Algebra 2 Checkpoint 2 Review

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

The product of the solutions of a quadratic equation $$ax^2 + bx + c = 0$$ can be found using the formula $$\frac{c}{a}$$ .

A reflection across the x-axis means that for every point (x, y) on the graph, the point (x, -y) will also be on the graph.

The absolute value function is defined as $$f(x) = |x|$$ , which outputs the non-negative value of x.

The domain of a quadratic function is all real numbers, represented as $$(-\text{∞}, \text{∞})$$ .

The range of a downward-opening quadratic function is from the vertex's y-coordinate to negative infinity, represented as $$(-\text{∞}, k]$$ where k is the y-coordinate of the vertex.

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

To write an absolute value function with transformations, identify the shifts and reflections, then use the form $$y = a|x-h| + k$$ , where (h, k) represents the shifts.

The focus is a point inside the parabola that determines its shape, while the vertex is the highest or lowest point on the graph.

The equation of a parabola can be found using the formula $$(y-k)^2 = 4p(x-h)$$ , where (h, k) is the vertex and p is the distance from the vertex to the focus.