What's the difference between the graphs of these 2 functions?

Question

For a math project I'm doing in my Trigonometry class, I have to do a bunch of graphs and transformations, about 80 in all. Two transformations in particular have me a bit stumped, and they are both of the same function. One is -f(x)=x and the other is f(-x)=x. Last I checked, those are the same thing, right? If they are different, how would I go about graphing them, especially on a calculator (we have to do our graphs on a graphing calculator or computer and print them out)?

Asking my teacher is not an option, she doesn't explain anything well at all. Most of my classmates and I have taught ourselves most everything this year.

Thanks in advance for your help.

Geronimo · Accepted Answer

- f(x) = x
    f(x) = - x

           f(- x) = x
         f(- - x) = - x
           f(x) = - x

 ... yes, they are the same. Plot:   y = - x   slope = -1 and y_intercept = 0

? · Answer

it ability upward 3 instruments. the function translates to this: y=x+3 by using actual actuality saying y and f(x) are an same challenge. the person-friendly function is y=x. this would properly be a diagonal line coping with 0. once you carry out a translation in this function, it creates some challenge like what you've excellent right here y=x+3. this suggests pass up 3 instruments. if it were x-3, that ought to point pass down 3 instruments. if it were y=(x+3) that ought to point pass left 3 instruments. vertical translations at the prompt are not in parentheses, yet horizonal translations will always be in parentheses. favor that enables!

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What's the difference between the graphs of these 2 functions?

2 Answers