Question

help please @mary.rojas

Answer 1

So when you move a graph left and right, you add a + ___ or a - ____ that is PAIRED with x. When I say paired with x, I mean that it is required to be in parenthesis, absolute value bars, or something else that acts like a container or grouping symbol. So for you to change x^2 left or right, you must put something like:
\[(x-4)^{2} \]
\[(x+4)^{2} \]So your graph is moved 4 to the left. Now when you move to the left, you add a positive number. So (x + 6)^2 is x^2 moved 6 to the left. So for you, a movement of 4 to the left just means (x+4)^2. Of course if you needed it right then itd be (x-4)^2, but yeah.

Answer 2

we need to give the definition and graphical representation of a quadratic function :)
thanks @Psymon

Answer 3

does the whole equation change if it was to the left? @Psymon

Answer 4

If its simply a leftward movement, then only the + ___ or - ____ is what changes. So a movement left is just (x + ___)^2 and a movement right is just (x - ___)^2. That is the only change that would occur. You would need to have the graph squished or flattened or moved up and down to have any other changes.

Answer 5

ooo ok thank you for the great explanation :)

Answer 6

Yep. np : )