1) The standard form for any equation is
with this said we have to get the equation that they gave us into this form so we have
this means that the order of operations we have to follow is PEMDAS to get it to the standard form
Parentheses
Exponent
Multiplication
Division
Addition
Subtraction
or option C in this case.
2) The quadratic parent function is
in general if you want to move the parent function to move to the left r units you will have
so in this case you will have
3)
The equation to find the vertex is
since the paranola has vertex (2,-5) we have
to solve for a, we plug the values (3,4) into the equation and have the following
once we have the value for a, we plus it into the previous equation to get the equation of a parabola with the desired vertex and that passes through the desired point so