Alg2 Exam Review U1-5 (2024-25)

The graph of a function is shifted 2 units to the right and 2 units up in the coordinate plane.

The quadratic formula is $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ , used to find the solutions of a quadratic equation of the form $$ax^2 + bx + c = 0$$ .

You can find solutions by graphing, substitution, or elimination methods to determine where the equations intersect.

The factored form of a quadratic expression is written as $$(ax + b)(cx + d)$$ , where the product equals the original quadratic.

Data is skewed left when the mean and median are less than the mode, indicating a longer tail on the left side of the distribution.

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

Substitute a = 1, b = -1, c = -3 into the quadratic formula to get $$x = \frac{1 \pm \sqrt{13}}{2}$$ .

The discriminant, given by $$b^2 - 4ac$$ , determines the nature of the roots: if positive, two real roots; if zero, one real root; if negative, no real roots.

Factoring an expression involves rewriting it as a product of its factors, simplifying the expression.

A histogram is a graphical representation of the distribution of numerical data, showing the frequency of data points within specified ranges.