Graphing Functions

Solve the question of and select the option from the choices A through D/E. Check your Answer and view the explanation.

Transform the following parabola $y = (x - 6)^{2} + 5$

Move 5 units to the left.

Move 1 unit down.

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To move unit down, subtract from Y (or from the entire equation) , so subtract 1.

To move unit to the left, add to X (don't forget, that since you are squaring X, you must square the addition as well).

With the move down our equation $y = (x - 6)^{2} + 5$ becomes $y = (x - 6)^{2} + 5 - 1 = (x - 6)^{2} + 4$

Now to move it to the left we get $y = (x - 6 + 5)^{2} + 4 = (x - 1)^{2} + 4$