Derive the equation of the parabola with a focus at (0, 1) and a directrix of y = −1.

f(x) = −one fourth x²

f(x) = one fourth x²

f(x) = −4x²

f(x) = 4x²

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points) part b: is the point (5, −8) included in the solution area for the system? justify your answer mathematically. (4 points)