Template 1
Math III · G-GPE.3.1
Complete the square for general quadratic conic equations; identify and graph circles, ellipses, parabolas, or hyperbolas.
Complete the square for general quadratic conic equations; identify and graph circles, ellipses, parabolas, or hyperbolas.
Concept
Geometry
Domain
Expressing Geometric Properties with Equations
Problem Types
Problem Templates In This Objective
13 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.
Template 2
Complete squares and report every circle parameter
Template 3
Complete squares and extract ellipse axes
Template 4
Complete squares and extract hyperbola orientation
Template 5
Complete a parabola and recover focus/directrix data
Template 6
Read a circle's center, radius, and extents
Template 7
Read every key feature of a standard ellipse
Template 8
Read hyperbola center, vertices, and both asymptotes
Template 9
Read complete parabola features from standard or vertex form
Template 10
Classify a conic and fill only its defined measurements
Template 11
Decide whether a conic equation is normal, degenerate, or has no real graph by inspecting squared terms and signs
Template 12
Identify the graph features of a conic from its standard-form equation
Template 13