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complete the folllowing attachmeent
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1. Consider (x + 2)2 + (y − 3)2 = 4,
(a) (2 points) Find its center.
(a)
(b) (2 points) Find its radius.
(b)
(c) (3 points) Graph.
y
x
2. (2 points) What is the equation of a circle with radius 1 and centered at the
origin?
2.
Page 1 of 4
Study Guide 3
Total Points: 50
3. Consider x2 + (y + 3)2 − 6 = 3,
(a) (3 points) Find its center and radius.
(a)
(b) (3 points) Graph.
y
4. Consider the graph below,
y
x
(a) (3 points) Find its center and radius.
(a)
(b) (3 points) Find its equation in (x − h)2 + (y − k)2 = r2 form.
(b)
Page 2 of 4
Study Guide 3
Total Points: 50
5. Consider the point A(−4, 3),
(a) (4 points) Draw and find the equation of a circle with center at point A(−4, 3)
and tangent to the x−axis.
y
x
(a)
(b) (4 points) Draw and find the equation of a circle with center at point A(−4, 3)
and tangent to the y−axis.
y
x
(b)
6. Consider y = 2x + 8,
(a) (2 points) Find all its y−intercept.
(a)
(b) (2 points) Find all its x−intercept.
(b)
Page 3 of 4
Study Guide 3
Total Points: 50
7. Consider y = x3 − 10×2 + 25x,
(a) (2 points) Find all its y−intercept.
(a)
(b) (4 points) Find all its x−intercept.
(b)
8. Consider y = |2x + 3| − 7,
(a) (2 points) Find all its y−intercept.
(a)
(b) (4 points) Find all its x−intercept.
(b)
9. Algebra Review Problems:
(a) (2 points) Simplify:
x2 − 2x − 24
x2 − 36
x2 + 2x − 3
x2 + 4x + 3
(b) (3 points) Simplify:
x2 − 1
÷
(a)
x2 − 2x + 1
(b)
Page 4 of 4
Study Guide 3
Total Points: 50
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