Suppose the point (2, 4) is on the graph of y = f(x). Find a point...
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)
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...
A point on the graph of y=f(x) is (2,4). the corresponding point on the graph of y=f(2x) is:
(1 point) (a) The graph of a function y- f(x) is shifted up 2 units. Find an equation for this shifted function in terms of the function f(x) For example, y = 10/(9x + 8) + 7. help (equations) (b) The graph of the function y 2 is shifted up 2 units. Find an equation for this shifted function. ihelp (equations) (c) The graph of a function y = g(x) is shifted down 5 units. Find an equation for this...
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) -
Below is the graph of y = f(x). Find the function of the transformed graph. 1 2 -2 -2+ - 4 O f(x + 3) - 3 o-f(x+3) o-f(x) 3 O -f(x - 3) O -f(x) + 3
14. Suppose that f(x) is continuous on (60,-) Given the graph y = f'(x) below, find the following: y = f'(x) In (None may be an answer): Find the number lines of f'&f" 1. relative maximumat x= 2. relative minimum at x= 3. The graph of y=f(x) has points of inflection at x= -&x= (Enter a number from smallest to largest x-value.)
#4 On an attached piece of graph paper, draw and scale an x-and y-axes. Draw two shapes that are not symmetrical and label these A and B. Draw the reflection of each shape across the x-axis, label these c and D. Draw the result of rotating the original shapes 180 degrees around the origin, label these E and F Consider a line segment from the origin to point (1,4) as reference. Draw the result of translating the original shapes in...
Complete the sentence below Suppose that the graph of a function g is known. The graph of y-gx)-2 may be obtained by a shift of the graph of ga distance of 2 units. Suppose tnat the graph of a tunction g is known The graph ofy -0-2may be otained bysht of the graph of shft of the graph ofg a stance of 2 unts V a distance of 2 units Complete the sentence below Suppose that the graph of a...
(1 point) Find a formula for a function g(x) whose graph is obtained from f(x) by horizontally stretching by a factor of 7, reflecting across the z-axis, and shifting down 5 units. g(x) = |-7abs(x)-5