Function Transformations Which of the following functions match the graph to the right? Of(x) = |2...
5. Graph the following by: (a) identifying the mother function (b) list the transformations (c) Graph each function with its' transformations: i. f(x) = -VX + 2 ii. g(x) = 3(x - 2)3 + 1 6. Let f(x) = 2x – 7, g(x) = x2- 5, and j(x) = 2x=1 Find (fºj)(x), simplify your answer completely a. b. Find (jºg)(-3) 7. Find the inverse of the following function: f(x) = ***
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...
2.5.63-Setup & Solve Use transformations of f(x) = x? to graph the following function. g(x) = 4(x + 5)2 +4 Select all the transformations that are needed to graph the given function using f(x) = x? A. Shift the graph 5 units to the right. B. Reflect the graph about the x-axis. C. Reflect the graph about the y-axis. D. Shift the graph 5 units to the left. E. Stretch the graph horizontally by a factor of 4. F. Shrink...
match the graph of the function Match the graph of the function on the right with the graph of the derivative Choose the correct graph of the function (in blue) and is derivative in red below OD Ос. ba -10
Question 3 Given the function y=x, apply the following transformations and match to the appropriate transformed function. A. y=x²+4 - - Shifty to the right 4 units. Shifty to the left 4 units. B. Y=(x-4)2 - Shift y down 4 units. c.Y= - 4x2 Shift y up 4 units. d.y=x2-4 . • Reflect y across the y-axis and vertically stretch by a factor of 4 4 Vertically stretch y by a factor of 4. E. Y=4x2 F. y=(x +4)
The graph of the function is shown to the right. Match the function with the correct graph. g(x)=x-3) YEN OA OB Oc OD Ay do ck to select your answer. MacBook Air
6. Match the following equations to the graph that represents it. [4 Points] Equation A: y = x2 + 2 Equation B: y = -x + 2 Equation C: y = (x - 2)2 Equation D: y = 2x2 y 37 Y 3 -3 3 X -3 LL 3 3 x -11 Equation: Equation: Equation: Equation: 7. Let f(x) = Vx. Write the equation for the resulting function when the following transformations are performed in order) onf (x): [3 Points]...
The graph to the right is the result of applying a sequence of transformations to the graph of one of the six basic functions. Identify the basic function and describe the transformation verbally. Write an equation for the given graph. TU What is the basic function? O A. Cube function mix) = x OB. Absolute value function gix)=x| OC. Square root function nix) = x OD. Cube root function p(x) = x O E. Identity function f(x)= x OF Square...
2. The graph of a function, f(x), is provided to the right. 2 Use this graph to answer each of the following questions. (a) You are also told that f(x) passes through (1, 0.8). -4-3-2f11 1 2 3 Find the equation of f(x), where you use the smallest degree possible. -2 (You can write your answer in factored form.) [6 pts] -3 -4 -5 -6 -7 -8 -9 (b) Based on the graph, describe the end behaviors of f(x). [2...
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