SOLUTION: For the function y=5/2sin(1/2x-22.5 degrees)-2 , State the transformations, in the order you would apply them. [2]
• ___________ ___________ ___________ ___________
Algebra.Com
Question 1091305: For the function y=5/2sin(1/2x-22.5 degrees)-2 , State the transformations, in the order you would apply them. [2]
• ___________________________________________________________________________________________
• ___________________________________________________________________________________________
• ___________________________________________________________________________________________
• ___________________________________________________________________________________________
Answer by greenestamps(13214) (Show Source): You can put this solution on YOUR website!
First, you need to modify the argument for sine so that it is in the form p(x-q); then the q is the horizontal shift and the p determines the horizontal stretch or compression. So write the function as
The standard form for this kind of function is
Where
a is the vertical stretch;
b determines the horizontal stretch;
c is the horizontal shift; and
d is the vertical shift
The order in which the transformations are applied is the order in which you would evaluate the expression for a given input value.
The innermost parentheses is (x-45); so apply the horizontal shift first.
Next is the multiplication (of the angle) by 1/2; so apply the horizontal stretch second.
Next is the multiplication (of the sine) by 5/2; so apply the vertical stretch third.
And last is subtracting 2, which is the same as adding -2, so apply the vertical shift last.
RELATED QUESTIONS
could you state all the transformations for the quadratic formula,... (answered by stanbon)
Explain the transformations you would need to apply to the graph of y=f(x) to graph the... (answered by greenestamps)
Given the function y= -1/2 Squareroot 2x+6-1
State the 5 transformations and the domain... (answered by ikleyn)
Graph the function using transformations. State the domain, the range and asymptotes {{{ (answered by ewatrrr)
Graph the following function using transformations. Be sure to graph all of the stages on (answered by josgarithmetic)
Use transformations to sketch the function y=-3(2^x+6). State the domain and... (answered by CubeyThePenguin)
2. Graph the following function using transformations. Be sure to graph all of the stages (answered by stanbon)
The graph of f(x) is shown below.... (answered by Edwin McCravy)
Describe the transformations in words and sketch the exponential function for each of the (answered by greenestamps)