Formulas
Formulas (Cont.)
Vertex & A.O.S
Transformation
Equations
100
What is the Standard Form of a Quadratic Function?
What is y= ax^2+bx+c
100
Vertical Translation
y=f(x) + k
100
f(x) = (x-3)^2
V(3,0) A.O.S. x=3
100
What Happened?? f(x) = x^2 -3
It went down three. Vertical Translation Down 3.
100
Find the Equation of the parabola. Vertex= (3,2) Point=(13,8)
y= 0.06 (x-3)^2 +2
200
What is the Vertex Form of a Quadratic Equation?
What is y= a(x-h)^2+k
200
Reflection in the x-axis
y=-f(x)
200
f(x) = (x+4)^2
V(-4,0) A.O.S. x=-4
200
What Happened?? f(x) = (x+2)^2
Went to the left 2 Horizontal Translation to the left 2
200
Find the Equation of the parabola. Vertex= (-5,9) Point=(-7,-15)
y= -6 (x+5)^2 +9
300
Intercept Form
y= a (x-p)(x-q)
300
Reflection in the y-axis
y= f (-x)
300
f(x) = (x+3)^2 + 5
V (-3, 5) A.O.S. x=-3
300
What Happened?? f(x) = (x-9)^2 + 5
Went to the right 9 AND up 5
300
Find the Equation of the parabola. Vertex= (-6,12) Point=(0,-24)
y=(-1/3) (x+6)^2 -12
400
Horizonal Translation
y=f(x-h)
400
Horizontal Stretch/Shrink
y= f(ax)
400
y = -4(x-2)^2 + 4
V(2,4) A.O.S. x=2
400
What Happened?? f(x) = -4(x+2)^2 +1
Went to the left 2, up 1, a Reflection.
400
Find the Equation of the parabola. x-intercepts- 12,-6 point= (14,4)
y=(1/10) (x-12)(x+6)
500
Vertical Stretch/ Shrink
y= a * f(x)
500
If you are using Standard Form, what is the formula for the Axis of Symmetry?
x= -b/2a
500
f(x) = 2(x+9) -4
V(-9, -4) A.O.S. x=-9
500
What Happened?? f(x) = (x-7)^2 + 1
Went to the right 7 AND up 1
500
Find the Equation of the parabola. x-intercepts 9,1 point= (0,-18)
y=-2(x-9)(x-1)
M
e
n
u