Question

Which graph accurately demonstrates the relationship between the functions f(x)=x−−√
and f(x)=x−−√+3
?(1 point)

Two curves are graphed on a coordinate plane. The x-axis ranges from negative 3 to 3 in increments of 1. The y-axis ranges from negative 6 to 6 in increments of 2.
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Two curves are graphed on a coordinate plane. The x-axis ranges from negative 3 to 3 in increments of 1. The y-axis ranges from negative 6 to 6 in increments of 2.
▶Click for Long Desc

Two curves are graphed on a coordinate plane. The x-axis ranges from negative 3 to 3 in increments of 1. The y-axis ranges from negative 4 to 4 in increments of 2.
▶Click for Long Desc

Two curves are graphed on a coordinate plane. The x-axis ranges from negative 3 to 3 in increments of 1. The y-axis ranges from negative 4 to 4 in increments of 2.
▶Click for Long Desc
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Answer 1

The correct graph is the one where both curves start at x = 0 (domain x ≥ 0), have the same shape, and one is exactly 3 units above the other — i.e., one curve passes through (0,0) and the other through (0,3). This shows f(x)=√x and f(x)=√x+3 (a vertical shift up by 3).