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The figure shows the parabola y = x² and the roof-shaped graph y = 3 - 2|x|. What is the area of the shaded region between them?
Mathematics
Hard
High School (11–12)
Functions and Calculus › Application of Integrals
A-Level
AP
IB
Created by
StemPy Lab
The figure shows the parabola
y
=
x
2
y = x^2
y
=
x
2
and the roof-shaped graph
y
=
3
−
2
∣
x
∣
y = 3 - 2|x|
y
=
3
−
2∣
x
∣
. What is the area of the shaded region between them?
Fig. 1: The parabola y = x squared, in blue, and the roof-shaped graph y = 3 - 2|x|, in orange, with a peak at (0, 3). They meet at the red dots (-1, 1) and (1, 1). The region between them is shaded.
7
3
\dfrac{7}{3}
3
7
20
3
\dfrac{20}{3}
3
20
5
3
\dfrac{5}{3}
3
5
10
3
\dfrac{10}{3}
3
10
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The figure shows the parabola y = x² and the… | StemPy Lab