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42 Cards in this Set
 Front
 Back
If x2 or y2 is present (but NOT both)

parabola


x2+y2=k
ax2+ay2=k 
circle


ax2+by2=k or by2+ax2=k, a cannot equal b

ellipse


ax2by2=k, by2ax2=k (a can = b)

hyperbola


Inverse variation (i.e. in the form xy=k)

equilateral hyperbola


reflect over xaxis

(x,y)


Reflect over yaxis

(x, y)


Reflect over y=x

(y,x)


Reflect over y=x

(y,x)


Reflect over x=a

(2ax, y)


Reflect over y=b

(x, 2by)


Reflect through (0,0)

(x,y)


Rotate 90 degrees with respect to origin

(y,x)


Rotate 180 degrees (origin)

(x,y)


Rotate 270 degrees (origin)

(y, x)


Ta,b

(x+a, y+b)


Dilation of k (origin)

(kx, ky)


y=f(x) or y=f(x)

reflect over the xaxis


y=f(x)

reflect over the yaxis


y=If(x)I (absolute value of
f(x)) 
reflect pieces below the xaxis to above


y=f(IxI)

Duplicate right to left (erase left side of graph, and then reflect right side over the yaxis)


y=f(xh)

Translate right h units (h>0)
Translate left h units (h<0) 

yk=f(x)

Translate up k units (k>0)
translate down k units (k<0) 

y=c*f(x)

A vertical stretchmultiply ycoordinates only by c (c>1)
A vertical shrinkmultiply ycoordinates only by c (0<c<1) 

y=f(c*x)

A horizontal shrinkmultiply xcoordinates only by 1/c (c>1)
A horizontal stretchmultiply xcoordinates only by 1/c (0<c<1) 

b24ac<0

2 conjugate, imaginary roots


b24ac=0

2 rational, equal roots (doubleroot)


b24ac>0

2 real, unequal roots


b24ac is a perfect square

rational roots


b24ac is not a perfect square

irrational roots


The composite of two line reflections over parallel lines is a

translation


The composite of two intersecting line reflections is a

rotation


the composite of two line reflections over perpendicular lines is a

180 degree rotation (half turn)


The composite of two line reflections over the same line is the

identity transformation


Glide reflection

a transformation that is the composite of a line reflection and a translation whose direction is parallel to the line reflection


Isometry

a transformation that preserves distance


direct isometry

isometry that preserves orientation


opposite isometry

isometry that reverses orientation


line reflection (what type of isometry?)

opposite isometry


translation

direct isometry


rotation (isometry? what type if so?)

direct isometry


dilation (isometry?)

NOT an isometry
