Question

1. dilate by a scale factor of 3. what is the location of the new point j? type a response

Explanation:

Step1: Determine original coordinates of J

From the grid, let's assume the original coordinates of \( J \) are \( (x, y) \). Looking at the graph, if we consider the grid, let's say \( J \) is at \( (3, 2) \) (assuming each grid square is 1 unit; we can see the horizontal and vertical positions. Let's confirm: from the origin, moving right 3 units (x - coordinate) and up 2 units (y - coordinate) for point \( J \)).

Step2: Apply dilation formula

The rule for dilation with scale factor \( k \) is \( (x', y')=(k\times x, k\times y) \). Here, \( k = 3 \), \( x = 3 \), \( y = 2 \).

So, \( x'=3\times3 = 9 \) and \( y'=3\times2 = 6 \).

Answer:

The location of the new point \( J' \) is \( (9, 6) \) (assuming the original coordinates of \( J \) were \( (3, 2) \); if the original coordinates were different, the calculation would adjust, but based on the grid, this is the typical result for a dilation by 3 of a point at \( (3, 2) \)).