Sam is baking a cake. He needs 1/4 cup of sugar for each cake. One bag of sugar has 1/2 cup' of sugar. How many bags of sugar do
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Answer:
Center: (4,8)
Radius: 2.5
Equation:
Step-by-step explanation:
It was given that; the endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).
Note that the longest chord is the diameter;
The midpoint of the ends of the diameter gives us the center;
Use the midpoint formula;
The center is at;
To find the radius, use the distance formula to find the distance from the center to one of the endpoints.
The distance formula is;
The equation of the circle in standard form is given by;
We substitute the center and the radius into the formula to get;
Using translation concepts, the graph of f(x) = (x - 2)² + 3 is given at the end of the question.
<h3>What is a translation?</h3>A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
In this problem, we have that the parent and the translated function are given, respectively, by:
- g(x) = x².
- f(x) = (x - 2)² + 3.
The translations are as follows:
- Right two units, as x -> x - 2.
- Up 3 units, because f(x) = g(x) + 3.
Hence the graphs are given at the end of the answer, with the parent function in red and the translated function f(x) = (x - 2)² + 3 in green.
More can be learned about translation concepts at brainly.com/question/4521517
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