Please help with the questions below attached.

1. Find an equation for each line: (a) Li goes through the point (-1, 3) and is parallel to x = -2y + 3. (b) L2 goes through the point (2, 3) and is perpendicular to y = = x + 1. Show work and express the equation as slope-intercept form y=myth for full credit. 2. Let f (x) = 0.5/x + 2| - 1. a) Graph the function. Label the axes clearly for full credit. (b) Determine the domain of the function. c) List the interval(s) on which the function is increasing. d) Find the zeros of the function if any exist. (e) Find the absolute extrema if they exist. Show work and rationale for full credit 3. Let f (x) = -2x2 + 4x - 5: (a) Convert f (x) into standard form a(x - h)2 + k. b) Find the range of the function. (c) Identify the vertex. (d) Identify the axis of symmetry. (e) Determine whether the vertex yields a relative and absolute maximum or minimum. Show work and rationale for full credit. Solve the inequality. Write your answer using interval notation: (a) x2 + 64 2 16x (b) 2x