Back to Basics
Y = mx + b
Which letter stands for slope?
M
x+12=32
x+12=32
-12 -12
x=20
Write the Equation if your slope is 12 and your y-intercept is 24
Y = 12x +24
If the Parent function is y=x describe the transformation
F(x)= (x-3)+6
moved right 3 and up 6
Given the equation Y=3x+12
What is the slope?
3
Y = mx + b
Which letter stands for y- intercept?
B
3x2 =12
3x2 =12
/3 /3
x2= 4
x=2
Write the Equation if your slope is 24 and your y-intercept is -36
y = 24x -36
If the Parent function is y=x describe the transformation
F(x)= 12(x+4)-62
Steeper by 12
left 4
down 62
Given the equation Y=4x+6
What is the Y-intercept?
6
F(x) = a(x-h) +k
What letter stands for moving left or right?
H
2x +7 = 6x+ 12
2x +7 = 6x+ 12
2x = 6x +5
-4x = 5
x = -5/4
Write your equation if you are given the point (2,4) and (1,2)
M= y2-y1/x2-x1
M = 4-2/2-1 M= 2/1 M =2
Y = 2x + B 2= 2(1) +B B = 0
Y=2x+0 or Y=2x
If the Parent function is y=x2 describe the transformation
F(x)= 4(x-2)2-24
Dilated by 4
right 2
down 24
Given the equation: F(x)= 4(x-2)2-24
What direction is it facing?
Up
F(x) = a(x-h) +k
What letter tells us if we move up or down?
K
4 = -x + 42 +5
4 = -x + 42 +5
4= -x +16+5
4= -x + 21
x =17
Write your equation if you are given the point (6,-3) and (4,-1)
M= y2-y1/x2-x1
M = -3+1/6-4 M= -2/2 M =-1
Y = -x + B -1= -4 +B B = 3
Y=-x+3
If the Parent function is y=x2 describe the transformation
F(x)= -12(x+3)2-24
Flipped
dilated by 12
left 3
down 24
Given the equation: y=x2-2x-8
and AOS = -b/2a
What is the Axis of Symmetry?
x=1
F(x) = a(x-h) +k
What would tell us if the transformation was flipped?
If A was negative.
-12 = -x2 - 8
-12 = -x2 - 8
-4 = -x2
x2 = 4
x= 2
Write the equation given the parent function is Y=x2
and the equation is changed:
Flipped, dilated by 5/2, moved left by 12 and down by 32
F(x)= -5/2(x+12)-32
If the Parent function is y=-x2 describe the transformation
F(x)= 32(x-9)2+24
Flipped
Dilated by 32
right 9
up 24
Given the equation:
F(x)= -12(x+3)2-24
What is the vertex?
(-3,-24)