Algebra 2 Exam Review

The axis of symmetry is given by the formula $$x = -\frac{b}{2a}$$ . For this function, it is $$x=2$$ .

The solution is $$x = 8 ± 2i\sqrt{3}$$ .

The standard form is $$y=-x^2+4x-9$$ .

The factored form is $$(x + 20)(x - 3)$$ .

It has a maximum because the coefficient of the leading term is negative.

The standard form is $$y = ax^2 + bx + c$$ where a, b, and c are constants.

The vertex can be found using the formula $$x = -\frac{b}{2a}$$ and then substituting x back into the function to find y.

The discriminant $$D = b^2 - 4ac$$ indicates the nature of the roots: if D > 0, two real roots; D = 0, one real root; D < 0, no real roots.

The vertex form is $$y = a(x-h)^2 + k$$ where (h, k) is the vertex of the parabola.

If the coefficient a in $$y = ax^2 + bx + c$$ is positive, it opens upwards; if negative, it opens downwards.