(1 point) Given f (x)r, after performing the following transformations: shift to the left 28 units,...
Given f(x) = x2, after performing the following transformations: shift upward 50 units and shift 11 units to the right, the new function g(x) =
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...
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)
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...
Let (x) after the following sequence of transformations: x)=. Find a formula for a function g whose graph is obtained from the graph of y • Shift left 5 units. • Reflection across the y-axis. . Shift down 2 units. • Vertical scaling by a factor of 4. • Reflection across the x-axis. 90x) -
the question is: if we begin a graph of f(x)=the square root of x, shift 4 units to the right, shrink vertically by a factor of 1/2 , and shift upward 10 units, write an equation for the transformed graph. so far I have: (the square root of x)- 4(four units to the right) + 10( 10 units upwards) I do not know how to do with the part that says shrink vertically by 1/2
please step by step with explanation help with
#1,3,10,11,20,23,29,32a
1. Suppose the graph of f is given. Write equations for the graphs that are obtained from the graph of f as follows. a. Shift 3 units upward. Answer + b. Shift 3 units downward. Answer c. Shift 3 units to the right. Answer + d. Shift 3 units to the left. Answer e. Reflect about the z-axis. Answer Answer d. Shift 3 units to the left. Answer + e. Reflect...
+5 is shifted left units, stretched vertically by a factor of 8, reflected about the x-axis, and then shifted downward 5 units. What is the equation of the new The graph of X) - function, gx)? g) - X State the y-intercept of gix).
please answe a and b
6. The graph y-f(x) is translated 4 units up, 3 units right and vertically stretched about the x-axis by a factor of 1/3 and horizontally stretched about the y-axis by a factor of 1/2. a) Following the appropriate order of transformations, using graph paper, re-draw the original function and then draw the graph of the new function. (upload your answer to motivis). b) Following the appropriate order of transformations, write the equation of the new...
Find the function that is finally graphed after the following transformations are applied to the graph of y = xx in the order listed. (1) Reflect about the x-axis (2) Shift down 5 units (3) Shift left 4 units