For this case, we have by definition, that the standard equation of a parabola is:
[tex]y = ax ^ 2 + bx + c[/tex]
This equation can also be written in the "vertex form":
[tex]y = a (x-h) ^ 2 + k[/tex]
Where:
The vertex of the parabola is the point (h, k)
In this case we have:
[tex](h, k) = (-5,4)[/tex]
So:
[tex]y = a (x - (- 5)) ^ 2 + 4[/tex]
If a <0 opens down
If a> 0 opens up
Answer:
[tex]y = a (x + 5) ^ 2 + 4[/tex]
