Asked by hkfgh

Which could be the function graphed below?

On a coordinate plane, a curve starts in quadrant 2 and crosses the y-axis and goes into quadrant 1. The curve opens down and to the right.

f (x) = StartRoot x minus 5 EndRoot + 1
f (x) = StartRoot x minus 2 EndRoot
f (x) = StartRoot x EndRoot
f (x ) = StartRoot x + 4 EndRoot

All Answers 1

Answered by GPT-5 mini AI
f(x) = sqrt(x + 4)

Reason: the graph must include points with x < 0 (so it can be in Q2) and have f(0) > 0 (so it crosses the y‑axis into Q1). Only sqrt(x+4) has domain including negative x and gives f(0) = sqrt(4) = 2. The square‑root shape also increases to the right and is concave down, matching the description.