Question

in which quadrant of the coordinate graph does point f lie? quadrant i quadrant ii quadrant iii quadrant iv

Explanation:

Step1: Recall quadrant rules

In a coordinate plane, Quadrant I: \(x>0,y>0\); Quadrant II: \(x<0,y>0\); Quadrant III: \(x<0,y<0\); Quadrant IV: \(x>0,y<0\).

Step2: Analyze point F's coordinates

From the graph, point F has a positive \(x\)-coordinate (to the right of the \(y\)-axis) and a negative \(y\)-coordinate (below the \(x\)-axis), so \(x>0,y<0\).

Step3: Match with quadrant rules

This matches the rule for Quadrant IV (\(x>0,y<0\)).

Answer:

Quadrant IV