Write the function whose graph is the graph of $y=x^{2}$, but is shifted to the right 6 unit
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Answer

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Answer

$\boxed{y=(x-6)^{2}}$ is the function that represents the graph of $y=x^{2}$ shifted to the right by 6 units.

Steps

Step 1 ：The function $y=x^{2}$ is a parabola that opens upwards with its vertex at the origin (0,0).

Step 2 ：When we shift this graph to the right by 6 units, the vertex of the parabola will be at (6,0).

Step 3 ：This means that the x in the equation $y=x^{2}$ is replaced by $(x-6)$ to represent this shift.

Step 4 ：$\boxed{y=(x-6)^{2}}$ is the function that represents the graph of $y=x^{2}$ shifted to the right by 6 units.