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 TOPICS This page:   equations, graphs   translations    Search   Dr. Math See also the Internet Library:   graphing equations HIGH SCHOOL About Math Analysis Algebra    basic algebra    equations/graphs/      translations    linear algebra    linear equations    polynomials Calculus Complex Numbers Calculators/    Computers Definitions Discrete Math    permutations/    combinations Exponents    Logarithms Fibonacci Sequence/   Golden Ratio Fractals Functions Geometry    Euclidean/plane      conic sections/        circles      constructions      coordinate plane      triangles/polygons    higher-dimensional      polyhedra    non-Euclidean    practical geometry    symmetry/tessellations History/Biography Interest Logic Negative Numbers Number Theory Physics/Chemistry Probability Projects Puzzles Sequences/Series Sets Square/Cube Roots Statistics Transcendental   Numbers Trigonometry 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, slope-intercept, standard form. Changing a Trigonometric Graph [08/06/1998] How do you graph: -cos 2x / 2? Converting and Graphing Coordinates [5/28/1996] How do you convert a decimal to a polar coordinate and graph it? Curve Fitting [12/13/1996] How do you convert points on a graph to a line? Equation of a Line Parallel to an Axis [06/19/2003] How can I get the equation of a line if the line passes through a point and is parallel to the x- or y-axis? Equations of a Line given Two Points [8/31/1996] How do you find the equation of a line going through two points if you only know the two points? Finding y-intercepts [6/12/1996] I'm having a problem with finding and graphing y-intercepts of linear equations. Formula for Point in Rectangle [5/31/1996] I need a formula that will allow me to determine whether or not a specified point lies within a rectangle. Geometric Objects and Properties using Algebra [06/29/1998] Why does y = mx+b, and what does it mean? Graphing Coordinates [1/15/1997] How can you tell if you have a straight line just by looking at the numbers? Graphing Linear Equations [04/11/2003] How do I find the points on the line so that I can find the slope and the y-intercept? Graphing y = mx+b [6/28/1996] I don't understand what y = mx+b means and how to do slope intercept form. An Introduction to Parabolas [02/04/1999] What is a parabola? What are some of its properties? What are some examples of parabolas in real life? Line of Best Fit [07/08/2003] I am looking for help in how to manually find the slope and intercept of this problem. Nomographs [06/12/2003] What are nomographs used for? How does one use them? Are they still in use? and last but not least, How are they constructed? Non-Algebraic Explanation of a Parabola [05/16/2000] What does a parabola look like? How is it formed? No Solution, Infinite Solutions [01/03/2002] Solve: 8(2x-3) = 4(4x-8); -3(x-3) is greater than or equal to 5-3x. Rational Inequality [10/09/2001] Solve this rational inequality and give an answer in interval notation: - 5/(3h+2) greater than or equal to 5/h. Simplify this equation: (x+y)/(y^2-xy-y+x) + (y+1)/(xy-x-y+1) + (x+1)/(x^ [8/18/1995] A rare '"live" talk session with Dr. Math about factoring an equation. Slope Angle [06/17/2003] What units do we use to refer to slope? Stem-and-leaf Graph or Stemplot [10/12/1997] Can you explain a stem leaf graph? Tables, Graphs, and Equations [09/04/2001] Make a table of values to determine the coordinates of three points that lie on the graph of y = 3x+5. Use the headings x, 3x = 5,y, and (x,y). Then... Translating Parabolas and Completing the Square [5/23/1995] Parabolas translated from the origin, and standard equations. State the coordinates of the vertex, and sketch the graph of y^2+8y+8x-8=0. When is a Slope 0 or Undefined? [3/29/1997] How do I know when the slope of an equation is zero or undefined (no slope)? Working with Two Equations using Graphs [01/16/2002] You estimate that you can make muffins for \$.30 each. Advertising will cost \$18.00. You sell the muffins for \$.75 each. Write and graph equations to represent income and expenses. Find the break-even point. 2D Graphing Software: Maple [7/15/1996] Could you recommend any PC software that could help me study hyperbolas and other curves? 3-D Points to a 2-D computer screen [07/25/1997] I am trying to write a 3-D graphics engine that takes 8 points with their own (X,Y,Z) coordinates to plot a CUBE in 3-D space... About Hyperbolas [8/7/1996] Find the graph and the equation of a hyperbola. Absolute Value Equation with Diagonal Axis of Symmetry [01/10/2002] What's an example of an absolute value equation where the axis of symmetry is a diagonal line, say y = x? Analyzing Range of Function with and without Calculus [08/19/2007] Show that for all real values of x, the graph of (x^2 + x + 1)/(x + 1) does not lie between -3 and 1 on the y-axis. Arc Midpoint [07/17/2001] I'm trying to figure out the midpoint of an arc where I know the start and end points of the arc and the radius only. Asymptote for (x-4)/x^2 [04/10/2002] For the function (x-4)/x^2 there is a horizontal asymptote at y=0; however, at x=4 y=0 the graph of the function does intersect the line that is supposed to be the asymptote. How can this be if by definition the asymptote is a line that the function gets close to but does not touch? Bezier Splines [12/03/1996] What are the equations for Bezier splines? How would I graph them? Big O: 2 Functions Map from N to N+ [6/25/1996] If f, g: N -> N+, then either f(x) is O(g(x)) or g(x) is O(f(x)). Why? Big O Notation and Polynomials [04/12/2001] Given the function f(x) = (x^3 - (4x^2) + 12)/(x^2 + 2), how can I find a polynomial function g(x) such that f(x) = O(g(x)) and g(x) = O(f(x))? Changing Equations To Slope-Intercept Form [07/17/1998] Can you explain how to change equations into slope-intercept form? For example, 12(2x-1) - 5(3y+2) = 8? Complex Numbers in Quadratic Equations [11/09/1999] How are imaginary numbers used in solving quadratic equations? How can solutions of this type be represented graphically? Composite Functions [4/5/1996] 1) fog(x) = 7x + 3; gof(x) = 7x - 3; f(0) = 1; g(0) = ..... Connecting the Dots [02/02/1998] How do you know whether or not to connect the dots when graphing a real- life function? Coordinates of a Point [6/12/1996] ABC is a right-angled triangle labeled counter-clockwise with its point C lying on the line y=3x. A is (2,1) and B is (5,5). Find the two possible coordinates of C. Creating a Smooth Acceleration in Animation [05/09/2001] I am trying to figure out a way to set the value of X to achieve a specific difference between the last two sets in this problem... Page:  1  2  3  4  5  6  7 [next>]

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