Explain step by step how to solve each question.

1. Determine the equation, in factored form, of a family of quadratic functions with each pair of roots. Sketch a graph to show four graphs in each family a)x=3andx=6 2. Express each equation in question 1 in standard form. 3. Find the equation of a quadratic function that has the given x-intercepts and contains the given point. Express each function in factored form. Graph each function to check. a) -3 and 5, point (4, -3) c) 0 and ":7, point (1, 5) 5. Find the equation of the quadratic function that has given zeros and contains the given point. Express each function in standard form. Graph each function to check. a) 1 + m , point (4, -6} 7. A soccer ball is kicked from the ground. After travelling a horizontal distance of 35 m, it just passes over a 1.5 m tall fence before hitting the ground 37 m from where it was kicked. a) Considering the ground to be the xaxis and the vertex to be on the yaxis, determine the equation of a quadratic function that can be used to model the parabolic bath of the ball. b} Determine the maximum height of the ball. c) How far has the ball travelled horizontally to reach the maximum height? 3. Determine the equation in standard form for each quadratic function shown