2. State the transformations that were applied to the parent function y = f(x) to obtain...
9. Complete the following table. State the transformations applied to the graph of y = r' to obtain the graph of each quadratic relation. (3marks) Equation Vertex Dir. Of Vert: Str/Comp Translation opening Ref. in x-axis? Hor(h), Verk) x=0) Y = 0.5(x-5)2 - 20 #of y-int." Zeros
Given the function f(x) = -2x? +12x - 5, describe the transformations compared to the parent function y = x2. A. f(x) is shifted 3 right, up 13 and then reflected over the x-axis. B. f(x) is shifted 3 left, down 13 and then reflected over the x-axis. C. f(x) is shifted 3 right, down 13 and then reflected over the x-axis. D. f(x) is shifted 3 left, up 13 and then reflected over the x-axis.
Begin by graphing the absolute value function, f(x)= |x|. Then use transformations of this graph to graph the given function. g(x)-3 x-2| +4 What transformations are needed order to obtain the graph of g(x) from the graph of f(x)? Select all that apply. A. Vertical shift B. Reflection about the y-axis C. Vertical stretch/shrink D. Horizontal shift E. Reflection about the x-axis F. Horizontal stretch/shrink Choose the correct graph below. O C. O D. O A. ОВ. A V 40...
9. Graph the function defined by f(x) = 2 x +1 -3. Parent function: f(x) = x 1. f(x) = 2x +1 -3 Shift the graph to the left 1 unit 2. f(x) = 2 x +1 -3 Apply a vertical stretch multiply the y-values by 2) 3. f(x) = 2x+1-3 Shift the graph downward 3 units. 10. Graph the function defined by = (x) = -V3- x. Parent function y = x
7. State (and explain) whether these are monotonic transformations or not for the utility function u = (x,y). f(u) = 3.14u f(u) = 5000-23u f(u) = 1/u2
3. Write a function based on the given parent function and transformations in the given order. Parent function y = \xl| Shift 4.5 units to the left Reflect over the y-axis Shift downward 3 units
Find the function that is finally graphed after the following transformations are applied to the graph of y = x in the order listed (1) Shift up 4 units (2) Reflect about the x-axis (3) Reflect about the y-axis y=0
A function fis given, and the indicated transformations are applied to its graph (in the given order). f(x) = x; reflect in the x-axis, shift 8 units to the right, and shift upward 6 units y-
[21 Marks] APPLICATIONS: 1. Sketch the graph of y = -2(0.5) +5. [6] Parent function: y = 0.5 y=-2(0.5)' +5 у у х -3 -2 -1 0 1 х -3 -2 -1 0 1 State the following for the graph y = -2(0.5)* +5 Equation of the horizontal asymptote: y-intercept Range APPLICATIONS: [21 Marks] 1. Sketch the graph of y = -2(0.5)* +5. [6] Parent function: y = 0.5% y = -2(0.5)* +5 у у х -3 -2 -1 0...
Suppose the point (2, 4) is on the graph of y = f(x). Find a point on the graph of the given function. 21) y=3f(x - 2) - 5 A) (4, -3) B) (0, -3) (7) D) (4,7)