Find the rule for the following set of data.
2 answers:
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Answer:
C.y=sin(x-2)
Step-by-step explanation:
Using the topic of transformation of functions(rules shown in picture above)
the the (x-2) moves the graph to places to the right
and as the sine graph goes through 0 and so you add 2 to the right (but there is a problem in the graph should in the picture as it should me labeled 0,90,180,270,360 not these small numbers)
hope it helps!! :)
a. The general equation for a circle centered at with radius
is
The described circle has equation
We know the circle passes through the origin. This means that the equation above holds for and
. The distance between any point on the circle and its center is the radius, so we can use this fact to determine
:
So the circle's equation is
b. If the distance between point B and the center is less than , then B lies inside the circle. If the distance is greater than
, it falls outside the circle. Otherwise, if the distance is exactly
, then B lies on the circle.
The distance from B to the center is
, so
, which means B falls outside the circle.