Answer:
Vertex of the parabola is ( -5 , 8 ).
Step-by-step explanation:
Given:
Equation of parabola,
y = x² + 10x + 33
To find: Vertex of the parabola
Vertex form of the parabola is ,
y = a( x - h )² + k
where, ( h , k ) is the vertex of the parabola.
Consider,
y = x² + 10x + 33
y = x² + 10x + 5² - 5² + 33
y = ( x + 5 )² - 25 + 33
y = ( x + 5 )² + 8
by comparing, we get
Vertex is ( -5 , 8 )
Therefore, Vertex of the parabola is ( -5 , 8 )
