Find the coordinates of the vertex for the parabola defined by the given quadratic function.f(x) = (x + 1)2 – 6

Evaluate the expression.log55

Use the graph of the rational function shown to complete the statement.As x→+∞, f(x)→ ?

Evaluate or simplify the expression .log 0.01

Solve the problem.The cost in millions of dollars for a company to manufacture x thousand automobiles is given by the function C(x) = 3×2 – 18x + 63. Find the number of automobiles that must be produced to minimize the cost.

Evaluate the expression .ln e10x

Find the axis of symmetry of the parabola defined by the given quadratic function.f(x) = -x2 – 4x + 8

Find the coordinates of the vertex for the parabola defined by the given quadratic function.f(x) = x2 – 10x – 4

Solve the problem.The cost in millions of dollars for a company to manufacture x thousand automobiles is given by the function C(x) = 4×2 – 40x + 200. Find the number of automobiles that must be produced to minimize the cost.

Evaluate or simplify the expression .log 0.001