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Conic equations Practice

A circle’s standard equation and basic ellipse, hyperbola, and parabola forms.

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What you’ll practice

Read the placement of squared terms and the signs before naming the conic. A centre, vertex and focus play different roles in the standard forms.

Where this helps

Connecting conic equations with their axes, centres, and focal parameters.

Before you start

Use this topic to practice math you have already learned. The examples show the available kinds of recall tasks; this is not a complete textbook chapter. Check the answer form and any stated conditions.

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Real practice. Real progress.

Example 1 of 4

h and k are real center coordinates, r is a nonnegative real radius, and x and y use the same Euclidean coordinate units.

Choose the exact expression.

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h and k are real center coordinates, r is a nonnegative real radius, and x and y use the same Euclidean coordinate units.

Choose the exact expression.

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Enter your expression.

a and b are positive semiaxis lengths of the ellipse.

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Enter your expression.

a and b are positive semiaxis parameters and the transverse axis is horizontal.

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Enter your expression.

p is nonzero and the directrix is the line perpendicular to the axis at coordinate -p.

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Grades and courses that include this topic

Courses

Precalculus

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