Chapter 6 Pre Test

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Chapter 6 Pre Test

The given points represent the vertices of a triangle.Select the triangle ABC in the coordinate plane.

a.		d.
b.		e.
c.

Find the vertex, focus, and directrix of the parabola.

a.	Vertex: ; Focus: ; Directrix:
b.	Vertex: ; Focus: ; Directrix:
c.	Vertex: ; Focus: ; Directrix:
d.	Vertex: ; Focus: ; Directrix:
e.	Vertex: ; Focus: ; Directrix:

The revenue R (in dollars) generated by the sale of x units of a digital camera is given by

.
Approximate the number of sales that will maximize revenue.

a.	Maximum revenue occurs at units.
b.	Maximum revenue occurs at units.
c.	Maximum revenue occurs at units.
d.	Maximum revenue occurs at units.
e.	Maximum revenue occurs at units.

Find the center, vertices and foci of the hyperbola.

a.	Center: Vertices: Foci:,
b.	Center: Vertices: Foci: )
c.	Center: Vertices: Foci:,
d.	Center: Vertices: Foci:,
e.	Center: Vertices: Foci:,

The

-coordinate system has been rotated

degrees from the

-coordinate system. The coordinates of a point in the

-coordinate system are given. Find the coordinates of the point in the rotated coordinate system.

a.
b.
c.
d.
e.

Select the graph of the following equation, showing both sets of axes.

a.		d.
b.		e.
c.

Use the discriminant to classify the graph.

a.	The graph is a parabola.
b.	The graph is a hyperbola.
c.	The graph is a ellipse.
d.	The graph is a cone.
e.	The graph is a circle.

Select the parametric equations matching with the following graph.

a.	Serpentine curve: ,
b.	Serpentine curve: ,
c.	Serpentine curve: ,
d.	Serpentine curve: ,
e.	Serpentine curve: ,

Convert the rectangular equation to polar form. Assume

a.
b.
c.
d.
e.

10.

Convert the rectangular equation to polar form. Assume

a.
b.
c.
d.
e.

11.

Convert the rectangular equation to polar form. Assume

a.
b.
c.
d.
e.

12.

Select the graph of the polar equation using symmetry, zeros, maximum r-values, and any other additional points.

a.	Symmetric with respect to , polar axis, pole Circle with radius	d.	Symmetric with respect to , polar axis, pole Circle with radius
b.	Symmetric with respect to , polar axis, pole Circle with radius	e.	Symmetric with respect to , polar axis, pole Circle with radius
c.	Symmetric with respect to , polar axis, pole Circle with radius

13.

Select the graph of the polar equation using symmetry, zeros, maximum r-values, and any other additional points.

a.		d.
b.		e.
c.

14.

Select the graph of

over the interval. Describe the part of the graph obtained in this case.

a.	Entire circle	d.	Entire circle
b.	Entire circle	e.	Entire circle
c.	Entire circle

15.

Select the graph of the equation.

a.		d.
b.		e.
c.

16.

Select the correct graph of the polar equation. Find an interval for

for which the graph is traced only once.

a.		d.
b.		e.
c.

17.

Find a polar equation of the conic with its focus at the pole.

a.
b.
c.
d.
e.

18.

Identify the conic and select its correct graph.

a.	<1 Hyperbola	d.	Hyperbola
b.	<1 Hyperbola	e.	<1 Hyperbola
c.	<1 Hyperbola

19.

Select correct graph to graph rotated conic.

a.		d.
b.		e.
c.

20.

A satellite in a 100-mile-high circular orbit around Earth has a velocity of approximately 17,500 miles per hour. If this velocity is multiplied by

, the satellite will have the minimum velocity necessary to escape Earth’s gravity and will follow a parabolic path with the center of Earth as the focus. (Hints: The radius of Earth is 4000 miles.)

Find the distance between the surface of the Earth and the satellite when

a.	Distance between surface of Earth and satellite:110 miles
b.	Distance between surface of Earth and satellite:105 miles
c.	Distance between surface of Earth and satellite:120 miles
d.	Distance between surface of Earth and satellite:100 miles
e.	Distance between surface of Earth and satellite:102 miles