Drag to Sort
Look at the x² and y² coefficients to identify the conic section.
All sorted!
{{ bin.label }}
Tap to Group
Let's prepare to complete the square.
{{ step2.phase === 0 ? 'Tap all the x terms' : (step2.phase === 1 ? 'Tap all the y terms' : (step2.phase === 2 ? 'Tap the constant term' : 'Perfect!')) }}
Grouped
(
)
+
(
)
=
Drag to Balance
Add inside the parentheses. Don't forget to multiply by the coefficient when adding to the right side!
{{ num.val }}
4
(
{{ step3.b1 || '' }}
)
+
9
(
{{ step3.b2 || '' }}
)
=
11
+
{{ step3.b3 || '' }}
+
4 × ?
{{ step3.b4 || '' }}
9 × ?
Match the Graph
Standard Form:
Matched!
Center X
{{ step4.h }}
Center Y
{{ step4.k }}
X Radius
{{ step4.a }}
Y Radius
{{ step4.b }}
Current:
🏆
Master of Conics!
You successfully identified, grouped, balanced, and graphed the conic section.
The Journey:
1.
2.
3.
4.
2.
3.
4.