Curriculum placement
Algebra 1. This describes the skill, not a learner estimate.
The minimum of an upward-opening quadratic
Find the minimum value of an upward-opening quadratic
Problem types
- Quadratic minimum
Builds on
- Graphs of quadratic functions
- Completing the square · Useful idea
Completing the square writes a quadratic in vertex form, which shows its minimum or maximum value.
Leads to
- Designs that meet geometric constraints · See it applied
The greatest or least value of a quadratic gives the best design, such as the largest fenced area.
- Quadratic, rational, and exponential constraints · See it applied
The vertex of a parabola gives the greatest or least value of a quadratic model, such as maximum height.
- End behavior of a polynomial · Extend the idea
The minimum of a parabola is a turning point, and higher degree polynomials may have several turning points.
Related skills
- Comparing functions given in different forms · Shared foundations
- Shifts, stretches, and reflections of graphs · Shared foundations
- Approximating a solution from a graph · Shared foundations
- Where a line meets a parabola · Shared foundations
- A parabola as points equally far from a focus and a line · Shared foundations
Open the interactive map to explore lessons and skill connections.