Overlay a new graph replacing each x by (x - 4).

Replacing the 'x' with 'x-4' moves the points of the graph 4 to the right.

Now we can change the equation to move the graph into the second quadrant.

Replacing the 'x' with 'x + 4' (as opposed
to 'x-4') moves the graph 4 to the *left *as shown above*.*
Now adding a number greater than 5 to the -4 in the equation moves
the graph up into the second quadrant as shown below. For the
red graph, 10 was added to the -4 to give us 6.

Below the equation has been changed to produce a graph concave down that shares the same vertex.

The equation (found by completing the square) for the red graph is

For details on *completing the square*,
click __HERE__

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