How to graph a line in slope-intercept form.
How to graph parabolas that are wide or skinny or upside down without making a table of values.
How to use inverses to define the logarithmic function.
How to graph the inverse of a function using points.
How to interpret exponential expressions.
How to solve a logarithmic equation.
How to use the rules of exponents to simplify exponential expressions.
How to derive the quadratic formula by completing the square.
How to transform the graph of a hyperbola.
How to label the roots of a quadratic polynomial, solutions to a quadratic equation, and x-intercepts or roots of a quadratic function.
How to find the inverse of a function algebraically
How to solve a logarithmic equation by condensing one, or both, sides.
How to write equations for and graph word problems.
How to understand basic transformations of a polynomial graph.
How to use synthetic division to evaluate a function.
How to find the vertex, intercepts, domain and range of a quadratic graph.