What is the standard form for the quadratic function? g(x)=(x+5)^2-1

Need on this geometry question. explain how you did it.

Given the following linear function sketch the graph of the function and find the domain and range. ƒ(x) = -5x + 4

Astudent draws two parabolas both parabolas cross the x axis at (-4,0) and (6,0) the y intercept of the first parabolas is (0,-12). the y intercept of the second parabola is (0,-24) what is the positive difference between the a values for the two functions that describe the parabolas