Precalculus: With Limits: A Graphing Approach

Graphing is easier when you view equations as "shifts" of the parent functions. Horizontal Shifts: (Right) or Reflections: (Over x-axis) or (Over y-axis) Scaling: stretches or shrinks the graph vertically. 3. Analyze Polynomial & Rational Functions

If a graph looks weird, plot 3-5 specific points to anchor it. Precalculus with Limits: A Graphing Approach

Before graphing complex equations, you must recognize the "parent" functions by sight. (Diagonal line) Quadratic: (U-shaped parabola) Cubic: Absolute Value: Square Root: (Starts at origin, curves right) Reciprocal: (Hyperbola with asymptotes) 2. Understand Transformations Graphing is easier when you view equations as

Use a graphing calculator to verify your hand-drawn sketches, not replace them. not replace them.