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

Write the standard form of the equation of the circle with the given center and radius.(2, -10);

Graph the solution set of the system of inequalities or indicate that the system has no solution.x2 + y2 ≤ 16x + y > 1

Find the distance between the pair of points.(6, -1) and (3, -7)

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

Find and simplify the difference quotient for the given function.f(x) = x2 + 6x + 2

Use the given conditions to write an equation for the line in slope-intercept form.Passing through (-4, -4) and (-5, -8)

Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point.f(x) = -x2 – 2x – 9

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 – 1, x ≥ 0

Begin by graphing the standard quadratic function f(x) = x2 . Then use transformations of this graph to graph the given function.g(x) = – (x + 2)2 – 2