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Browse High School Equations, Graphs, Translations
Stars indicate particularly interesting answers or
good places to begin browsing.
Selected answers to common questions:
Asymptotes.
Direct and indirect variation.
Slope, slopeintercept, standard form.
 Line Crossing Horizontal and Vertical Asymptotes [03/16/1999]

For the function y = (5x+1)/(x^21), why does the line between its two
vertical asymptotes and one horizontal asymptote cross?
 Line Dividing a Plane [05/11/2001]

Given a square (graphed on the Cartesian coordinate system) and a point
in the square, draw a line through the point that will divide the square
into two regions: one the smallest area possible, the other the largest
possible.
 Line of Best Fit [8/1/1996]

Are a bestfit line, a line of best fit, and a fitted line synonymous?
 Lines and ttables [11/09/1996]

How do you use ttables to graph lines?
 Lines Partitioning a Plane [03/09/1998]

Into how many disjoint regions do n coplanar lines partition the plane?
 Lines Tangent to a Hyperbola [07/14/1998]

If y = 2x + k is a line tangent to the graph x^2 + y^2 = 1, what is k?
 Locus of the Midpoint of a Chord [03/13/1998]

Show that the locus of the midpoint of the chord is a hyperbola.
 Manipulating Roots [08/08/1998]

If a and b are the roots of the equation 3x^2  5x + 1 = 0, find the
equation whose roots are a/b and b/a.
 Mapping 3D Line Segments [10/06/1997]

How do I map 3D line segments onto a 2D perspective as seen from an
arbitrary point in space?
 Minimum Distance [02/07/1998]

What is the minimum possible distance between a point on the graph of
x^2+y^2 = 1 and a point on the graph of xy = 1?
 More Questions on Finding the Equation of a Circle [10/1/1995]

Find the equation of the circle containing the points (1, 2) and (6,1)
and touching the xaxis.
 Moving a Circle on a Polar Graph [05/04/2001]

How do you move a circle so the center is not (0,0), but to where the
center can be (r,[theta])?
 Multiplying or Dividing by a Negative Number [04/08/1999]

When x(x4) is less than 0...
 Naming and Graphing Functions [06/16/1997]

Can you tell me about the different families of functions?
 Nonparallel Glide Reflections [10/21/1998]

A glide reflection consists of a line reflection and a translation
parallel to the reflection. What if the translation is not parallel to
the reflection?
 Oblique Asymptote [4/13/1996]

I have a question about the oblique asymptote of the function: F( X
) = ( X^3  3X^2 + 2X  8 ) / ( X^2 + 4X + 4
)...
 Oblique Asymptotes [04/03/2002]

I'm stuck on how to calculate oblique limits, for example, x^2/(x3).
 Order of Quadrant Numbers [10/21/2002]

Why are quadrants numbered that way?
 Parabola [12/23/1997]

Find the vertex, axis of symmetry, directrix, focus, distance from the
vertex to the focus, and the latus rectum.
 Parabola Equation [5/15/1995]

I'm trying to learn equations of parabolas. The example given is: find
the equation of the parabola with vertex (0,0) and focus (0,3)...
 Parabola Equations [05/12/1997]

Deriving the standard equation for a parabola from its focus and
directrix; manipulating this equation to change the graph's appearance.
 Parabola Focal Point [7/3/1996]

What are the rules for the focal point of a parabola?
 Parabola Problems [2/23/1997]

A culvert is shaped like a parabola, 18 centimeters across the top and 12
centimeters deep. How wide is the culvert 8 centimeters from the top?
 Parabolas Through Pairs of Points [07/13/2002]

Can infinitely many parabolas pass through any two points in a plane?
 Parabola with Horizontal or Vertical Axis [05/03/2001]

How can I find the focus and directrix of a parabola whose axis is either
horizontal or vertical, like 2x^2 = y?
 Parabolic Equation of an Arch [05/25/1998]

Finding the equation of the parabola in the McDonald's golden arches.
 Parametric Equations [07/21/1998]

A curve is given parametrically by the equations: x = (32k)^2 and y
= (2+k)^2. Find dy/dx, the xintercept, the cartesian equation...
 Perpendicular Distance [04/10/1998]

Prove that the distance from a line ax + by + c = 0 to the point (h,k) is
(a*h + b*k + c)/(a^2+b^2)^(1/2).
 Piecewise Function [10/23/2001]

How do you graph the piecewise function?
 Piecewise Functions on TI Graphing Calculators [02/08/2005]

I was wondering if you could tell me how to graph a piecewise function
on a TI83 plus graphing calculator?
 Piecewise Notation and Absolute Value [9/9/1996]

How do I use piecewise notation to write x in terms of y for "y=2x+
abs(2x)"?
 Point Contained by a Circle [8/8/1995]

How can I tell if an arbitrary point on a plane is contained by a circle?
 Point inside a Triangle [07/15/2001]

Given four points, three of them the corners of a triangle, is there a
formula to determine whether or not the fourth is inside the triangle?
 Point Inside or Outside Triangle? [08/02/2001]

I have coordinates of three vertices of the triangle and coordinates of
the point.
 Point on a Line [03/23/2001]

Can you please tell me a formula to find if a point exists on a line?
Both are in x,y form.
 Points Equidistant from Point and Line [08/30/2001]

I have to plot as many points equidistant from a point and a line as
possible, and join them to get the locus.
 Points Where a Parametric Equation Crosses Itself [10/12/2001]

Find all the points where the function of the parametric equation: x=
t(9t^2) and y=(t^21)(t^29) crosses itself...
 Polar Coordinates and Logarithmic Spirals [04/25/2004]

The polar coordinate graph of a logarithmic spiral suggests that for a
given angle, there is more than one possible rvalue, since the graph
continues to spiral around itself. How is it possible for an
angle to be associated with more than one r?
 Polar Coordinates From Cartesian Coordinates [07/27/1998]

How do you find the polar coordinates from the Cartesian coordinate (3, 
3 sqrt(3))?
 Polar Equation of a Circle [4/12/1997]

Given the polar equations r = a*sin (theta) and r = a*cos (theta), what
influence does a have on the graph?
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