Respuesta :
This is in the form of [tex]\sf acos(bx-c)+d[/tex].
Amplitude is equal to [tex]\sf |a|[/tex]
Period is equal to [tex]\sf\dfrac{2\pi}{|b|}[/tex]
Phase Shift is equal to [tex]\sf\dfrac{c}{b}[/tex]
Plug in the values:
Amplitude:
[tex]\sf |a|\rightarrow |-3|\rightarrow\boxed{\sf 3}[/tex]
Period:
[tex]\sf\dfrac{2\pi}{|4|}\rightarrow\dfrac{2\pi}{4}\rightarrow\boxed{\sf\dfrac{\pi}{2}}[/tex]
Phase Shift:
[tex]\sf\dfrac{c}{b}\rightarrow\boxed{\sf -\dfrac{\pi}{4}}[/tex]
Amplitude is equal to [tex]\sf |a|[/tex]
Period is equal to [tex]\sf\dfrac{2\pi}{|b|}[/tex]
Phase Shift is equal to [tex]\sf\dfrac{c}{b}[/tex]
Plug in the values:
Amplitude:
[tex]\sf |a|\rightarrow |-3|\rightarrow\boxed{\sf 3}[/tex]
Period:
[tex]\sf\dfrac{2\pi}{|4|}\rightarrow\dfrac{2\pi}{4}\rightarrow\boxed{\sf\dfrac{\pi}{2}}[/tex]
Phase Shift:
[tex]\sf\dfrac{c}{b}\rightarrow\boxed{\sf -\dfrac{\pi}{4}}[/tex]
Answer:
A) Amplitude = 3; period = pi over two; phase shift: x = negative pi over four