1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Graphing slope of tangent

  1. Jan 25, 2009 #1
    1. The problem statement, all variables and given/known data
    Find an equation for the tangent to the curve at the given point. Then sketch the curve and tangent together

    2. Relevant equations
    y=3-x^2 (-1,2)

    3. The attempt at a solution

    slope =

    f(x + h) + f(x) / h

    f(-1 + h) + 2 / h

    3- (-x + h)^2 + 2 / h

    3 - 1 + 2h + H^2 + 2 / h

    2h + h^2 / h

    = 2 + h
    = 2

    slope is 2

    y - y1 = m(x - x1)

    y - 2 = 2 (x + 1)
    y = 2x + 4 = equation

    Ok so I have no idea how to graph a tangent, can someone tell me how you graph this? I know how to sketch the graph 3- x^2 since it is a ^2 function it is u shaped, flipped on the x axis moved up three on the y. I know the tangent obviously passes through -1, 2 but how do I graph the rest? I know y intercept for tangent is 4, but where does it pass through x at? I am a little rusty
  2. jcsd
  3. Jan 25, 2009 #2


    User Avatar
    Science Advisor
    Homework Helper

    Do you mean where does it cross the x-axis? It does that when y=0 in the equation y=2x+4. Solve for x. You are rusty. It's just graphing a straight line.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Graphing slope of tangent
  1. Slope of tangent (Replies: 12)