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: $x^{2} + 4$ .

Shift up 5 and to the left 3.

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When transforming paraboloas, to translate up, add to the equation (or add to the Y).

To translate to the left, add to the X.

Don't forget that if you add to the X, then since X is squared, the addition to X must also be squared.

$x^{2} + 4$ with the shift up 5 becomes: $x^{2} + 4 + 5 = x^{2} + 9$

Now adding the shift to the left we get:

$x^{2} + 9 \to (x - - 3)^{2} + 9 = (x + 3)^{2} + 9$