Graphic Organizer Information
Solving Equations
Write the Center, Domain, &Range
Completing the Square
100
what are the distance and midpoint formulas
distance = root(x2-x1)^2 + (y2-y1)^2 midpoint = (x1+x2/2, y1+y2/2)
100
find the center and the radius of x^2 + (y-10)^2 = 144/64
What is c=(0,10) and r=3/2
100
find the center, domain, and range of (x+3)^2 +(y-3)^2 = 36
What is c= (-3,3) domain=[-9,3] range=[-3,9]
100
solve x^2 - 2x - 1 by completing the square
What is x= 1 + square root 2 and x= 1 - square root 2
200
what is the general equation of circles
What is (x-h)^2 + (y-k)^2 =r^2
200
find the center and radius of 3(x-6)^2 = 75-3y^2
What is c=(6,0) and r=5
200
find the center, domain, and range of x^2 + y^2 = 21
What is c= (0,0) domain= [-root 21, root 21] range= [ -root 21, root 21]
200
solve 5x^2 - 6x = 8 by completing the square
What is x= 2 and x= -4/5
300
what are the domain and range formulas
What is domain= (h-r, h+r) and range= (k-r, k+r)
300
Write the equation of a circle that has c=(-3,-3) and r=square root of 2
What is (x+3)^2 + (y+3)^2 = 2
300
find the center, domain, and range of (x-4)^2 + y^2 = 49
What is c= (4,0) domain= [-3, 11] range= [-7, 7]
300
solve 4x^2 - 2x - 5 by completing the square
What is x= 1/4 - square root 21/4 and x= 1/4 + square root 21/4
400
what are these steps referring to 1) write equation in general form 2) find (h,k) and determine the radius 3) plot (h,k) and count radius horizontally and vertically 4) sketch the circle connecting points
What is the 4 steps for graphing circles
400
find the center and radius of x^2 + y^2 - 14x + 16y + 81=0
What is c=(7,-8) and r=4 root 2
400
find the center, domain, and range of (x-5)^2 + (y+2)^2 = 10
What is c=(5,-2) domain=[5-root 10, 5+root 10] range= [-2 -root 10, -2 +root 10]
400
solve x^2 + 6x - 7 by completing the square
What is x= -7 and x=1
500
what are these steps referring to 1) Solve for x or y in linear equation. 2) Substitute the expression into circle equation. 3) Square the binomial, simplify, & set = 0. 4) Solve by factoring. 5) Substitute answer into linear equation to find other variable. 6) Test values in circle equation.
What are the 6 steps for solving a system
500
find the points of intersection of x^2 + y^2 = 169 and y = 5x - 13
What is (0,-13) and (5,12)
500
find the center, domain, and range of (x+2)^2 + (y+1)^2 = 25
What is c=(-2,-1) domain=[-7,3] range=[-6,4]
500
solve x^2 - 5x - 5 by completing the square
What is x= 5/2 + 3/2 square root 5
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