Please answer each question showing full work , thank you so much !

1.) Use the following equation to determine (round to the tenths place) : a. The vertex f(x) =2(x-3)2-6 b. The y-intercept by substituting x=0 and solving for y. c. The x-intercepts by setting f(x)=0 and solving for x. 2.) Use the following equation to determine (round to the tenths place) : a. The vertex f (x) = x2 +3x +4 b. The y-intercept. c. The discriminant and state the number and type of solutions d. Set f(x)=0 and solve for x using the quadratic formula. 3.) Sketch the graph of the equations from problem 1 and 2 (label the axis and vertex). 10 10 TTT 10 - 8 6 6 8 10 -10 -8 -6 -4 2 4 6 8 10 -2 TTT -10 4.) a.) If g varies directly as t, and g=18 b.) If z varies inversely as r+3, and z=5 when r=4 when t=3 find g when t=5. find r when z=9