Answer:
A. Vertex is ( -1, 16)
B. Do they mean y-intercept for vertical intercept? That is (0,14)
C. X-intercepts are
(-3.838, 0) and (1.828, 0)
Step-by-step explanation:
plug the equation into desmos. It will graph and give you the info.
To find y-int, plug in 0 for x. This gives you the point 0, 14.
You can also use the quadratic equation to find the x-intercepts.
To simplify a fraction, divide numerator and denominator by
their greatest common factor.
The greatest common factor of 5 and 20 is 5 .
5/20 = 1 / 4
<span>1. a sine curve with amplitude 2, and period 4pi radians
</span>
the general equation of the sine curve ⇒⇒ y = a sin (nθ)
where: a is the amplitude and n = 2π/perid
∵ <span>amplitude 2, and period 4pi radians
</span>
∴ y = 2 sin (θ/2)
The correct answer is option D. y = 2 sin (θ/2)
===========================================
<span>2.The period and amplitude of the function ⇒⇒ y = 5 cos 2θ
</span>
<span>comparing with y = a cos nθ
</span>
where : a is the amplitude and n = 2π/period
<span>amplitude = 5 , period = 2π/n = 2π/2 = π
</span>
The correct answer is option B. Period: pi radians: Amplitude:5
============================================================
3. tan (2π/3) = tan 120° = -√3
120° lie in the second quadrant and its reference angle = 180° - 120° = 60°
tan function in the second quadrant is negative
∴ tan 120° = - tan 60 = -√3
The correct answer is C. -sqrt3
=====================================================
4. <span>Tan 5π/6 = tan 150° = -(√3)/3
</span>
150° lies in the second quadrant and its reference angle = 180° - 150° = 30°
tan function in the second quadrant is negative
∴ tan 150° = - tan 30 = -(√3)/3
The correct answer is <span>B.-sqrt3/3</span>
Add 16.937 and 7.5. It's basically doing the problem backwards.
Insufficient data..u need to give the perimeter though!
