Graph the quadratic function f(x)= -2x^2 + 6x - 2
2 answers:
Answer:
see below for a graph
Step-by-step explanation:
The function can be rewritten to vertex form to aid in graphing.
f(x) = -2(x^2 -3x) -2
f(x) = -2(x^2 -3x + 2.25) -2 +4.50 . . . . . . add (3/2)^2 inside parentheses and subtract an equivalent amount outside parentheses
f(x) = -2(x -1.5)^2 +2.5
The vertex is located at (1.5, 2.5), and the vertical scale factor is -2. The point (3, -2) will be another point on the graph, along with the y-intercept (0, -2) and the vertex (1.5, 2.5).
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Answer:
Area = 2500 square feet is the largest area enclosed
Step-by-step explanation:
A rectangular piece of land borders a wall. The land is to be enclosed and to be into divided 3 equal plots with 200 feet of fencing
Let x be the length of each box and y be the width of the box
Perimeter of the box= 3(length ) + 4(width)
solve for y
divide both sides by 4
Area of the rectangle = length times width
Now take derivative
Set it =0 and solve for x
multiply both sides by 2/9
For any value of x, second derivative is negative
So maximum at x= 100/3
, replace the value of x
Area = 2500 square feet is the largest area enclosed