Identify The Transformation(s)
Transformation Equation
Circles
Solving Systems with 2 variables
Solving systems with 3 variables
100
f(x)=(x+2) - 2
Shift 2 units left
2 units down
100
What is the equation for an absolute value parent function with a vertical shift up 4?
f(x)=|x|+4
100
The radius of the circle with the given equation:
(x-5)2+(y+8)2 = 9
3
100
5x+7y=-2; 2x-7y=9
(1,-1)
100
-x + y + z = 6
x - 2y + 3z = 5
-2x + y - 2z = -1
x = -2
y = 1
z = 3
(-2, 1, 3)
200
f(x)=(x-2) +1
Shifting 2 units right and one unit up
200
What is the equation for a parent quadratic function with a Horizontal shift left 2?
f(x)=(x+2)2
200
The center of the circle with the given equation:
(x-5)2+(y+8)2 = 9
(5,-8)
200
2x+4y=-4; x-2y=10
(4,-3)
200
Solve this system.
x+y-3z=8
y-3z=5
z=-1
x=3
y=2
z=-1
(3, 2, -1)
300
f(x)=(2x)^2
Horizontal Compression of
1/2
300
What is the equation for a parent cubic function with horizontal shift right 4 and a reflection across the x-axis?
f(x)=-(x-4)3
300
The standard form of the equation of the circle with the given center and radius:
Center:(7,3) radius = 12
(x-7)2+(y-3)2 =144
300
3x-8y=0; -2x+5y=-2
(16,6)
300
x=-1
y=-7
z=2
(-1, -7, 2)
400
f(x)=-2(x+2)2-4
Reflecting across x axis,
Vertical stretch of 2,
Shifting left 2 units
4 units down
400
What is equation for an absolute value parent function that reflects across x-axis, horizontal compression of 1/4, shifts right 5 and down 6
f(x) = -|4x - 5| - 6
400
(x+4)2+(y-4)2=25
400
4x+6y=8; 2x+3y=3
No solution
400
x - 3y + 6z = 21
3x + 2y - 5z = -30
2x - 5y + 2z = -6
x = -3
y = 2
z = 5
(-3, 2, 5)
500
f(x)=3(1/3x +1)^3
Horizontal stretch of 3
Vertical Stretch of 3
Shift 1 unit left
500
What is the equation for a square root parent function with a vertical compression of 1/3, horizontal stretch of 2, shift left 1 and down 4?
f(x)=1/3(sqrt(1/2x+1))-4
500
Is (2, 3) on the circle (x-1)2+ (y+4)2 =9?
NO
500
2x-5y=3; -4x+10y=-6
Infinitely many solutions
500
2x - y + 2z = 6
-x + y + z = 0
-x - 3z = -6
Infinitely Many Solutions