Answer:
The answer to your question is the letter A.
Step-by-step explanation:
Data
y = x² + 10x + 26
Factor the right side of the equation
y - 26 = x² + 10x
-Complete the perfect trinomial square
y - 26 + (5)² = x² + 10x + (5)²
-Simplify
y - 26 + 25 = x² + 10x + 25
y - 1 = (x + 5)²
Vertex = (-5 , 1)
The function given is a vertical parabola whose axis of symmetry goes through x = -5
