1.) identify the domain of the equation y = x2 − 6x + 1.
a.) x ≤ 3
b.) x ≥ −8
c.) x ≥ −2
d.) all real numbers
2.) functions f(x) and g(x) are shown below:
f(x) = x^2
g(x) = x^2 + 8x + 16
in which direction and by how many units should f(x) be shifted to obtain g(x)?
a.) left by 4 units
b.) right by 4 units
c.) left by 8 units
d.) right by 8 units

1. "All real numbers" is the one domain of the equation y = x2 − 6x + 1 among the following choices given in the question. The correct option among all the options that are given in the question is the fourth option or option "D".

2. "Left by 4 units" is the one among the following choices given in the question that gives the direction and by how many units f(x) be shifted to obtain g(x). The correct option is option "A".