C. f(x) = – 2 cos 6x + 1
Start by determining the amplitude. Since we've deduced the amplitude is 2, the equation can include either a positive or negative 2 (since amplitude measures absolute value).
Next is the period. The equation for period P is P = (2pi)/b. If P is pi/3, then
pi/3 = (2pi)/b. Thus your b value should be 6.
Finally, the midline would be given by + 1 since adding a unit shifts the function upwards. This means that instead of the highest y value being 2 and the lowest -2, instead you'd have values of 3 and -1.
(3 – 1)/2 = 1 (midpoint theory).
Answer:
1.921
Step-by-step explanation:
Answer:
Step-by-step explanation:
x² + 6x = 8
Coefficient of the x term: 6
Divide it in half: 3
Square it: 3²
Add 3² to both sides of the equation to complete the square and keep the equation balanced:
x² + 6x + 3² = 8 + 3²
(x+3)² = 17
