Answer: y = 7cos(0.4π x) - 3
<u>Step-by-step explanation:</u>
The equation of a cosine function is: y = A cos(Bx - C) + D where
- Amplitude (A) is the distance from the midline to the max (or min)
- Period (P) is the length of one cosine wave --> P = 2π/B
- Phase Shift (C/B) is the horizontal distance shifted from the y-axis
- Midline (D) is the vertical shift. It is equal distance from the max and min
<u>Midline (D) = -3</u>
(-1.25, -3) is given as a point on the midline. We only need the y-value.
<u>Horizontal stretch (B) = 0.4π</u>
The max is located at (0,4) and also at (5, 4). Thus the period (length of one wave) is 5 units.
→ B = 0.4π
<u>Phase Shift (C) = 0</u>
The max is on the y-axis so there is no horizontal shift.
<u>Amplitude (A) = 7</u>
The distance from the midline to the max is: A = 4 - (-3) = 7
<u>Equation</u>
Input A = 7, B = 0.4π, C = 0, and D = -3 into the cosine equation.
y = A cos(Bx - C) + D
y = 7cos(0.4π x - 0) - 3
y = 7cos(0.4π x) - 3
Answer:
Step-by-step explanation:
From the information given:
(-1,4)(2,3)
slope = (3-4) / (2-(-1) = -1/3....a parallel line will have the same slope
y = mx + b
slope(m) = -1/3
(4,-2)...x = 4 and y = -2
now we sub
-2 = -1/3(4) + b
-2 = - 4/3 + b
-2 + 4/3 = b
-6/3 + 4/3 = b
-2/3 = b
equation in slope int form is : y = -1/3x - 2/3
y = -1/3x - 2/3
1/3x + y = - 2/3...multiply by 3
x + 3y = - 2
x + 3y + 2 = 0 <== general form
ANSWER
The correct answer is B
EXPLANATION
Ascending order means from the least to the highest
We can compare these numbers by expressing them over their LCM.
Since,
We conclude that;
Therefore the correct answer is B