5. A graph of the function fx= x3-3x2 shown below. Each of the following graphs (a-d) show a function transformed from this one. Find a formula for each function. Explain how the function was changed. (1.25 pts)
For 1st graph :
When compared to the graph of f(x) = x3 - 3x2, it is shifted 1 unit towards left i.e.towards negative side.
So, k(x) = (x+1)3- 3(x+1)2 = x3 - 3x - 2
For 2nd graph :
When compared to f(x), graph has shifted towards positive y axis by 1 unit and positive x axis by 2 units.
So, y - 1 = (x-2)3 - 3(x-2)2 = x3 - 9x2 + 24x -20
t(x) = y = x3 - 9x2 + 24x - 19
5. A graph of the function fx= x3-3x2 shown below. Each of the following graphs (a-d)...
5. A graph of the function fx= x3-3x2 shown below. Each of the following graphs (a-d) show a function transformed from this one. Find a formula for each function. Explain how the function was changed. (1.25 pts) f(x) = x 3x Foo) (3,0) (-1,-4) (2,-4) 8(x) = h(x) = (0, 2)i |(3, 2) 2 -4--442444 (-1,-2) (2,-2) 0,0) 2(3,0) x (2,-2) (-1,-2) a. b. (1.25 pts) (1.25 pts)
4. Consider the graph of the function f shown below. Use this graph to sketch the graphs of the following functions. To print an enlarged copy of the graph, go to the website www.mathgraphs.com (a) f(x) (c) 2f(x) 4 (d) fx) (f) f(x) (e) -f() (g) f(x) 2 4 -2 -4
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