Evaluate the expression without using a calculator.log4

Use the vertex and intercepts to sketch the graph of the quadratic function.f(x) = 2(x + 3)2 – 6

Solve.The value of a particular investment follows a pattern of exponential growth. In the year 2000, you invested money in a money market account. The value of your investment t years after 2000 is given by the exponential growth model When will the account be worth $12,988?

Write the standard form of the equation of the circle with the given center and radius.(-3, 6);

Solve the problem.You have 112 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river, find the length and width of the plot that will maximize the area.

Solve the problem.You have 84 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river, find the length and width of the plot that will maximize the area.

Find the distance between the pair of points.(7, -7) and (5, -1)

Graph f as a solid line and f-1 as a dashed line in the same rectangular coordinate space. Use interval notation to give the domain and range of f and f-1.f(x) = x2 – 8, x ≥ 0

Evaluate the function at the given value of the independent variable and simplify.f(x) = 4×2 + 5x – 3;f(x – 1)

Use the compound interest formulas A = Pnt and A = Pert to solve.Find the accumulated value of an investment of $7000 at 8% compounded semiannually for 10 years.