Given P 1 2 3 And P 2 3 5 A Find The Distance Between The Two Points B Find T

Given: P1 = (-2, -3) and P2 = (3,-5),

a) Find the distance between the two points.

b) Find the midpoint of the line segment from P1 to P2.

c) What is the slope of the line contaiing the points P1 to P2.

Determine the quadratic function in the form f(x) = ax2 + bx + c, whose vertex is (1, -5) and whose y-intercept is -3.

Graph the function in problem 2.

Without graphing, locate the vertex and axis of symmetry of the parabola defined by f(x) = -3×2 + 6x + 1. Does it open up or down?