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Question 19 Extra credit. 1. Given w (2) = (x + 11 – 3 a) Identify the parent graph and describe the transformation. b) Graph using transformations. 2. Write the expression 3 log5 (x) – 2 logs (y) + log5 (x) as a single logarithm.
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...
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...
3. Find the domain of the function f(x)--2logs (x +3) - 2 Was this domain difficult to find? If so, why? If not, why might someone else find it difficult? List the transformations in their correct order, starting with the parent function a) Parent function: b) Frist transformation c) Second transformation d) Third transformation e) Fourth transformation
3. Find the domain of the function f(x)--2logs (x +3) - 2 Was this domain difficult to find? If so, why? If not,...
(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.
11. (5 pts) The graph of y = f(x) is given. In the same system, draw the graph of y = -f(x + 3) by applying the techniques of graph transformation.
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
. Given that the domain off(xis-2 i Let f ( ) be function ) and range is-10 x a 6 . that the point (3, f(x): is on the graph of f(x), answer the following questions for the various transformations of (a) For the transformation fx-1) i. describe how its graph relates to the graph of f(x). ii. find the domain. ii. find the range. iv. find a point that must be on the graph. v. Did the order of...
Identify the parent function of the function whose graph is shown below. 3 2 -8-7-6---5 -3-2 0 3 4 5 6 -4 -5 -6 -7 Select the correct answer below: O ) = b O f(x) = mx + b O Of(x) = x Is the function shown in the graph below even, oddſor neither? 7 6 5 4 3 f 1 -10 0 -9 00 -7 -6 -5 4 -3 -2 -1 0 1 2 3 4 5 6...
Given the function f(x) = -2x? +12x - 5, describe the transformations compared to the parent function y = x2. A. f(x) is shifted 3 right, up 13 and then reflected over the x-axis. B. f(x) is shifted 3 left, down 13 and then reflected over the x-axis. C. f(x) is shifted 3 right, down 13 and then reflected over the x-axis. D. f(x) is shifted 3 left, up 13 and then reflected over the x-axis.