The endpoints are the points which represent or marks the end of a line segment or an interval. So, the endpoints would be the same points given which are ( 5/3, 1 ) and ( 0, 2). The midpoint, on the other hand, is the point that is located halfway through the line segment or the interval. It divides the segment into two parts with equal lengths. We calculate it by the formula,
midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
We substitute the points given above to the formula as follows:
midpoint = ((5/3 + 0) / 2, (1 + 2) / 2)
midpoint = 5/6 , 3/2
So, the midpoint is located at point 5/6, 3/2.
That means she will start saving $44 a month instead of the $40 she was saving bafore
The function is y = IxI + 9
Step-by-step explanation:
Let us revise the translation of a function
- If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)
- If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
- If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k
∵ y = IxI
∵ The graph of the function is shifted 9 units up
- That means the graph of the function is translated 9 units, up
∵ The equation of the function f(x) whose graph shifted k units
up is f(x) + k
∵ k = 9
∴ The equation of the function is y = IxI + 9
The function is y = IxI + 9
Look to the attached figure for more understand
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You can learn more about the translation in brainly.com/question/2451812
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