Answer:
C. It is in Quadrant I
D. It starts at the origin
Step-by-step explanation:
<u>Parent function</u>:
<u>Domain</u>: set of all possible input values (x-values)
As the square root of a negative number does not exist in the set of Real Numbers, the domain for the parent function is:
- Solution: x ≥ 0
- Interval notation: [0, ∞)
<u>Range</u>: set of all possible output values (y-values)
As the domain of the parent function is x ≥ 0, the range will be:
- Solution: f(x) ≥ 0
- Interval notation: [0, ∞)
As the range and domain both begin at zero, the graph of the parent function <u>starts at the origin</u> (0, 0).
<u>Quadrant</u>: a region of the Cartesian plane formed when the x-axis and y-axis intersect each other.
Quadrant I: (x, y)
Quadrant II: (-x, y)
Quadrant III: (-x, -y)
Quadrant IV: (x, -y)
Therefore, as the range and domain of the parent function are positive, the graph is in <u>Quadrant I</u>.