(Solved): please do all three parts neatly and show work i am limited on questions please help!! thank youu 1. ...

1. (1 Points) Let \( f(x) \) be a quadratic function with \( x \)-intercepts \( x_{1}=-4 \) and \( x_{2}=3 \). Determine \( h \) in the coordinates of the vertex \( (h, k) \) of the graph of \( f \). 2. Let \( f(x)=3 x^{2}-6 x-9 \) be a quadratic function. (a) (3 Points) Write \( f(x) \) in factored form - be sure to show your work! (b) (3 Points) Write \( f(x) \) in vertex form. 3. ( Points) Let \( f(x)=2 x^{2}-3 x+1 \) be a quadratic function. Find the \( x \)-intercepts of \( f(x) \)