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- Suppose the graph of f(x) = x3is compressedvertically using a factor of 1/3and then shifted to theleft 5 units. What is the equation of the new graph?Verify the result graphically.Calculate the horizontial and vertical asymptotes of the following: y=x+3/x^2+2x-8 y=3x^2-5/2x^2-41. Center at (-3, 9), a vertex at (-6, 9), and conjugate axis of length 8. 2. Asymptotes at y = 5/3x - 29/3 and y = -5/3x + 11/3 and a vertex at (1, -3).
- If a rectangle has its base on the x-axis and two vertices on the curve y=e^-x^2, show that the rectangle has the largest possible area when the two vertices are at the points of inflection of the curve.Suppose the graph of f(x) = 1/xis stretched vertically by a factor of 4 and then shifted down 3 units.What is the equation of the new graph? Verify theresult graphically