Conic Sections Summative Assessment Quiz

Authored by Sandra Yoder

Mathematics

10th - 12th Grade

CCSS covered

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20 questions

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FILL IN THE BLANKS QUESTION

5 mins • 1 pt

A parabola is the set of all points equidistant from the focus and the (a)

FILL IN THE BLANKS QUESTION

5 mins • 1 pt

A(n) (a) is the set of all points such that the sum of the distances from the point to the foci is constant.

FILL IN THE BLANKS QUESTION

5 mins • 1 pt

A(n) (a) is the set of all points such that the difference in the distances between a point on the curve and the foci is constant.

FILL IN THE BLANKS QUESTION

5 mins • 1 pt

The focus of the parabola defined by the equation
$\left(y-2\right)^2=-8\left(x+4\right)$ is

(a)

FILL IN THE BLANKS QUESTION

5 mins • 1 pt

The equation for the directrix of the parabola defined by the equation
$\left(x+4\right)^2=-8\left(y+2\right)$

(a)

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The equation of the parabola whose focus is located at (-1,3) and whose directrix has the equation
$x=-5$ is

$\left(x-1\right)^2=16\left(y+3\right)$

$\left(x+3\right)^2=8\left(y-3\right)$

$8\left(x+3\right)^2=\left(y-3\right)$

$\left(y-3\right)^2=8\left(x+3\right)$

Tags

CCSS.HSG.GPE.A.2

FILL IN THE BLANKS QUESTION

5 mins • 1 pt

The foci of the ellipse
$\frac{x^2}{25}+\frac{\left(y-1\right)^2}{16}=1$

(a)

Tags

CCSS.HSG.GPE.A.1

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

An ellipse has vertices at
$\left(2,2\right)\$ and $\left(2,-10\right)$ . It has co-vertices at $\left(2\pm2\sqrt{5},2\right)$ . Where are its foci located?

$\left(-2,2\right),\ \left(6,2\right)$

$\left(2,6\right),\left(2,-14\right)$

$\left(2,-4\right)$

$\left(2,-2\right),\ \left(2,6\right)$

Tags

CCSS.HSG.GPE.A.1

FILL IN THE BLANKS QUESTION

5 mins • 1 pt

$y^2+2y-8x-23=0$ is a parabola whose focus is located at (a)

10.

FILL IN THE BLANKS QUESTION

5 mins • 1 pt

$4x^2+24x+25y^2-50y-29=0$
The length of the major axis of the ellipse given by equation above is

(a)

Tags

CCSS.HSG.GPE.A.1

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Conic Sections Summative Assessment

A parabola is the set of all points equidistant from the focus and the (a)

A(n) (a) is the set of all points such that the sum of the distances from the point to the foci is constant.

A(n) (a) is the set of all points such that the difference in the distances between a point on the curve and the foci is constant.

The focus of the parabola defined by the equation (y−2)2=−8(x+4)\left(y-2\right)^2=-8\left(x+4\right)(y−2)2=−8(x+4) is (a)

The equation for the directrix of the parabola defined by the equation (x+4)2=−8(y+2)\left(x+4\right)^2=-8\left(y+2\right)(x+4)2=−8(y+2) (a)

The equation of the parabola whose focus is located at (-1,3) and whose directrix has the equation x=−5x=-5x=−5 is

The foci of the ellipse x225+(y−1)216=1\frac{x^2}{25}+\frac{\left(y-1\right)^2}{16}=125x2​+16(y−1)2​=1 (a)

An ellipse has vertices at (2,2) \left(2,2\right)\ (2,2) and (2,−10)\left(2,-10\right)(2,−10) . It has co-vertices at (2±25,2)\left(2\pm2\sqrt{5},2\right)(2±25​,2) . Where are its foci located?

y2+2y−8x−23=0y^2+2y-8x-23=0y2+2y−8x−23=0 is a parabola whose focus is located at (a)

4x2+24x+25y2−50y−29=04x^2+24x+25y^2-50y-29=04x2+24x+25y2−50y−29=0 The length of the major axis of the ellipse given by equation above is (a)

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The focus of the parabola defined by the equation
$\left(y-2\right)^2=-8\left(x+4\right)$ is

(a)

The equation for the directrix of the parabola defined by the equation
$\left(x+4\right)^2=-8\left(y+2\right)$

(a)

The equation of the parabola whose focus is located at (-1,3) and whose directrix has the equation
$x=-5$ is

The foci of the ellipse
$\frac{x^2}{25}+\frac{\left(y-1\right)^2}{16}=1$

(a)

An ellipse has vertices at
$\left(2,2\right)\$ and $\left(2,-10\right)$ . It has co-vertices at $\left(2\pm2\sqrt{5},2\right)$ . Where are its foci located?

$y^2+2y-8x-23=0$ is a parabola whose focus is located at (a)

$4x^2+24x+25y^2-50y-29=0$
The length of the major axis of the ellipse given by equation above is

(a)