Graphing Transformations of Absolute Value Functions e graph f(x) = |a| is shown below. Let g(x) be a transformation of f(x) shifted down 5 ar zw the graph of g(x) and write its formula below.
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Given:
f(x)=|x|
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- If f(x) has a domain x ≤ -1 and range y≥-1, then determine the domain and range of g(x) given that g(x) =-f(3-2x) +1. Use a transformation table (I.e. a table to determine the domain and range of g(x) (Attached an image of how the table looks like for reference, it is a table for a different problem! ) Thank you!Transformations of f (x) =x2 Use shifts and scalings totransform the graph of f(x) =x2 into the graph of g. Use agraphing utility to check your work.a. g(x) = f(x - 3) b. g(x) = f(2x - 4)Provide an equation of one of the common functions with multiple transformations. For example, f(x) = (x - 2)2 + 3. DO NOT USE EXAMPLE GIVEN Give the basic function and it's properties, as well as, the transformations utilizing transformation vocabulary (horizontal shift, vertical shift, reflection, etc.) Additionally, provide a picture of the graph of the example from desmos (Links to an external site.). Note: You are not to copy and paste from a website nor use the example given.
- Provide an equation of one of the common functions with multiple transformations. For example, f(x) = (x - 2)2 + 3. Give the basic function and it's properties, as well as, the transformations utilizing transformation vocabulary (horizontal shift, vertical shift, reflection, etc.) Additionally, provide a picture of the graph of the example from desmos (Links to an external site.).How is graph of g(x)=f(kx) related to the graph of f when k=5? The graph of g is a horizontal stretch of the graph of f. The graph of g is a vertical stretch of the graph of f. The graph of g is a horizontal compression of the graph of f. The graph of g is a vertical compression of the graph of f.Describe the discontinuities of f (x)= (x^2+x-6)/(x^2-5x+6) Find an equivalent form for f that shows how the graph of f is related to the graph of y=1/x Describe the relationship.
- Construct a graph of the function y=f(x) using the graph of the function y=g(x) picture and verbally describe which transformation of the original graph will result in the resulting graph. It seems like there should be more steps of tranformin the original graph. But can't find out the right method of construction, which can be verbally described.Will you help me please? Thank you.A function g is given. Identify the parent function. Then use the steps for graphing multiple transformations of functions to list, in order, the transformations applied to the parent function to obtain the graph of g. g(x) =1/5 (x + 1.3)2 - 2.5 Select one: a. Parent function: f (x) = x2; Shift the graph of f to the right 1.3 units, stretch the graph vertically by a factor of 5, and shift the graph upward by 2.5 units. b. Parent function: f (x) = x2; Shift the graph of f to the left 1.3 units, shrink the graph vertically by a factor of , and shift the graph downward by 2.5 units. c. Parent function: f (x) = x2; Shift the graph of f to the left 1.3 units, strech the graph vertically by a factor of 5, and shift the graph downward by 2.5 units. d. Parent function: f (x) = x2; Shift the graph of f to the right 1.3 units, shrink the graph vertically by a factor of , and shift the graph upward by 2.5 units.Describe how the graph of the function is a transformation of the graph of the original function f. y = f(x − 2) + 4 A The graph of y = f(x − 2) + 4 is a horizontal shift to the right 2 units and a vertical shift up 4 units of the graph of f. BThe graph of y = f(x − 2) + 4 is a horizontal shift to the left 2 units and a vertical shift up 4 units of the graph of f. CThe graph of y = f(x − 2) + 4 is a horizontal shift to the left 4 units and a vertical shift up 2 units of the graph of f. DThe graph of y = f(x − 2) + 4 is a horizontal shift to the right 4 units and a vertical shift up 2 units of the graph of f.
- A function f is given, and the indicated transformations are applied to its graph (in the given order). Write the equation for the final transformed graph f(x)=|x|; shift 8 units to the left and shift downward 7 units. y = f(x) = |x| ; reflect in the x-axis, shift 7 units to the right, and shift upward 4 units y= f(x)=x^ 2 stretch vertically by a factor of 8, shift downward 8 units, and shift 4 units to the right y=Use f(x)=x^3-2x^2+x and g(x)=3f(x+1)-2 to do the following a) Obtain a graph of f(x)using your graphing calculator. Include the graph in your work. Explain your reasoning when determining the WINDOW you used to graph the function. b) List the transformations of f(x)to obtain g(x). c) Simplify g(x) using algebraically.