For each of the following data sets, write a system of equations to determine the coefficients of the natural cubic splines passing through the given points. If a computer program is available, solve the system of equations and graph the splines. a. X 4 7. 12 b. x 4. 10 15 35 00 2. 2.

Lillian is deciding between two parking garages. Garage A charges an initial fee of $4 to park plus $3 per hour. Garage B charges an initial fee of $9 to park plus $2 per hour. Let A represent the amount Garage A would charge if Lillian parks for t hours, and let B represent the amount Garage B would charge if Lillian parks for t hours. Write an equation for each situation, in terms of t, and determine the hours parked, t, that would make the cost of each garage the same. A = B = %3D Answer: Submit Answer acer

Graph the following equation W = 35T + 700

Graph the following on the same coordinate system. a. y = (x- 4)2 b. y= (x + 6)2 с. у 3 (x+ 1)2 d. у %3 (х - 2)2 Then, e. How do these graphs differ from the graph of y = x2? Ay a-d. Use the graphing tool to graph the equations. Click to enlarge graph e. How do these graphs differ from the graph of y= x2? O A. The graph of (x - h)2 is translated h units down if h is positive and | h| units up if h is negative. O B. The graph of (x - h)? is translated h units to the right if h is positive and |h| units to the left if h is negative. O C. The graph of (x- h)2 is translated h units to the left if h is positive and | h | units to the right if h is negative. O D. The graph of (x - h)2 is translated h units up if h is positive and | h|units down if h is negative.