Question 1

Find the vertex and directrix of the parabola. 
A)vertex:  directrix: 
B)vertex:  directrix: 
C)vertex:  directrix: 
D)vertex:  directrix: 
E)vertex:  directrix:

Accepted Answer

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Question 2

Find the standard form of the equation of the ellipse with vertices  and eccentricity  .
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the standard form of the equation...

Question 3

Find the equation of the parabola with vertex at (5, 4) and focus at (-3, 4).
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the equation of the parabola with...

Question 4

Give the coordinates of the circle's center and its radius. 
A)(1, 1); r = 16
B)(0, 0); r = 4
C)(1, 1); r = 4
D)(0, 0); r = 16
E)none of these

Accepted Answer

The answer of Give the coordinates of the circle's center...

Question 5

Graph the hyperbola. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the hyperbola. 
A) 
B) 
C) 
D)...

Question 6

Find the standard form of the equation of the ellipse with the given characteristics. foci:  endpoints of the major axis: 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the standard form of the equation...

Question 7

Find the equation of the parabola with vertex at (0, 0) and focus at (0, 3).
A) 
B) 
C) 
D) 
E)none of these

Accepted Answer

The answer of Find the equation of the parabola with...

Question 8

Find the equation of the hyperbola with vertices (4, 0), (-4, 0) and focus (6, 0).
A) 
B) 
C) 
D) 
E)none of these0

Accepted Answer

The answer of Find the equation of the hyperbola with...

Question 9

Find the graph of the following ellipse. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Find the graph of the following ellipse....

Question 10

Find the standard form of the equation of the hyperbola with the given characteristics. vertices:  foci: 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the standard form of the equation...

Question 11

Graph the following equation. 
A) 
B) 
C)

Accepted Answer

The answer of Graph the following equation. 
A) 
B) 
C)...

Question 12

Find the equation of the circle graphed below. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The center of the circle appears to be at (-2,3) and the radius is approximately 4. Using the standard form of the equation of a circle, we get: $(x+2)^2+(y-3)^2=16$. Simplifying this equation gives us the answer choice of C.

Question 13

Graph the hyperbola. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the hyperbola. 
A) 
B) 
C) 
D)...

Question 14

Identify the graph of the following ellipse. 
A) 
B) 
C)

Accepted Answer

The answer of Identify the graph of the following ellipse....

Question 15

Find the vertices and asymptotes of the hyperbola. 
A)vertices:  asymptote: 
B)vertices:  asymptote: 
C)vertices:  asymptote: 
D)vertices:  asymptote: 
E)vertices:  asymptote:

Accepted Answer

The answer of Find the vertices and asymptotes of the...

Question 16

Write the equation of the ellipse that has its center at the origin, focus at (2, 0) and vertex at (7, 0).
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Write the equation of the ellipse that...

Question 17

Find the center and vertices of the ellipse. 
A)center:  vertices: 
B)center:  vertices: 
C)center:  vertices: 
D)center:  vertices: 
E)center:  vertices:

Accepted Answer

The answer of Find the center and vertices of the...

Question 18

Give the coordinates of the circle's center and its radius. 
A)(-1, 8); r = 16
B)(1, -8); r = 4
C)(1, -8); r = 16
D)(-1, 8); r = 4
E)none of these

Accepted Answer

The answer of Give the coordinates of the circle's center...

Question 19

Identify the conic by writing the equation in standard form. 
A)  ; ellipse
B)  ; ellipse
C)  ; ellipse
D)  ; circle
E)  ; ellipse

Accepted Answer

The equation is in the form of an ellipse with the x and y axes having different coefficients, indicating a non-circular shape. It is also in standard form with the x and y terms squared and the constant term on the same side.

Question 20

In a suspension bridge, the shape of the suspension cables is parabolic. The bridge shown in the figure has towers that are 400 m apart, and the lowest point of the suspension cables is 100 m below the top of the towers. Find the equation of the parabolic part of the cables, placing the origin of the coordinate system at the lowest point of the cable. NOTE: This equation is used to find the length of the cable needed in the construction of the bridge. A)x² = 800y B)y² = 1,600x C)x² = 400y D)x² = 1,600y E)x² = -400y

Accepted Answer

The answer of In a suspension bridge, the shape of...

Quiz 10: Topics in Analytic Geometry

Find the vertex and directrix of the parabola.

Find the standard form of the equation of the ellipse with vertices and eccentricity .

Find the equation of the parabola with vertex at (5, 4) and focus at (-3, 4) .

Give the coordinates of the circle's center and its radius.

Graph the hyperbola.

Find the standard form of the equation of the ellipse with the given characteristics. foci: endpoints of the major axis:

Find the equation of the parabola with vertex at (0, 0) and focus at (0, 3) .

Find the equation of the hyperbola with vertices (4, 0) , (-4, 0) and focus (6, 0) .

Find the graph of the following ellipse.

Find the standard form of the equation of the hyperbola with the given characteristics. vertices: foci:

Graph the following equation.

Find the equation of the circle graphed below.

Graph the hyperbola.

Identify the graph of the following ellipse.

Find the vertices and asymptotes of the hyperbola.

Write the equation of the ellipse that has its center at the origin, focus at (2, 0) and vertex at (7, 0) .

Find the center and vertices of the ellipse.

Give the coordinates of the circle's center and its radius.

Identify the conic by writing the equation in standard form.