Please help with these problems.

1. Combined Transformation. Given the transformed tool Kit function: a. Findthe Vertex [3] b. Find the Axis of Symmetry [2] c. Find the equation of the function. {hint: g(x)=af(x-h)+k [2] d. Using your equation find all three intercepts [5] 2. Piecewise Function. Evaluate the Following Piecewise Function at the given values 5x; if x3 f(-3) f(-2) f(2) f(4) [8] oo oo 3. Linear Modelling. Smart! Belize has a monthly cellular data plan where a customer pays a flat monthly fee of $10 and then a certain amount of money per megabyte (MB) of data used onthe phone. If a customer uses 20 MB, the monthly cost will be $11.20. If the customer uses 130 MB, the monthly cost will be $17.80. a. Find alinear equation for the monthly cost of the data plan as a function of x (amount of mb of data used). [71 b. Use your equation to find the total monthly cost if 1024 mb of data is used [3] 4. Quadratic function. Space X launches a rocket is launched in the air. Its height, in meters above sea level, as a function of time, in seconds, is given by h(t) = 4.9t% + 229t + 234 . Find the maximum height the rocket attains. [10] 5. Synthetic Division. Determine if the following divisor is a factor of the polynomial. {hint: if the remainder of a synthetic division is 0, then the divisor is said to be a factor in the form (x-c)} [10] x*10x3 +37x? 60x + 36 + (x 2)