Question

Figure JKLMN with vertices J(-3,2), K(3,5), L(5,-2), M(2,-3), and N(-2,-2) is graphed. The following rule has been applied to the rectangle. (x, y) → (* 3, y - 5) the apply the rule （8,7） → （-8，-

Answer 1

To apply the rule (8,7) → (-8,-6) to the rectangle JKLMN, substitute the x and y coordinates into the rule.

Step-by-step explanation:

The rectangle JKLMN is graphed with vertices J(-3,2), K(3,5), L(5,-2), M(2,-3), and N(-2,-2). The rule (x, y) → (x * 3, y - 5) has been applied to the rectangle. To apply the rule (8,7) → (-8,-6):

1. First, substitute the x-coordinate of (8,7) into the rule: -8 = 8 * 3 = 24
2. Second, substitute the y-coordinate of (8,7) into the rule: -6 = 7 - 5 = 2
3. Therefore, the coordinates after applying the rule to (8,7) are (-8,-6).

The question pertains to the application of a transformation rule to a given set of coordinates for a geometric figure, specifically a rectangle, and then to sketch additional transformations on the same diagram. However, the question appears incomplete or contains typographical errors, making it challenging to provide an accurate and helpful response. The information given is supposed to describe a rule of the form (x, y) → (ax, y - b), but the rule is not clearly presented.

Moreover, there is a mention of plotting functions such as y = x and y = e^x on a graph. Ultimately, the proper understanding of transformations and plotting functions are key concepts.

To perform the transformation or plot the functions accurately, the specific details of the transformation rule and the functions need to be clear and correctly presented.