Evaluate the expression without using a calculator.log416

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

Graph the equation.(x – 5)2 + (y – 6)2 = 9

Write the standard form of the equation of the circle with the given center and radius.(-9, -4);

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.log (1000x)

Graph the equation.(x – 4)2 + (y – 2)2 = 16

Use the vertex and intercepts to sketch the graph of the quadratic function.f(x) = -4(x + 2)2 – 1

Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution.e2x – 8 – 6 = 1281

Determine the slope and the y-intercept of the graph of the equation.-x + 6y – 48 = 0

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.