Warm-up . What do we need to keep the same? What do we need to change?
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Transcript of Warm-up . What do we need to keep the same? What do we need to change?
Warm-up
What do we need to keep the same?
What do we need to change?
Chapter 8Conic Sections
“Circles”
What do you need to graph a circle? Center (h, k) Radius = r Standard form of a circle:
(x - h)2 + (y - k)2 = r2
Examples Ex: x2 + y2 = 25
Center (0, 0) Radius = 5
Ex: (x-2)2 + (y+4)2 = 49 Center (2, -4) Radius = 7
State the center and the radius for each: (x + 4)2 + (y - 6)2 = 36
(x + 1)2 + (y - 3)2 = 49
(x + 3)2 + (y + 90)2 = 50
(x + 37)2 + (y - 12)2 = 50
State the center and the radius x2 + 2x + 1 + y2 = 4
x2 + y2 – 4y – 16 = 0
x2 – 4x + 5 + y2 + 2y = 25
Graphing Circles x2 + y2 = 25
(x-2)2 + (y+4)2 = 49
Now you graph these on your own! (x - 3)2 + (y - 1)2 = 9 (x - 5)2 + (y - 4)2 = 16
Graph on your own… (x - 1)2 + (y - 5)2 = 25 (x + 2)2 + (y - 7)2 = 36
Keep going! (x + 7)2 + (y + 5)2 = 49 (x + 8)2 + (y + 10)2 = 50
Write the equation of the circle Center (-4, 3) radius = 4
Center (5, -2) radius = 8
Center (-2, 3) radius = 3
Write the equation of the circle For the translation of x2 + y2 = 9 four units left and three units up.
For the translation of x2 + y2 = 1 five units left and three units down.
For the translation of x2 + y2 = 4 two units right and seven units up.
Homework! Worksheet