6.4 - midline, amplitude, and period\nscore: 7/10 answered: 9/10\nquestion 10\nfor y = -4 cos(x) + 3,\nits…

6.4 - midline, amplitude, and period\nscore: 7/10 answered: 9/10\nquestion 10\nfor y = -4 cos(x) + 3,\nits amplitude is\nits midline is y =\nquestion help: worked example 1\nsubmit question

6.4 - midline, amplitude, and period\nscore: 7/10 answered: 9/10\nquestion 10\nfor y = -4 cos(x) + 3,\nits amplitude is\nits midline is y =\nquestion help: worked example 1\nsubmit question

Answer

Explanation:

Step1: Recall amplitude formula

For a cosine - function of the form $y = A\cos(x)+k$, the amplitude is given by $|A|$. In the function $y=-4\cos(x) + 3$, $A=-4$.

Step2: Calculate the amplitude

$|A|=|-4| = 4$.

Step3: Recall mid - line formula

For a cosine - function of the form $y = A\cos(x)+k$, the mid - line is given by the equation $y = k$. In the function $y=-4\cos(x)+3$, $k = 3$.

Answer:

Amplitude: 4 Mid - line: $y = 3$