Answer:
Axis of Symmetry: x = -4
Vertex: ( -4, -6 )
Step-by-step explanation:
~ Part I ~
1. To find the axis of symmetry, rewrite y = x^2 + 8x + 10 in the parabola standard form ( 4p( y - k ) = ( x - h) ^2 for an up-down facing parabola at vertex ( h, k ) and a focal length |p|) ⇒ 4 * 1/4 ( y - ( - 6 ) ) = ( x - ( - 4 ) )^2
2. Therefore the parabola properties are ⇒ ( h, k ) = ( - 4, -6 ), p = 1/4
3. Answer: x = -4
~ Part II ~
1. From the previous question, we got that the vertex should be ⇒ ( -4, -6 )
2. Answer: ( -4, -6 )
