The figure shows the graph of y = ax²+bx+c. Suppose that the points (-h.yo). (0.0₁), and (h.y2) are on the graph. The area enclosed by the parabola, the x-axis, and the lines x= -h and x = h may be given by the formula below. Find the area enclosed by f(x)=x² + 3x +6, the x-axis, and the lines x = -4 and x = 4. h Area ==(Yo +4y₁ + y2) The area is (Type an integer or a fraction.) (-h.yo) Q (m2) a (0.y₁)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 58E
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Kk.313.

 

The figure shows the graph of y = ax²+bx+c. Suppose that the points (-h.yo).
(0.0₁), and (h.y2) are on the graph. The area enclosed by the parabola,
the x-axis, and the lines x = -h and x = h may be given by the formula below. Find
the area enclosed by f(x) = x² + 3x + 6, the x-axis, and the lines x = - 4 and x = 4.
h
Area =(Yo +4y₁ +Y2)
The area is (Type an integer or a fraction.)
(-h.yo)
(n.) a
(0.Y₁)
Transcribed Image Text:The figure shows the graph of y = ax²+bx+c. Suppose that the points (-h.yo). (0.0₁), and (h.y2) are on the graph. The area enclosed by the parabola, the x-axis, and the lines x = -h and x = h may be given by the formula below. Find the area enclosed by f(x) = x² + 3x + 6, the x-axis, and the lines x = - 4 and x = 4. h Area =(Yo +4y₁ +Y2) The area is (Type an integer or a fraction.) (-h.yo) (n.) a (0.Y₁)
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