Consider the graphs of j times x is equal to 7 sine open paren 6 x minus pi over 2 close paren plus 11 and k times x is equal to 7 sine open paren 6 x minus pi over 2 close paren minus 11 Which feature of the graph of k times x is different from the graph of j times x ?

Both functions have the same sine expression, 7 sin(6x − π/2), so they have the same amplitude, frequency, and phase shift. The constant added outside the sine shifts a graph vertically: j(x) is shifted up 11, while k(x) is shifted down 11. Therefore, the vertical shift is different.

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