Question

"What is the axis of symmetry for g(n) = -2n^2 – 8n + 2?"

a) x = -0.5

b) x = 2

c) x = -4

d) x = -2

Answer 1

The axis of symmetry for g(n) = -2n^2 – 8n + 2 is x = 2.

Step-by-step explanation:

The axis of symmetry of a quadratic function is the line that divides the parabola into two equal halves. The equation for the axis of symmetry is given by x = -b / (2a), where a and b are the coefficients of the quadratic equation in the form ax^2 + bx + c.

In the given equation g(n) = -2n^2 – 8n + 2, the coefficient of n^2 is a = -2 and the coefficient of n is b = -8. Plugging these values into the formula for the axis of symmetry, we get x = -(-8) / (2(-2)) = 2. Therefore, the axis of symmetry for g(n) is x = 2.