Y=3 (x-7)^2-1 what is the table of values
1 answer:
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Answer:
Step-by-step explanation:
We can prove that a tangent will always be perpendicular to the radius touching it. So, the other angle in the diagram is .
Because all the angles of a triangle sum to , we have that
.
We combine like terms on the left side to get .
We subtract on both sides to get
.
So, and we're done!
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: