Which graph shows the axis of symmetry for the function f(x) = (x – 2)2 + 1?

Given function is

Now question says to find the graph that shows the axis of symmetry for the given function.

Graph is missing but I can help you to find the correct graph.

Given equation is in the vertex form whose formula is given by

Comparing given function with above formula, we get:

a=1, h=2 and k=1.

For the vertex formula , we know that axis of symetry is given by equation:

x=h

So for the given function, axis of symmetry will be x=2

Graph of x=2 will be a vertical line crossing x-axis at x=2

So you just need to find the graph from given choices which contains a vertical line crossing x-axis at x=2.

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.