If you shift the quadratic parent function, f(x)=x2 , right 10 units, what is the equation of the new function?

Step-by-step explanation:

The standard form of a quadratic is

where h is side to side movement (it's also the x coordinate of the vertex) and k is the up or down movement (it's also the y coordinate of the vertex). If there is no up or down movement, the k value is 0. (We don't need to worry about the value for a here; it's 1 but that doesn't change anything for us in our problem). Movement to the right is positive, so we are moving +10. Filling that into our equation:

and simplified:

 That is the parent graph shifted 10 units to the right.

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step-by-step explanation: