May 19th, 2017, 09:32 PM  #1 
Newbie Joined: May 2017 From: North America Posts: 7 Thanks: 0  Trigonometric Functions
4. For the function y=3cos(2x  8 )5, determine the phase shift and the period of the corresponding graph. 5. Given the g(x) = asin(b(xc))+d. Determine the values of a and d, given that the range of g(x) is 5 ≥y ≥10. 7. Given that f(x) = 2cos(3(x4))+k, determine all possible values of k for which y=f(x) will have no x intercepts. Last edited by SN2; May 19th, 2017 at 09:33 PM. Reason: Error 
May 20th, 2017, 04:21 AM  #2 
Math Team Joined: Jul 2011 From: Texas Posts: 2,569 Thanks: 1272 
For $y=a\sin[b(x+c)]+d$ or $y=a\sin(bx + \phi) + d$ ... Amplitude = $a$ Period, $T= \dfrac{2\pi}{b}$ Horizontal shift = $c$ ... right if $c<0$, left if $c>0$ Phase shift = $\phi$ Vertical shift = d ... upward if $d>0$, downward if $d<0$. Note that $y=d$ is also called the "midline" of the graph. Now try to answer each question using the above information ... 
May 20th, 2017, 01:33 PM  #3 
Newbie Joined: May 2017 From: North America Posts: 7 Thanks: 0 
Yes I know all the formulas to find them, however, I tried this about 3 times now and have always gotten the same ones wrong and need to know what I'm missing

May 20th, 2017, 03:02 PM  #4 
Math Team Joined: Jul 2011 From: Texas Posts: 2,569 Thanks: 1272  you need to show what you're getting wrong so someone may provide you with the necessary guidance toward getting them correct ...


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