Locus Vertex Focus

a pair of special points used in describing conic sections. A circle and a parabola have one focus; an ellipse and a hyperbola have two foci.

• Foci

• Directrix

• Eccentricity

• Vertex of a conic section

Tags

CCSS.HSG.GPE.A.1

the locus of all points in the plane such that the absolute value of the difference of the distances from two given points in the plane, called foci, is constant

• Circle

• Ellipse

• Parabola

• Hyperbola

Tags

CCSS.7.G.A.3

What is the equation of a parabola with vertex (3, 4) and focus (7, 4)?

• 16(x - 3) = (y - 4)²

• 28(x - 3) = (y - 4)²

• -28(x - 3) = (y - 4)²

• -16(x - 3) = (y - 4)²

Find the equation of the parabola with vertex (4,6) and focus (4,9).

• (x-4)² = 12(y - 6)

• (x-4)² = 3(y - 6)

• (y-6)² = 3(x-4)

• (y-6)² = 12(x-4)

The focus is at (2,0) and the vertex is at (-4,0).  What is the equation of the parabola?

• y² = 24(x+4)

• (y+4)² = -12x

• x² = 16(y+4)

• (x+4)²  = -20y

A hyperbola has vertices (±5, 0) and one focus at (6, 0). What is the equation of the hyperbola in standard form?

• x²/25 + y²/11 = 1

• x²/5 - y²/11 = 1

• x²/11- y²/25 = 1

• x²/25 - y²/11= 1

Find the equation of the parabola with vertex (5,1) and Focus (2,1).

• Vertical Hyperbola
• Vertical Ellipse
• Horizontal Hyperbola
• Horizontal Ellipse

A ​ (a)   is set of all points in a plane which are an equal distance away from a given point called the ​ (b)   and given line called the ​ (c)  

• parabola

• focus

• directrix

• hyperbola

• ellipse

• vertex

• circle

• locus