Question

cartesian coordinate system
1 multiple choice 20 points
which coordinate corresponds to point \f\? ¿qué coordenada corresponde al punto \f\?
(4,4)
(-4,4)
(1,1)
(-4,-4)
(-1,-1)
(1,-1)
(-1,1)
(4,-4)
2 multiple choice 20 points

Explanation:

Step1: Analyze Quadrant of Point F

Point F is in the third quadrant, where both x and y coordinates are negative.

Step2: Evaluate Options

• (4,4): First quadrant (both positive) – incorrect.
• (-4,4): Second quadrant (x negative, y positive) – incorrect.
• (1,1): First quadrant – incorrect.
• (-4,-4): Third quadrant (both negative) – candidate.
• (-1,-1): Third quadrant (both negative) – candidate. Wait, but looking at the graph, F is at (-4,-4)? Wait, no, maybe the grid. Wait, the options: let's recheck. Wait, the options include (-4,-4) and (-1,-1). Wait, maybe the graph: point F is in the third quadrant, and from the grid, let's see. Wait, the correct option should be (-4,-4)? Wait, no, maybe I misread. Wait, the options: the fifth option is (-1,-1)? Wait, no, the options are: (4,4), (-4,4), (1,1), (-4,-4), (-1,-1), (1,-1), (-1,1), (4,-4). Wait, point F: in the Cartesian plane, third quadrant (x<0, y<0). Now, check the coordinates. Let's see the graph: F is at (-4,-4)? Or (-1,-1)? Wait, maybe the correct answer is (-4,-4)? Wait, no, maybe the options: let's check again. Wait, the fourth option is (-4,-4). So we need to see the position. In the graph, F is in the third quadrant, and if the grid lines are at intervals, maybe (-4,-4) is the correct one? Wait, no, maybe I made a mistake. Wait, the options: the fourth option is (-4,-4). So the correct answer should be (-4,-4). Wait, but let's confirm: in the Cartesian coordinate system, third quadrant has x negative and y negative. So among the options, (-4,-4) and (-1,-1) are in third quadrant. But looking at the graph, F is at (-4,-4)? Or maybe the correct option is (-4,-4). Wait, maybe the graph's F is at (-4,-4). So the correct option is (-4,-4).

Answer:

\boxed{(-4,-4)}