InkLoop/NYS Standards/NY-G.GPE.2

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NY-G.GPE.2

GeometryGeometric Properties with Equations60 target questions

Derive the equation of a parabola given a focus and directrix.

Sample Practice Questions (3)

1

Based on the provided diagram of a parabola with vertex

(0, 1)

and focus

(0, 2)

, which equation represents the parabola?

A

y = \frac{1}{4} x^{2} + 1

B

y = 4 x^{2} + 1

C

y = \frac{1}{4} x^{2} - 1

D

x = \frac{1}{4} y^{2} + 1

Multiple choice · diagramSee Answer + Explanation →

2

Which equation represents a parabola with a focus of

(0, 4)

and a directrix of

y = - 4

?

A

y = \frac{1}{16} x^{2}

B

y = 16 x^{2}

C

x = \frac{1}{16} y^{2}

D

y = - \frac{1}{16} x^{2}

Multiple choice · diagramSee Answer + Explanation →

3

Which equation represents a parabola with a focus of

(0, 3)

and a directrix of

y = - 3

?

A

y = \frac{1}{12} x^{2}

B

y = 12 x^{2}

C

y = \frac{1}{6} x^{2}

D

x = \frac{1}{12} y^{2}

Multiple choice · diagramSee Answer + Explanation →

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More Geometry Standards

NY-G.CO.1Know precise definitions of angle circle perpendicular line parallel line and line segment based on the undefined notions of point line distance along a line and distance around a circular arc.→NY-G.CO.2Represent transformations in the plane; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not.→NY-G.CO.3Given a rectangle parallelogram trapezoid or regular polygon describe the rotations and reflections that carry it onto itself.→NY-G.CO.4Develop definitions of rotations reflections and translations in terms of angles circles perpendicular lines parallel lines and line segments.→

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