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.
▶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 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

Answer 1

The correct graph is the one where the √x curve is shifted up 3 units — i.e. the two curves have the same shape, start at x = 0, and the second starts at (0, 3) (every y-value of √x is 3 units higher).