Determine the vertex of the given quadratic function and state whether its graph opens up or down. f(x) = 3(x 5)2 - 2 Write an equation of a quadratic function that opens down and has x-intercepts (2, O) and (4/3, 0). i your final answer in standard form. Determine the vertex, x-intercepts, y-intercept, and direction in which the graph opens. You must show work to justify your answer algebraicaily. a. x) =-x2+8x2 b. h(x) = 2(x3)(x+4)