Question

which point was translated 3 units right from the point at (-4, 4)?

Explanation:

Step1: Recall translation rule

For a point \((x,y)\) translated \(a\) units right, the new \(x\)-coordinate is \(x + a\), \(y\)-coordinate remains \(y\).
Given original point \((-4,4)\), translate 3 units right: new \(x=-4 + 3=-1\), \(y = 4\)? Wait, no, wait the grid: Wait, maybe the original point is \((-4,-4)\)? Wait the grid has points. Wait the question is "Which point was translated 3 units right from the point at \((-4,4)\)?" Wait no, looking at the grid, the red point? Wait, let's check coordinates. Let's assume the original point is \((-4,-4)\) (red point). Translating 3 units right: \(x=-4 + 3=-1\), \(y=-4\). Now check the points: Point D is at \((-1,-4)\)? Wait the blue points: Let's list coordinates. Point A: \((-4,-4)\) (blue), Point B: \((-2,-4)\), Point C: \((-2,-6)\)? No, wait the grid: x-axis and y-axis. Wait the y-axis is vertical, x horizontal. Let's re-express: For a point \((x,y)\), moving right changes \(x\) by +3. Original point: let's say \((-4, y)\). After translation: \(x=-4 + 3=-1\). So find the point with \(x=-1\). Looking at the grid, the blue point D (or whatever) at \(x=-1\). Wait the options: A, B, C, B? Wait the top has boxes A, B, C, B? Wait the bottom grid: the red point is at \((-4,-5)\)? Wait maybe I misread. Wait the key is: translation 3 units right: \(x_{\text{new}}=x_{\text{old}} + 3\). Original point: let's say \((-4, y)\). Then new \(x=-4 + 3=-1\). So the point with \(x=-1\) is the translated one. Looking at the grid, the blue point at \(x=-1\) (maybe labeled D, but in the boxes, maybe the answer is the point with \(x=-1\), which is the one in box... Wait the options are A, B, C, B? Wait the top has three boxes: A, C, B? Wait maybe the correct point is the one with \(x=-1\), which is the middle or right? Wait, let's do the calculation: original x: -4, +3: -1. So the point with x=-1 is the translated point. Looking at the grid, the blue point at x=-1 (let's say that's the point in box... maybe the answer is the point with x=-1, which is the one corresponding to the calculation. So the correct point is the one with x-coordinate -1, which is the point that is 3 units right from x=-4.

Step2: Identify the point

Calculate new x: \(-4 + 3=-1\). Find the point with x=-1. From the grid, the point (let's say D, but in the options, maybe the one labeled with x=-1, which is the correct translated point.

Answer:

The point with x - coordinate - 1 (e.g., the blue point at \(x=-1\) on the grid, corresponding to the calculation of translating \((-4,y)\) 3 units right to \(x=-1\)). (Assuming the original point is \((-4,y)\), the translated point has \(x=-1\), so the correct point is the one with \(x=-1\), likely the point labeled as the result of the translation, such as the middle - right blue point on the grid.)