How would the parent function y = I x I will change if I want to move the graph 4 units to the right? What will be the new equation?
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Directions: Using the graph of each function, identify the parent function, then write an equation for the function under each transformation. 11. a) Parent Function: b) Translate 4 units down and 3 units left c) Vertically stretch by a factor of 2, then translate 5 units left: 12 a) Parent Function: b) Translate 3 units up and 8 units right: c) Horizontally compress by a factor of %, then reflect in the y-axis a) Parent Function: 13. b) Horizontally stretch...
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...
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...
how
do you these questions? i need help please
Absolute Value Functions Name: 1. Sketch the graph of the function. State the intercepts, and the domain and range. f(x) = 12x +11 2. Write the following as a piecewise function a. y = 15x +11 b. y = 1-2(x+3)(x - 1)
10 5+ -10 10 -104 The graph of f(x) = 2 is shifted down 5 units, and shifted left 2 unit. a) Write an equation for the new transformed function. b) What is the y-intercept of the new function? c) What is the domain of the new function? d) What is the range of the new function? e) Graph the function showing the y-intercept and one other point Solve the following equation. (4) logs(x+2)+logs (x-2)=2 DLL
I need help with these two problems, I know how to find the
phase shift I got pi/4, and for the first question I know it shifts
to the right and the second problem shifts to the left, but I want
to know how you determine whether the shift is moving left or
right
Two graphs that depict a one dimensional water wave, as a function of position, at two separate times (at 1-0 s and t = 1.0 s)...
Write a logarithmic equation corresponding to the graph shown. Use f(x) = log (x) as the parent function. y = X y 8 6 4 NO x -8 -6 - 4 -2 2 4 6 8 (-2, -3) -6 Note that the equation of the given graph will be of the form f(x) = a logo function y = logb(x), and compare the x-intercepts and vertical asymptote identifiable intentheah halte determine the constanta
Problem 2. The picture shows a graph of the electric potential in a region of space where the electric field is parallel to the x-axis. AV(x), Volts 200 a) Draw a graph of Ex versus x. 100 b) Label the maximum and minimum electric field on the y-axis of your graph (including units). .x, m 2 c) If an electron is placed at x = 4 m, what it would do? 3 4 5 6 7 8 -100H A. Stay...
119 Reference Page - PRECALCULUS AND COLLEGE ALGEBRA Starting with the reference function y=x2, rewrite the function and plot, based on the adjustments given. 1. Translate the reference function left. New function, y--- 2. Translate the reference function 3 down and 4 right. New function, y=--- 3. Translate the reference function 4 left and reflect about x axis. New function, y=- 120 - Reference Page PRECALCULUS AND COLLEGE ALGEBRA Starting with the reference function y=x3, rewrite the function and plot,...
In this section we have seen how more complicated functions can be built up from func- tions y = f(x) of the type given in Figure 2.2.1 by transformations. In some texts the beginning, or simpler, function is called the parent function. In Example 5 the square root function f(x) = Vx is the parent function for y = 2 - 2Vx - 3. e modo selected odd-numbered problems begin on page ANS-3. In Problems 1-10, determine whether the given...