Start with
Expand both parentheses by multiplying both terms by the number outside:
Sum like terms:
Simplify the "+3" on both sides:
Subtract 2x from both sides:
Divide both sides by 2:
Question 1
1 answer:
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We are said that a rectangle has been transformed into the one indicated in Figure 1 according to this rule:
We know that the center of rotation is origin and two rules are applied to rotate a point 90 degrees, namely:
1. Clockwise
In this case, the rule to transform a point is:
This rule was already applied to form the image, so all we need to do is to reverse the answer using this formula, therefore:
2. Counterclockwise
Applying the same previous concept but with the new rules for this case:
By reversing the answer, we have:
We know that the center of rotation is origin and two rules are applied to rotate a point 90 degrees, namely:
1. Clockwise
In this case, the rule to transform a point is:
This rule was already applied to form the image, so all we need to do is to reverse the answer using this formula, therefore:
2. Counterclockwise
Applying the same previous concept but with the new rules for this case:
By reversing the answer, we have: