Shift Happens
Describe the transformation of the following:
f(x)=x2+6
Up 6
Write the equation of a parabola with:
Focus (0,3) , Directrix: y=-3
y=1/12 x2
Find the Vertex of the following function:
f(x)=(x-2)2+5
(2,5)
Vertex Form of a Quadratic
f(x)=a(x-h)2+k
Write an equation with vertex (2, 3) that passes through the point (3, 6)
y=3(x-2)2+3
Describe the transformation of the following:
g(x)=(x-3)2
Right 3
Write the equation of a parabola with:
Vertex: (0,0) Focus: (-2,0)
x=-1/8 y2
Find the Vertex of the following function:
g(x)=(x+4)2-1
(-4,-1)
Standard Form of a Quadratic
f(x)=ax2+bx+c
Write an equation that passes through:
(-1, 2), (0, 1), (2, 5)
y=x2-x+1
Describe the transformation of the following:
h(x)=(x-2)2+4
Right 2, Up 4
DAILY DOUBLE
y=1/20 x2
Find the Vertex of the following function:
f(x)=x2-6x+5
(3,-4)
Intercept Form of a Quadratic
f(x)=a(x-p)(x-q)
Write an equation of the parabola that passes through:
(-1, 8), (0, 2), (2, 14)
y=2x2+4x+2
Describe the transformation of the following:
f(x)=(x+1)2-7
Left 1, Down 7
Write the equation of a parabola with:
Vertex: (1,2) , Focus: (1,6)
y=1/16(x-1)2+2
Find the Vertex of the following function:
h(x)=2x2+8x+1
(-2,-7)
DAILY DOUBLE
x=-b/2a
Write an equation with x-intercepts 2 and -4 that passes through (0, 8)
y=-1(x-2)(x+4)
Describe ALL of the transformations of the following:
f(x)=-(x+8)2+1
Left 8, Up 1, Reflection over the x-axis
Write the equation of a parabola with:
Vertex: (-2,3) , Focus: (4,3)
x=1/24(y-3)2-2
Find the Vertex of the following function:
y=-x2+4x+2
(2,6)
Formula for a Horizontal Parabola (x=) in Focus/Directrix Form
Write an equation of the parabola that passes through (-2, 3) and has x-intercepts -5 and 1
y=-1/3(x+5)(x-1)