Ungkapkan fungsi kuadratik, \( f(x)=2 x^{2}+8 x+11 \) sebagai \( f(x)=a(x-h)^{2}+k \) di mana \( a, h \) dan \( k \) ialah pemalar. Kemudian lakarkan graf fungsi kuadratik tersebut. Sekiranya nilai a yang diperoleh menjadi lebih besar, nyatakan kesan perubahan tersebut terhadap bentuk dan kedudukan graf. Express the quadratic function, \( f(x)=2 x^{2}+8 x+11 \) as \( f(x)=a(x-h)^{2}+k \) where \( a, h \) and \( k \) are constants. Then sketch the graph of the quadratic function. If the obtained value of a becomes greater, state the effect of the change on the shape and position of the graph.

5. \( \frac{(n+1)!}{(n-4)!}=6 n^{2}+6 n \) olduğuna göre, \( n \) kaçtır? \( \begin{array}{llll}\text { A) } 7 & \text { B) } 6 & \text { C) } 5 & \text { D) } 4 \\ \text { 5) } 3\end{array} \)

4. Math on the Spot Solve each system by substitution. \( \begin{array}{ll}\text { A. }\left\{\begin{array}{l}y=3 x \\ y=x+4\end{array}\right. & \text { B. }\left\{\begin{array}{l}x-y=4 \\ x+2 y=4\end{array}\right.\end{array} \)

3. Use the system of equations shown for Parts A and B. \( \left\{\begin{array}{l}3 x-2 y=-10 \\ -4 x+3 y=13 \\ \text { A. Solve one of the equations for either variable. } \\ \text { B. Use substitution to find the solution of the system. }\end{array}\right. \).

8 Olivia drove 170 miles each way (there and back) to visit her cousin. On the trip, Olivia drove an extra 20 miles to see the Grand Canyon. She also drove an extra 45 miles to see Lake Powell. Write one or more equations you could use to represent th number of miles Olivia drove on her trip.

4. \( \frac{(4 n)!+(4 n+1)!}{(4 n+1)!-(4 n)!} \) ifadesinin eşiti aşağıdakilerden han- gisidir? \( \begin{array}{ll}\text { A) } \frac{2 n+1}{2} & \text { B) } \frac{2 n+1}{n} \\ \text { C) } \frac{2 n+1}{2 n} & \text { D) } \frac{2 n}{2 n+1}\end{array} \)