Question:
Complete question for this is to find the equation for this and may be the graph.
Explanation:
As for the oscillation motion, initially peak is occurring hence it will be a cosine function with peak value of 3(cm).
To calculate time period, the whole cycle should be 360°
i.e.
cos (Xπ.t) = cos (360)
as the cycle completes at 1.2 sec hence by putting t=1.2, answer should be 360.
i.e.
X*180*t=360
X*180*1.2=360
X=5/3
So, the required equation is
Graph for this equation is attached here with this answer.
In graph,
x-axis: t=0 ~ t=1.2
y-axis: f(x)=-4 ~ f(x)=4
Answer:
$01.70
Step-by-step explanation:
Hello.
To do this, we need to work from right to left. (Another way to phrase it is from inside to out).
Step by step:
1). f(x)= 3x+1
2). Take 3x+1 and plug it into wherever you see the variable x in the g(x).
** g(f(x))= (3x+1)² + 4(3x+1) +6
g(f(x))= (3x+1)² + 12x + 4 + 6
g(f(x))= (3x+1)² + 12x + 10
g(f(x))= (3x+1)(3x+1) + 12x + 10
g(f(x))= 9x² + 6x +1 + 12x +10
g(f(x))= 9x² + 18x + 11
Hope that helped.
** this is not proper notation, but rather, a demonstration of how plugging functions into functions would work.
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Disclaimer:
Always double check your answer with a reliable source, as mistakes can be made.
Answer:
D
Step-by-step explanation:
Answer:
y = - (x - 3)² + 15
Step-by-step explanation:
using the method of completing the square
y = x² + 6x + 6 ← factor out - 1 from the first 2 terms
y = - (x² - 6x) + 6
to complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 6x
y = - (x² + 2(- 3)x + 9 - 9) + 6
= - (x - 3)² + 9 + 6
= - (x - 3)² + 15