Consider these functions: f(x) = 3 and g(x) = 3+2-5
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- The parent function of f(x)= |x| is transformed into g(x) = - |x-1| +3 Using complete sentences describe ALL transformations that occured.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 tableLet f(x) = x^2 . Describe a series of transformations which could map f(x) onto g(x). Then write an expression for the function g(x).
- Describe the transformations on f(x) (points at (0, 0) and (4, 2)) to form g(x) (points at (-3, -2) and (1, 2)), shown in the image.The function g(x)=4∣x+1∣−2 is obtained by a applying a sequence of transformations to y=∣x∣. List the sequence of transformations in a correct order.Select all of the transformations from f(x) to g (x). f (x) = x^2and g (x) = - (x + 1)^2 - 12
- Use the graph of y = f(x) to find the open intervals on which the graph of each transformation is increasing and decreasing. If not possible, state the reason.Consider the function equals (x, y) = 1 if x = y, = 0 if x ≠ y. Show that this function is primitive recursive.State the transformations that have been applied to the function g(x)=-[2(x-4)]^3 -5 (Reflections, translations etc)