Question

Please I need help every tutor I get can’t help me

Answer 1

Step-by-step explanation:

`f(x)\text{ = 4tan(2x + }(\pi)/(3))`
`\begin{gathered} \text{trigonometry function: STEP 1} \\ y\text{ = Atan(Bx }-\text{ C) + D} \\ A\text{ = 4} \\ B\text{ = 2} \\ -C\text{ = }(\pi)/(3) \\ C\text{ =- }(\pi)/(3) \\ D\text{ = 0} \\ y\text{ = 4tan\lbrack{}2x }-\text{ (- }(\pi)/(3)\text{)\rbrack + 0} \end{gathered}`
`\begin{gathered} \text{STEP 2:} \\ |A|\text{ = }|4| \\ \textA \end{gathered}`
`\begin{gathered} \text{STEP 3} \\ \text{period P = }(\pi)/(|B|)\text{ } \\ \text{P = }(\pi)/(|2|) \\ P\text{ = }(\pi)/(2) \end{gathered}`
`\begin{gathered} \text{STEP 4} \\ \text{Horizontal shift x = }(C)/(B) \\ x\text{ = }(-\pi)/(3)\text{ }/\text{ }2 \\ x\text{ = }(-\pi)/(3)*\text{ }(1)/(2) \\ x\text{ = }(-\pi)/(6) \end{gathered}`
`\begin{gathered} \text{STEP 5} \\ \text{Vertical shift D = 0} \\ \text{midline equation:} \\ \text{Midline is the vertical shift} \\ \text{Vertical shift = 0} \\ \text{Midline = 0} \end{gathered}`