Algebra 8 – Quadratic graphs

You’ll learn

• Build a quadratic from its roots by expanding the factor form (x − r₁)(x − r₂)
• Use the shortcut x² − (sum of roots)x + (product of roots) = 0
• Scale the equation by a constant to hit a required y-intercept
• Sketch the parabola from its roots, y-intercept and leading-coefficient sign