Determine the equation of the circle graphed below
1 answer:
Equation of the circle is (x - 6)² +(y-7)² = 4.
<h3>What is a Circle ?</h3>A figure having round shape and all the points lie on the same plane is called a circle.
Equation of a circle can be formed using centre of the circle and radius of the circle.
(x-h)² +(y-k)² = r²
where (h,k) is the vertex and 'r' is the radius.
From the given graph the centre of the circle is at (6,7)
and radius of the circle is 2 units
(h,k) is (6,7)
and r= 2
Substituting all the values
The equation of the circle
(x - 6)² +(y-7)² = 2² = 4
Equation of the circle is (x - 6)² +(y-7)² = 4
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Answer:
- left 1 unit
- down 2 units
Step-by-step explanation:
The transformation g(x) = f(x -h) +k is a translation of f(x) to the right by h units and up k units.
1. h = -1, so the graph of g(x) is the graph of f(x) shifted left 1 unit. (blue)
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2. k = -2, so the graph of g(x) is the graph of f(x) shifted down 2 units. (green)
