Algebra 2 Chapter 12 section 1-3 Review
Section 1 Review
Q1. The delivery area of a furniture store
extends to the locations (-7,12)and (5,-4)
Write an equation for the delivery area of the store if a line between the locations represents a diameter of the delivery area.
Answer
(𝑥+1 )2+ (𝑦−4 )2=100
Q2.
Graph each equation on a graphing calculator. Identify and describe the conic section
A) B) 1 C) D)
Answer A. Circle with center(0,0) radius 9 B. Hyperbola with center (0,0) C. Parabola D. Ellipse
Q3. Find the center and the radius of a circle
that has a diameter with the given endpoints
A)(-9,-3)and(15,-3) B)(-4,1)and(20,-6)
Answer A. Center(3,-3) r=12 B. Center(8,-2.5) r=12.5
Section 2 Review
Q4 Find the center and the radius of each
circle. A) B)
Answer A. Center (6, 0) r=19 B. Center (4,-6) r=3
Q5. Write the equation of each circle A) center(8,-7) and radius r =14 B)center(3,6) and containing the point
(7,-2) C)diameter with endpoints (2,5) and (8,-
11)
Answer A. B. C.
Q5 Write an equation of the line that is
tangent to the given circle at the given point
A) B)
Answer A. B.y=4
Section3 Review
Q6 Find the center , vertices, co-vertices
and foci of each ellipse. A) B) C)
Answer A. Center(0,0); vertices (0,+-6); Covertices(+_3,0); foci (0,3 B . Center(0,0); co-vertices (0,+-5); vertices(+_8,0); foci ( C. Center(3,-2); vertices (3,6)and (3,-
10); Covertices(10,-2)and (-4,-2); foci (3,-2+
Q7 Find the equation of each ellipse A) co-vertices at (12,0) and (-12,0) and
major axis at length 30. B) vertices at (-8,3) and (4,3)and foci at
(-5,3) and (1,3) C) center (3,5) and , vertex (-10, 5 ) and
focus(8,5).
Answer A. B.
Q8 Find the constant sum for an ellipse with
foci F1(0,-8)and F2 (0,8)and the point on the ellipse (0,10)
Answer 20
Q9 Find the major axis of the equation
Answer 20
Section 4 and section 5 Do problems 27-40 in your book page
874
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