Concept explainers
Describing Transformations Explain how the graph of g is obtained from the graph of
(a)
(b)
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College Algebra
- (b)Explain even and odd function with example? Determine whether the f(x) = (c) Graph f(x) -2(x+ 2) -1 using graphing technique 3r is even or not.arrow_forwardShifting a graph Use a shift to explain how the graph of f1x2 V-x? + 8x + 9 is obtained from the graph of g1x2 V25 – x². Sketch a graph of f.arrow_forwardUse the graph to evaluate each expression. (a) (f+g)(-2) (b) (f - g)(1) (c) (fg)(0) (d) (1) (a) (f+g)(-2) = Z 4- 24 4- [y=f(x) -y-g(x) ► O Narrow_forward
- The graph of y=4f(x−5) is the graph of y=f(x) Describe transformations of graphsarrow_forwardSketch the graph of b, c and g based on the graph shown below Use the graph off to sketch each graph. (a) y=f(x - 5) (c) y = f(x) (e) y-f(-x) (g) y-f(x) (b) y = -f(x) + 3 (d) y = -f(x + 1) (1) y = -f(x) - 10 12 S 8 (-3,0), +|||||▬▬▬▬▬▬▬▬ -16 -12 -8 (-6,-4) -4- -8 -12- (0,5) + (3,0) 8 (6,-4) 12 16 ➤Xarrow_forwardGraph the functions on the same screen using the given viewing rectangle. Viewing rectangle [−8, 8] by [−6, 6](a) y = |x| (b) y = −|x| (c) y = −4|x| (d) y = −4|x − 2| How is the graph in part (b) related to the graph in part (a)? If a graph is not supposed to be stretched or shrunk, enter "1" in the corresponding box on the right. If a graph is not supposed to be shifted in some direction, enter "0" in the corresponding box on the right. Reflect? Reflect across the x-axis Reflect across the y-axis Do not reflect Stretch/Shrink vertically? stretch vertically shrink vertically neither stretch nor shrink vertically by a factor of Stretch/Shrink horizontally? stretch horizontally shrink horizontally neither stretch nor shrink horizontally by a factor of Shift up/down? shift up shift down do not shift up or down units Shift left/right? shift left shift right do not shift left or right units How is the graph in part (c) related to the…arrow_forward
- Ch1 (16) - Graph the function F(x)=1/2x-4. Use a line to draw the line x=4 and then use a dot to graph the point (4,f(4)).arrow_forwardSelect the choice that is a graph of the function (z+ 3)(z - 3) (++2) - (1 – 1) f(=) =arrow_forwardUse the graphs of functions f and g to answer the problem. (f + g)(-4) (f + g)(-4)= y f(x) V x y да g(x)arrow_forward
- Transformations Applied Mapping Statement a) k(x) = f(x) - 2 b) m(x) = 1/3 f(x) c) h(x) = -f(-2x - 4)arrow_forwardThe graphs of two functions, f and g, are illustrated. Use the graphs to answer parts (a)–(f). y=g(x) |(2, 2) (4, 1) (6, 1) (6, 0) 22, 1) 2 (3, –2) (5, –2) (4, –3) (a) (f+ g)(2) (b) (f + g) (4) (c) (f – g) (6) (d) (g – f) (6) () ()(4) (e) (f•g)(2) 2.arrow_forward2. Find traits and sketch the graph the equation for a function g (x) that reflects the function f (x) = x (x + 3) (x – 2)² over the x-axis and shifts it two units to the right. Label and scale your axes. • Domain: • x - Intercepts: • y - Intercept: End Behavior: Range:arrow_forward
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