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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.
 Graphing Parabolas [01/16/1997]

How do you know how to graph a parabola from looking at its equation?
 Graphing Peculiarity [07/24/2002]

When I use a calculator to graph one form of an equation it works
fine; but when I use a different form, it doesn't work. What's going
on?
 Graphing Polar Equations [06/02/2002]

I need to graph the polar equation (r3/5)^2 = cos(7 theta), and I
don't know how to do it.
 Graphing Quadratic Polynomials [02/07/2001]

Can you give me a simple explanation of how to graph quadratic
polynomials like y = x^2  8x + 15?
 Graphing Rational Functions and Vertical Asymptotes [03/28/2008]

When working with rational functions such as y = (x5)/(x3), how do
you know if the graph curves up or down at the vertical asymptote?
 Graphing Reciprocal Functions [11/01/2001]

I know what a reciprocal is, but I don't know how to graph it.
 Graphing Sin and Cosine Functions [5/24/1996]

I really need some help in finding the graphs of the following
functions...
 Graphing Sine and Cosine [07/07/2000]

How do you graph equations that use the sine or cosine functions?
 Graphing Slanted Lines [07/22/1997]

When graphing slanted lines what does it mean when the instructions say
add, subtract, or divide both sides by a particular number?
 Graphing Systems of Equations [06/01/1998]

How do you solve this system of equations by graphing: 3x + 2y = 5 and 
3x  2y = 10?
 Graphing the Absolute Value/Square Root of a Function [07/26/2002]

Can you illustrate and discuss how taking the absolute value or the
square root of a function affects the graph of the function?
 Graphing Trig Functions [05/03/1997]

How do you graph y = 3sin4x3?
 Graphing Trigonometry Equations [5/15/1996]

How do I graph this one: Sin A  Cos A ?
 Graphing without the Y [01/28/2004]

I'm trying to graph the inequality x > 5, but without a y, how can I
graph it?
 Graph of Circle as a Function [05/30/1998]

The graph of a circle is not a function because it fails the vertical
line test. How could you make it a function?
 The Graph of f [7/3/1996]

Where are its local and absolute maxima and minima? What are the x
intercepts of the graph of f?...
 Graph of y = arcsin x [03/31/2003]

Understanding the graph of arcsin(x).
 Graphs of Step Functions [11/29/2003]

Why do some graphs move in steps rather than smooth lines? What causes
that?
 Graph the Ellipse... [01/01/1998]

[((x1)^2)/2^2] + [((y2)^2)/2^2] = 1. Graph the ellipse and find the
major and minor axes, the foci, the eccentricity, and the center.
 Graph Theory [09/29/2001]

Why is a graph with five vertices, each having a degree of 3, impossible?
 Graph with f(x) [10/17/2001]

Sketch the equations: y = f(x)+ 2; y = f(x3); y = 2f(x).
 Greatest Integer Equation [08/06/2003]

I am trying to correctly interpret [[x]]^2 + [[y]]^2 = 1, where f(x)=
[[x]], is the Greatest Integer function.
 Height and Weight [10/30/1996]

How do you find a formula that predicts a person's weight when all you
know is his/her height?
 History of the yintercept [03/18/2002]

Why does the variable 'b' represent the yintercept?
 HP38G Graphic Calculator [08/29/1998]

I'm having trouble graphing on my HP38G calculator. Can you help?
 Intercept Equation [10/07/1998]

I found a plane using the intercepts (4,0,0), (0,5,0), and (0,0,3). Now
I want an equation for those points using Ax + By + Cz = D.
 Intercept of Two Lines [06/07/1999]

How can you calculate the exact location of the intercept point of two
lines without graphing?
 Intercepts of Quadratic Functions [12/10/2003]

Why do some quadratic functions have two xintercepts and one yintercept?
 Intersecting Parabolas [09/15/1999]

When do the four points of intersection of two parabolas all lie on a
circle?
 Intersection of a Parabola and a Line [10/19/2003]

What equation would you use to determine the xcoordinates of the
points of intersection of a quadractic function ax^2 + bx + c with the
line y = x?
 Introduction to Quadrants in the Coordinate Plane [02/05/2004]

What is a quadrant? How do you find it? I had to identify 9 ordered
pairs on a graph. Now I need to also name the quadrant each one is in.
 Inverse Function [9/15/1996]

Given f(x) = 1  2/x what is f1(x) ?
 Inverse Function for Natural Numbers [6/10/1996]

I've got a question about the function n = 0.5((a+b)^2+3a+b), which is a
onetoone bijection from pairs (a,b) of natural numbers to single
natural numbers n.
 Is It Really Possible to Draw a Graph? [02/01/2007]

Since graphs are collections of points, and points have no dimensions
(depth, length, height), we can't really draw a graph. All we can do
is make a "representative graph". Is that right?
 Is y = abs (x) Continuous? [8/29/1996]

Is y equals the absolute value of x a continuous function?
 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.
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