The graph of Fx), shown below, resembles the graph of G(x) = x2, but it has
1 answer:
Answer:
F(x) = -3(x + 2)² - 2
Step-by-step explanation:
In the picture attached, the graph is shown.
F(x) has the form a(x - h)² + k, where (h, k) is the vertex of the parabola. We can see in the graph that the vertex is located at (-2, -2), then F(x) = a(x + 2)² - 2. If a > 0 the parabola opens upward, if a < 0 the parabola opens downward. We can see in the graph that the parabola opens downward, then the correct answer is F(x) = -3(x + 2)² - 2
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Let
x---------> the length side of the rectangular area
y---------> the width side of the rectangular area
we know that
the area of the rectangle is equal to
-----> equation
The perimeter of the rectangle is equal to
but remember that the fourth side of the rectangle will be formed by a portion of the barn wall
so
-----> equation
<em>To minimize the cost we must minimize the perimeter</em>
Substitute the equation in the equation
Using a graph tool
see the attached figure
The minimum of the graph is the point
that means for
the perimeter is a minimum and equal to
<u>Find the value of y</u>
The cost of fencing is equal to
therefore
<u>the answer is</u>
the length side of the the fourth wall will be
