Question 1 (Essay Worth 10 points)
1 answer:
Answer:
Step-by-step explanation:
For the transformation of this quadrilateral, we must use the rule and apply for each point to find the new points...
(x + 2 , y - 3)
A (-2, 2)
A' = (-2 + 2 , 2 - 3) =
A'(0, -1)
B (-2 , 4)
B' = (-2 + 2 . 4 - 3)
B' (0, 1)
C (2 . 4)
C' = (2 + 2 , 4 - 3)
C' (4 , 1)
D (2 , 2)
D' = (2 + 2 , 2 - 3)
D' (4 , -1)
You can compare each quadrilateral at the draw uploaded.
P.S: In conclusion that the draw was uploaded, this quadrilateral has been translated
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Let's divide the shaded region into two areas:
area 1: x = 0 ---> x = 2
ares 2: x = 2 ---> x = 4
In area 1, we need to find the area under g(x) = x and in area 2, we need to find the area between g(x) = x and f(x) = (x - 2)^2. Now let's set up the integrals needed to find the areas.
Area 1:
Area 2:
Therefore, the area of the shaded portion of the graph is
A = A1 + A2 = 5.34