Answer:
The vertex form of a quadratic function is given by
y=a
(x−h)2+k , where (h,k)
is the vertex of the parabola.
We can use the process of Completing the Square to get this into the Vertex Form.
y=−2x2−4x−7
→y+7=−2x2−4x
(Transposed -7 to the Left Hand Side)
→y+7=−2(x2+2x) (Made the coefficient of x2as 1)
Now we subtract
2
from each side to complete the square
→y+7−2=−2(x2+2x+12)
→y+5=−2(x+1)2
→y+5=−2{x−(−1)}2
→y=−2{x−(−1)}2+(−5) is the Vertex Form
The vertex of the Parabola is
{−1,−5}
