Consider the functions y=sin(x)-3 and y = cos(x) + 4. (Do not graph them yet.) A....

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Consider the functions y=sin(x)-3 and y = cos(x) + 4. (Do not graph them yet.) A. How do you think the graphs of y=sin(x)-3 and y= cos(x) + 4 differ from the graphs of their parent functions, y=sin(x) and y= cos(x)? (Complete the sentences.) The graph of y=sin(x)-3 is. The graph of y = cos(x) + 4 is Graph y= sin(x)-3 and y= cos(x) + 4 in the Gizmo to check your answers. B. Vary k for both sine and cosine. In general, how does k change the graphs? Next, set k to 0, and h to 0.5x, to graph y=sin(x-0.5.). A. One of the maximum points on y= sin(x) is at (0.5x, 1). Where is this maximum on the graph of y=sin(x-0.5x)? Check in the Gizmo. B. Next graph y sin(x+0.5x). How does this graph differ from the graph of y=sin(x)? This is a vertical shift. C. How do you think the graph of y= cos(x-0.25) will differ from that of y = cos(x)? Check in the Gizmo. D. Vary h for sine and cosine. The value of h translates a graph left or right. (This is a phase shift.) In general, how do you know which direction h will move a graph? Write a function for each graph below. Then graph your functions in the Gizmo to check. B. y = cos y = sin Consider the functions y=sin(x)-3 and y = cos(x) + 4. (Do not graph them yet.) A. How do you think the graphs of y=sin(x)-3 and y= cos(x) + 4 differ from the graphs of their parent functions, y=sin(x) and y= cos(x)? (Complete the sentences.) The graph of y=sin(x)-3 is. The graph of y = cos(x) + 4 is Graph y= sin(x)-3 and y= cos(x) + 4 in the Gizmo to check your answers. B. Vary k for both sine and cosine. In general, how does k change the graphs? Next, set k to 0, and h to 0.5x, to graph y=sin(x-0.5.). A. One of the maximum points on y= sin(x) is at (0.5x, 1). Where is this maximum on the graph of y=sin(x-0.5x)? Check in the Gizmo. B. Next graph y sin(x+0.5x). How does this graph differ from the graph of y=sin(x)? This is a vertical shift. C. How do you think the graph of y= cos(x-0.25) will differ from that of y = cos(x)? Check in the Gizmo. D. Vary h for sine and cosine. The value of h translates a graph left or right. (This is a phase shift.) In general, how do you know which direction h will move a graph? Write a function for each graph below. Then graph your functions in the Gizmo to check. B. y = cos y = sin

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A graph showing Compared to the parent function ysinx sin 3 ysinx3 is vertically displaced do... View the full answer