Answer both of the following questions.
Think of two things that you can measure. Give one that requires high precision, or a low level of uncertainty. Give another that can have lower precision, or a higher level of uncertainty.
Explain why you made your choices. Why does one measurement need to be more precise than the other?

c)

One way I did the problem: I provided work through elimination of choices (without any computations).

Second way I did the problem: I went through all the steps to actually find the vertex and the axis of symmetry.

Step-by-step explanation:

The vertex is given by:

.

The axis of symmetry of a parabola function is always going to be a vertical line and is in the case of the vertex being it would be .

So we can already rule out the following choices without any computations:

a can be ruled out since 0 is not 2.

b can be rules out because that is y=2 and not x=2. Even if it was x=2, it doesn't match the 0 x-coordinate in the vertex.

c is a possibility

d can be ruled out because that is y=2 and not x=2.

---

c is the only possibility so it has to be the answer but let's confirm.

Plug into the x-coordinate of the vertex:

So the axis of asymmetry is x=2 and the x-coordinate of the vertex is 2.

To find the corresponding y-coordinate we just plug 2 into our function:

.

So the vertex is (2,8) and the axis of symmetry is x=2.

Big note: If we weren't given that it was a function; like if it were a sideways parabola instead then the axis of symmetry which actually be horizontal and be of the form y=a number.