Algebra II

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AM
Chapter Ten Review
Name: _______________________________________
Period: _______________
Date: ______________
Part I – No calculator allowed
Please show all work where appropriate to receive full credit. Be aware that there will be two parts to the Chapter 10 Test –
Part I – No calculator allowed and Part II – Calculator allowed. Do this review as if it were your test – use your
calculator only on Part II.
Definitions
1) A parabola is the set of all points in a plane that are the same distance from a fixed line called _____________________
and a fixed point not on the line called the ________________________.
2) A circle is the set of points equidistant from a given point called _____________________________.
The distance r is the __________________ of the circle.
3) An ellipse is the set of points such that the ___________ of the distances from a point on the curve to two fixed points,
called __________________, is __________________.
4) A hyperbola is the set of points such that the __________ of the distances from a point on the curve
to two fixed points, called __________________, is __________________.
-------------------------------------------------------------------------------------------------------------------------------------------------------------------5) Explain how you can tell whether a parabola opens upward, downward, to the left, or to the right.
6) Identify the center and intercepts of each conic section. Give the domain and range.
a)
Conic section: (Circle one)
Parabola
Circle
Center:
x-intercepts:
y-intercepts:
Domain:
Range:
Ellipse
Hyperbola
b)
Conic section: (Circle one)
Parabola
Circle
Ellipse
Hyperbola
Ellipse
Hyperbola
Ellipse
Hyperbola
Center:
x-intercepts:
y-intercepts:
Domain:
Range:
c)
Conic section: (Circle one)
Parabola
Circle
Center:
x-intercepts:
y-intercepts:
Domain:
Range:
d)
Conic section: (Circle one)
Parabola
Circle
Center:
x-intercepts:
y-intercepts:
Domain:
Range:
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