Starting with the graph of f(x) = 2^x, write the equation of the graph that results from reflecting f(x) about the y-axis
Starting with the graph of f(x) = 6", write the equation of the graph that results from (a) shifting f(x) 8 units downward. y = Preview (b) shifting f(x) 5 units to the left. y = Preview (c) reflecting f(x) about the x-axis and the y-axis, y = 2 Preview
Consider the graph of y m e. 8. (a) Find the equation of the graph that results from reflecting about the line y (b) Find the equation of the graph that results from reflecting about the line x -3. Question from 1.6: Inverse Functions and Logarithms A function is given by a verbal description. Determine whether it is one-to-one. The function f(t) is the height of a football t seconds after kickoff. D Yes, it is one-to-one. O No, it...
Explain how the graph of f can be obtain from the graph y=1/x .f(x)=(-1/x-2)-2the graph can be obtain from y=1/x by reflecting across the x-axis , and shifting it how?
Graph the function f(x)-x2 +2x -4 by starting with the graph of y x2 and using transformations (shifting, stretching/compressing, and/or reflecting). Use the graphing tool to graph the function. Click to enlarge graph
Write an equation for a function whose graph fits the given diescription. The graph of f(x) = x is shifed three units left and reflected about the x-axis.
11. Write the equation for the graph of g(x) as a transformation of the equation for the graph of f(x). 8 g(x) 6 4 f(x) 2 4 -20 2 2 12. Consider the graph of y = f(x). Sketch the graph of each transformation. y y = f(x) ob 6 4 21 a) y= {fl-(x + 2)) b) y - 2 = -f(2(x - 3)) c) y - 1 = 3f(2x + 4)
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...
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
Write the equation of a graph that has the shape y=x^3 but has been reflected over the x axis and shifted to the left by two units
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...