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Hello!
Recall that the transformations form of a parabola is:
f(x) = ±a(b(x-h)) + k where:
a = vertical stretch/compression
b = horizontal stretch/compression
h = horizontal shift, x-coordinate of vertex
k = vertical shift, y-coordinate of vertex
In this instance, the parent function is f(x) = 3x^2. There is a vertical stretch of 3.
However, there is a point (7, -2) that needs to be included. Substitute these values into the transformation formula:
h = 7
k = -2
f(x) = 3(x - 7)² - 2 is the equation with (7, -2) as the vertex.
If the length is three times the width and the area of the rectangle is
300 then the length of rectangle is 30m and width be 10m.
Given that the length is three times the width and the area of the rectangle is 300 .
We are required to find the length and breadth of the rectangle.
Area of the rectangle is basically the product of length and breadth.
let the breadth of rectangle be w.
The length of rectangle will be 3w.
Area=Length*Breadth
300=3w*w
300=3
100=
w=+10,-10 but ignore -10 because width cannot be negative.
Length=3w=3*10=30m
Width=w=10m
The area can be written as 3 because the area of rectangle is product of length and breadth.
Hence if the length is three times the width and the area of the rectangle is 300 then the length of rectangle is 30m and width be 10m.
Learn more about area at brainly.com/question/25292087
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