◇ Problem preview
G-GPE.3.1
Warmup
M3-038-A03-V02
Complete the square for general quadratic conic equations; identify and graph circles, ellipses, parabolas, or hyperbolas.
Complete squares and extract ellipse axes
Problem
Normalize \(9x^2~+~4y^2~=~36\). Give the ellipse's standard form, center, semiaxis lengths, major-axis orientation, and major and minor axis lengths.
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Four variants of this problem type
Curriculum context
- Standard
- G-GPE.3.1
- Category
- Geometry
- Domain
- Expressing Geometric Properties with Equations
- Objective
- Complete the square for general quadratic conic equations; identify and graph circles, ellipses, parabolas, or hyperbolas.
- Problem type
- Complete squares and extract ellipse axes