Answer:
Explanation:
You can find the center of the parabola by simplifying the quadratic equation.
This can be simplified to:
y = (x + 5)(x + 1)
where you can find the zeros of the equation to find two points at
(-5, 0) and (-1, 0)
As the parabola is positive, it will face upwards with a lowest point.
You can use the zeros at -5 and -1 to figure out that the center will have the x-value of -3.
Plugging in the value of -3 into the equation y=x^2+6x+5 gives a y-value of -4. The center must be at (-3, -4).