What kind of curve is this?

Taking an equation for a cardioid (heart-shaped curve), which can be expressed as (x^2+y^2-1)^3 = (x^2 y^3)... if I change the output to absolute value of (x^2 y^3), is the curve still a cardioid? If not, what kind of curve is it and why?

The original equation is not the only equation for a heart curve

Question

What kind of curve is this?

Taking an equation for a cardioid (heart-shaped curve), which can be expressed as (x^2+y^2-1)^3 = (x^2 y^3)... if I change the output to absolute value of (x^2 y^3), is the curve still a cardioid?  If not, what kind of curve is it and why?

The original equation is not the only equation for a heart curve

anonymous · Answer

attachment

anonymous · Answer

@Mertsj

anonymous · Answer

The shape has the points of a circle (in the four cardinal directions) but has semi-circles in between the four points.

loser66 · Answer

I don't know this stuff. I am sorry

anonymous · Answer

Looking at the def. of a cardioid, it looks like it would be a point traced along the perimeter of four fixed circles.

mertsj · Answer

If you make it the absolute value, it has the effect of reflecting every point that was below the x axis to a corresponding point above the x axis.
That's why y=x is a line and y=|x| is a V