newsrar
Calculators
General
Algebra
Geometry
Coordinate-geometry
Statistics
Calculus
Qna
Math
newsrar
newsrar
Home
General
Algebra
Geometry
Coordinate-geometry
Statistics
Calculus
Qna
Math
MATH SOLVE
Home
General
Can you please help me guys
4 months ago
Q:
Can you please help me guys
Accepted Solution
A:
ANSWER
[tex]y = 3 \cos(2x + 2) + 2[/tex]
or
[tex]y= -3\cos(2x + 2) + 2[/tex]
Any of these two are correct
EXPLANATION
The general cosine function is
[tex]y = a \cos(bx + c) + d[/tex]
where
[tex]|a|=3[/tex]
[tex]a=\pm3[/tex]
is the amplitude.
[tex] \frac{2\pi}{b}= \pi[/tex]
is the period.
This implies that
[tex]b=2[/tex]
[tex] \frac{b}{c} = 1[/tex]
is the phase shift.
This implies that;
[tex]c = 2[/tex]
[tex]d = 2[/tex]
is the vertical shift.
The possible equations are:
[tex]y = \pm \: 3 \cos(2x \pm2)+2[/tex]