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Write the function whose graph is the graph of y=x^2 but is shifted to the right 2 units

1 Answer

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Answer:

y = (x - 2)^2

Explanation:

Left or right shifts are horizontal shifts (shift, slide or translate are all kind of interchangeable words) Horizontal shifts are to do with the x, which is the horizontal coordinate. Just note, for math reasons...the left shift is a " + anumber " right beside, in close, tight with the x. A right shift is a

" - anumber " in close tight with the x.

So for your question, a right shift of 2 units changes the x to

(x - 2)

So you get, for your equation:

y = (x - 2)^2

(Just for future reference, up and down shifts are tacked on to the end of the equation and up is + and down is - properly, the way you think it should be.

A number in front of the x will stretch or shrink the curve. And a negative in that spot will flip the whole curve from head to toe!)

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