Which of the following functions translates the graph of the parent function f(x) = x 2 vertically up 6 units?

Step-by-step explanation:

Parent function:

this is the parent function of a parabola (the simplest form of parabola).

To move this function vertically we use the following:

where h is the amount of units we want to move this parabola, and we have the plus sign () because we want to move it up (if you would like move it vertically but down, the sign should be negative -).

In this case, because we want to move it 6 units:

and the function of the translated graph is

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-2

7 - 9 = -2

reversed:

-2 + 9 = 7