6. Letf(x) e3 (a) Which describes how the graph of / can be obtained from the graph of y e? A. Shift the graph of y e to the left by 1 unit and down by 3 units. B. Shift the graph of y e to the right by 1 unit and down by 3 units. C. Reflect the graph of y e across the x-axis and shift up by 3 units. D. Reflect the graph of y-e across the...
5) Suppose you have the graph of the function f(x). To obtain the graph of the function g(x) = 2 + f(x-3), you must do what to the graph of f(x)? a) Shift up 3 units b) Shift right 2 units c) Shift up 3 units and left 2 units d) Shift up 2 units and right 3 units e) Shift up 2 units and left 3 units f) Shift down 2 units and left 3 units
B and C Please! Rate for sure Letf be the function given by f(x)--16x2 +64x and let line l be the line tangent to the graph off atx-2, as shown in the figure to the right. Let R be the region bounded by the graph of f and the x-axis and let S be the region bounded by the graph of f line I, and the x-axis. a. Find the equation of line 1 C2- 64+61-12 - 72 C2,72 b....
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...
How does the graph of g(x) = (x + 5)2 – 9 compare to the parent function f(x) = x3? g(x) is shifted 5 units to the left and 9 units down. g(x) is shifted 9 units to the left and 5 units down. g(x) is shifted 5 units to the right and 9 units down. g(x) is shifted 9 units to the left and 5 units up.
Let f(x) = -9 logo (x + 3) + 5. Graph f(a) using transformations. (a) Identify the transformations used to graph f(x). Select all that apply. horizontally stretched vertically stretched shifted right 3 units shifted left 3 units vertically compressed shifted up 5 units reflected over the y-axis shifted up 5 units shifted down 5 units shifted left 5 units reflected over the z-axis shifted right 5 units shifted down 5 units horizontally compressed (b) Identify the important point of...
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) -
Show work thumbs up VII. Functions Find the Domain of each function. f(x)--/-x2-4x + 5 g(x)-In(4t-3) a) b) e) h(x)- +3x2 -x-3 Find the zeros, vertical asymptotes, and horizontal asymptotes f(x) = 3x"-14x-5 (4x-17x-15 6x2 -7x-5 f(x) = -12 万 b) Transformations a) Beginning with f(x)- Vx, find the function g(x) that shows fcx) shited to the let 2 units, reflected over the x-axis, and then shifted up 7 units. b) Beginning with f(x)find the function g(x) that shows f(x)...
(3) (3 points each) Given the parent function f(x) = 1, write down the function whose graph satisfies the given description in each case: (a) The graph of f shifted 0.8 units up and 3 units to the right. (b) The graph of f shifted 2 units to the left and then reflected through the x-axis.
9. Graph the function defined by f(x) = 2 x +1 -3. Parent function: f(x) = x 1. f(x) = 2x +1 -3 Shift the graph to the left 1 unit 2. f(x) = 2 x +1 -3 Apply a vertical stretch multiply the y-values by 2) 3. f(x) = 2x+1-3 Shift the graph downward 3 units. 10. Graph the function defined by = (x) = -V3- x. Parent function y = x