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42 Cards in this Set

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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
ax2-by2=k, by2-ax2=k (a can = b)
hyperbola
Inverse variation (i.e. in the form xy=k)
equilateral hyperbola
reflect over x-axis
(x,-y)
Reflect over y-axis
(-x, y)
Reflect over y=x
(y,x)
Reflect over y=-x
(-y,-x)
Reflect over x=a
(2a-x, y)
Reflect over y=b
(x, 2b-y)
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 x-axis
y=f(-x)
reflect over the y-axis
y=If(x)I (absolute value of
f(x))
reflect pieces below the x-axis to above
y=f(IxI)
Duplicate right to left (erase left side of graph, and then reflect right side over the y-axis)
y=f(x-h)
Translate right h units (h>0)
Translate left h units (h<0)
y-k=f(x)
Translate up k units (k>0)
translate down k units (k<0)
y=c*f(x)
A vertical stretch-multiply y-coordinates only by c (c>1)

A vertical shrink-multiply y-coordinates only by c (0<c<1)
y=f(c*x)
A horizontal shrink-multiply x-coordinates only by 1/c (c>1)

A horizontal stretch-multiply x-coordinates only by 1/c (0<c<1)
b2-4ac<0
2 conjugate, imaginary roots
b2-4ac=0
2 rational, equal roots (double-root)
b2-4ac>0
2 real, unequal roots
b2-4ac is a perfect square
rational roots
b2-4ac 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