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5 cards from this section. Quick, good the night before a test.
What is the center of the circle represented by the equation (x-2)² + (y+3)² = 16?
Identify the coordinates from the standard circle equation.
Identify if the point (1, 1) lies on the circle with the equation (x-1)² + (y-1)² = 4.
Substitute the point into the equation.
What shape is formed when a plane cuts a cone parallel to its axis?
Think about the angle of intersection with the cone.
Is the definition of an ellipse being the set of points where the sum of the distances to two foci is constant true?
Remember what distinguishes an ellipse from other conics.
A spotlight is aimed at an angle in such a way that it creates a parabolic shape on a wall. If the focus is 3 units above the vertex at the origin, write the equation of the parabola.
Relate the focus to the value of 'p' in the standard parabolic equation.
Find the length of the major axis for an ellipse represented by the equation x²/100 + y²/36 = 1.
Identify 'a' from the standard equation of the ellipse.
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