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squenshl
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The parabola y = x2 is rotated anti-clockwise about the origin through the angle 30o. What is the new equation of the new curve (relative to the standard basis)?
A parabola is a type of mathematical curve that is shaped like an arch. It is a symmetrical curve that can be formed by the intersection of a cone and a plane.
Rotating a parabola means changing its position on a plane by turning it around a fixed point, known as the origin. This changes the orientation of the parabola without altering its shape.
Clockwise rotation is when an object is turned in the direction that clock hands move, from left to right. Anti-clockwise rotation is the opposite direction, from right to left.
The rotation angle of 30 degrees specifies how much the parabola will be turned in a specific direction. It is an arbitrary value chosen for this example, but any angle can be used to rotate a parabola.
The origin for a parabola is the point (0,0) on a coordinate plane where the x and y axes intersect. When rotating a parabola, the origin is the point that remains fixed while the rest of the parabola is turned around it.