SOLUTION: Given the description of the transformation from the function f to function g, write the function equation for g. graph the new function. 4. shift f(x) = sin(x) left 7/2 units and

Algebra ->  Trigonometry-basics -> SOLUTION: Given the description of the transformation from the function f to function g, write the function equation for g. graph the new function. 4. shift f(x) = sin(x) left 7/2 units and      Log On


   

Question 1174638: Given the description of the transformation from the function f to function g, write the function equation for g. graph the new function.
4. shift f(x) = sin(x) left 7/2 units and down 3 units.
5. shift f(x) = cos(x) right 4/5 units and up pi/6 units
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.

Everything was just explained to you in my earlier post

https://www.algebra.com/algebra/homework/Trigonometry-basics/Trigonometry-basics.faq.question.1174599.html

https://www.algebra.com/algebra/homework/Trigonometry-basics/Trigonometry-basics.faq.question.1174599.html



Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

4.
shift f%28x%29+=+sin%28x%29+left 7%2F2 units and down+3+units.
rule:
y+=+f+%28x+%2B+c%29 : shift the graph of y+=+f+%28x%29 to the left by c units
y+=+f+%28x%29+-+c+: shift the graph of y+=+f+%28x%29+down by c units
f%28x%29+=+sin%28x%2B7%2F2%29+-3
+graph%28+600%2C+600%2C+-5%2C+5%2C+-5%2C+5%2C+sin%28x%29%2C+sin%28x%2B7%2F2%29+-3%29+


5. shift f%28x%29+=+cos%28x%29+right 4%2F5 units and up pi%2F6 units
rule:
y+=+f+%28x+-c%29+: shift the graph of y+=+f+%28x%29+to the right by c units
y+=+f+%28x%29+%2Bc+: shift the graph of y+=+f+%28x%29+ up by c units
f%28x%29+=+cos%28x-4%2F5%29%2Bpi%2F6+
+graph%28+600%2C+600%2C+-5%2C+5%2C+-5%2C+5%2C+cos%28x%29%2C+cos%28x-4%2F5%29%2Bpi%2F6+%29+