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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.
 Lagrange Polynomial Interpolation [08/08/1997]

Please give me the definition and a brief example of how it works.
 Lattice Points and Boundary Lattice Points [08/30/1998]

What is an interior lattice point and a boundary lattice point of a given
shape (triangle, circle, rectangle, etc.)?
 Linear Equations and Standard Form [04/04/2002]

What do the variables mean in the standard form of a linear equation
(ax+by=c)?
 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...
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