• anonymous
  • Stacey Warren - Expert
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
  • schrodinger
I got my questions answered at in under 10 minutes. Go to now for free help!
  • YoungStudier
Uhm, do you need help?
  • anonymous
1 Attachment
  • anonymous
When you shift a graph you are adding (or subtracting) some constant number to the function. If you look at a basic graph of a parabola, y=x^2, and compare it to y = x^2 + c, where c is any number, you will see that they look the same, just the second crosses the y axis at the point c instead of the origin. In fact y=x^2 is just the situation where c=0. Shifting left and right is a bit trickier, you need to add your constant c into the function. For example if you wanted to take the parabola and movie it over to the right, you would write y = (x-c)^2. The reason you subtract to make it move right is because at the value f(c) you want the function to be 0, as this is where the parabola has its x-intercept. For your question since you want to move the function to the right by 4, you would subtract 4 from x inside the function itself. This gives the answer of g(x) = -abs(x-4). To gain some intuition on this (for your upcoming tests, of course) I recommend plotting a graph of the functions I just discussed at:

Looking for something else?

Not the answer you are looking for? Search for more explanations.