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

15 batches are the most you can make

step-by-step explanation: