Curriculum placement
Algebra 1. This describes the skill, not a learner estimate.
Graphs of quadratic functions
Relate zeros vertex symmetry and intercepts to quadratic forms
Problem types
- Choose the form that shows a feature
- Write a quadratic from its zeros, vertex or points
- Graph a parabola by placing points
- The vertex of a parabola
- The axis of symmetry
- Translating a parabola
- Describe a function shift
- Read the axis of symmetry and the vertex of a graphed parabola
- Choose the quadratic rule with a given axis of symmetry
Builds on
- Domain and range
- Solving quadratic equations
- Slope of a line · Earlier idea
A line is graphed from two points because its slope is constant. A parabola has no constant slope, so it is graphed from its vertex and symmetric points found by substituting.
Leads to
Related skills
- Completing the square · Shared foundations
- Composition of functions · Shared foundations
- Quadratic, rational, and exponential constraints · Shared foundations
- Piecewise and absolute-value functions · Shared foundations
- Solving radical equations · Shared foundations
Open the interactive map to explore lessons and skill connections.