Find the function rule for \( g(x) \). The function \( f(x)=x^{2} \). The graph of \( g(x) \) is \( f(x) \) translated to the right 7 units and up 3 units. What is the function rule for \( g(x)^{\text {? }} \) \[ g(x)=(x+3)^{2}-7 \] o \( g(x)=(x-7)^{2}+3 \) \( g(x)=(x+7)^{2}-3 \) \( g(x)=(x-3)^{2}+7 \)

A pre-paid cell phone company charges \( \$ 10.05 \) as a monthly access fee and \( \$ 0.11 \) per minute of calling time. Express the monthly cost \( C \) in terms of minutes of call time.

1. Prove that \( \frac{\cos \theta}{1-\tan \theta}+\frac{\sin \theta}{1-\cot \theta}=\sin \theta+\cos \theta \)

3. What is the 4 th term of the sequence \( a_{n}=\frac{n^{2}}{2} \) ? \( 100,50,25,12.5, \ldots \) \( \begin{array}{llll}\text { A. } 4 & \text { B. } 8 & \text { C. } 16 & \text { D. } 24\end{array} \)

7. 25 bags of wheat eagh weighing 40 kg cost \( ₹ 2750 \). Find the cost 0.35 bags of wheat, if each weigring 50 kg .

What transformations change the graph of \( f(x) \) to the graph of \( g(x) \) ? \( f(x)=x^{2} g(x)=(x+5)^{2}+5 \) a The graph of \( g(x) \) is the graph of \( f(x) \) translated to the down 5 units and right 5 units. o o The graph of \( g(x) \) is the graph of \( f(x) \) translated to the left 5 units and up 5 units. d the graph of \( g(x) \) is the graph of \( f(x) \) translated to the right 5 units and down 5 units.