If we transform y = x2 by 5 units to the left and 8 units up, what is the vertex of the resulting parabola?

Step-by-step explanation:

The given function is

Notice that this is a parent function, that is, the simplest form of a quadratic function.

The transformations are:

Notice that this are rigid transformations, specifically, they are translations only.

Remeber, to move a function to the left, we must sum units to the x-variable. To move a function upwards, we must sum units to the y-variable.

Therefore, the transformed function is

Notice that the equation has the form .

Where , and .

Additionally, an important property of quadratic function is the vertex of the parabola which represents the function, which is at

Therefore, in this case, the vertex is at