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.

Graph the solution set of the system of inequalities or indicate that the system has no solution.-x + 2y < -10x ≥ -4