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How do you graph this?

  1. Feb 1, 2015 #1
    1. The problem statement, all variables and given/known data
    I am not sure how to graph the function

    f(x)=(x+p)+q

    2. Relevant equations


    3. The attempt at a solution

    When x=0 y=p+q
    if y=0 x=-q-p ???

    what shape would this give??
     
  2. jcsd
  3. Feb 1, 2015 #2
    f(x) = (x + p) + q can also be written as f(x) = x + (p + q)
    No as p and q are both constants, let:
    p + q = c
    Sp, we get f(x) = x + c
    This is similar to the equation y = mx + c. What does this equation stand for?
     
  4. Feb 1, 2015 #3

    So it will just be a straight line upwards with a gradient of 1 and y intercept of p+q?
     
  5. Feb 1, 2015 #4

    Mark44

    Staff: Mentor

    This is nothing more than a straight line whose slope is 1 and whose y-intercept is p + q.

    The only reason I can think of for writing the right side as (x + p) + q is to get you to recognize this as a horizontal translation and a vertical translation of the graph of y = x.
     
  6. Feb 1, 2015 #5
    Yes!
     
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