1. Describe how the graph of the function can be obtained from one of the basic graphs: y = x y = a2 y = V y = r y = V y y = |x| %3D (a) f(r) = (r+3)2 (b) f(x) = x² +3 (c) f(r) = r -

Q: Use the graph of y = f(x) to graph the given function g : g(x) = f(x + 1) + 2

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Q: Use the given graph of y = f(x) to graph the function g : g(x) = f(x - 2)

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Q: Use the graph of y = f(x) to graph the given function g : g(x) = f(1/2x)

A: Given, The graph of y=f(x) is We have to find the graph of a function  g : g(x)=f(x/2) using…

Q: Use the graph of y = f(x) to graph the given function g : g(x) = f(-x)

A:

Q: 5.) Sketch the graph. f(x) = x³ + x² – x +1 %3D

A: The graph of a polynomial of 3 degree has at most  2 turns and 3 intersections with the x-axis. If…

Q: 2. Find (fo g)(x), (g o f)(x) and the domain of each new function. a. Let f (x) = 4x² – x + 10 g(x)…

A: Here, we have given some functions and we have to find composite function and domain of these…

Q: Use the given graph of y = f(x) to graph the function g : g(x) = 1/2f(2x)

A: Using the given graph of y=f(x) : We are to graph the function g: gx=12f(2x)

Q: -4 8. Find the domain of f(x)= and x-2 sketch the graph.

A: The denominator can not be 0 So domain is all real numbers except x=2   Answer: Domain = (-∞, 2) U…

Q: If the point (1,4) lies on the graph of y = f(x), then the y-coordinate of the corresponding point…

A: Given that (1, 4) lies on the graph y = f(x)  Therefore f(1)= 4  Transformations of this graph is y…

Q: Use the given graph of y = f(x) to graph the function g : g(x) = - 1/2f(x - 2) + 2

A: Given: Graph of y=f(x) To determine: Graph of g(x)=-12f(x-2)+2

Q: Write a function of a square root BLUE graph in the form: f(x) = a/x±b ± C (4, 2). |(-2, –3) (2, –7)…

A: The vertical shift in the graph of y=f(x) is represented by the transformation function, y=f(x)±n.…

Q: Use the graph of y = f(x) to graph the given function g : g(x) = f(x) + 1

A: g(x) = f(x) + 1 Using the graph of y we need to draw the graph of g(x).

Q: Find f(0), if f(x)=3 – 5x + x2.

A: Given function is, fx=3-5x+x2. The objective is to find the f0. Function is described as the special…

Q: Sketch the graph of the function. f(x, y) = 9x²9y² X Z Z y y X₂ X₂ N Z y y

A: The given function is fx, y=9-x2-9y2. We have to sketch the graph of the function.

Q: The accompanying graph is a sketch of the function y f(x) over the interval 0<xS7.

A: (fof)(x)=f(f(x))so that  f(f(6)) = f(2) because f(6) = 2