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We are given a triangle on the graph.
The vertices of the given triangle are (1,3), (-3,4) and (5,5).
The shown triangle is being transformed by the following rule
(x, y)→(x+3, y−2).
Let us apply same rule in each of the above coordinate
(1,3) →(1+3, 3 -2) → ( 4,1)
(-3,4) →(-3+3, 4 -2) → ( 0, 2)
(5,5) →(5+3, 5 -2) → ( 8, 3).
<h3>Therefore, coordinates of the transformed triangle are (4,1), (0,2) and (8,3).</h3>
The center of the circle is at (-2, 0). The radius is 5 units. The equation for a circle, in standard form is
.
We have our h and k from the center. h is the x coordinate and k is the y coordinate. The radius is 5. That means that the circle's equation, before simplifying, is
. After simplifying it is
. That's A and B. For C, we will simply pick points on the axes. One point on the circle is at (3, 0); another point is at (-2, 5); a third point is at (-7, 0). For D, the area of a circle is
.
For us that looks like this
. In terms of pi the answer is 25 pi, but in decimal form to the nearest square unit, it's 79 units squared.