = 2 and b = -24. Plugging these values into the formula, we get x = -(-24)/(2*2) = 6. Therefore, the equation of the axis of symmetry is x = 6.