Graph linear and quadratic functions

What you'll learn

1. Graph linear functions from slope-intercept, point-slope, and standard forms, labeling x-intercept and y-intercept
2. Graph quadratic functions from standard form by finding the vertex, axis of symmetry, y-intercept, and x-intercepts (when they exist)
3. Graph quadratic functions from vertex form y = a(x - h)^2 + k by identifying the vertex directly and determining the direction of opening
4. Graph quadratic functions from factored form y = a(x - r)(x - s) by reading the roots directly
5. Determine whether a quadratic has a maximum or minimum based on the sign of the leading coefficient
6. Identify and label all key features: intercepts, vertex (maximum or minimum), axis of symmetry, and direction of opening

Prerequisites

• Interpret key features of graphs