Answer: Axis of symmetry is -2
vertex is (-2,1)
Explanation:
Axis of symmetry is X=Negative b/2a
You need to find out the a, b, & c
a=1 (because when there is no number in front of x, it equals 1). b=4 and c=5
Place the a,b,&c into the formula x=-b/2a which is x= -4/2(1)
In the numerator, negative four is alone so it'll just be negative four.
in the denominator, 2*1 equals 2
Now you have -4/2 which is -2.
So the axis of symmetry is -2
To find the vertex you can simply put 1x^2+4x+5 into a graphing calculator. (I use desmos)
The vertex is the highest or lowest point of a parabola.
in this case, the parabola is a minimum
The vertex is (-2,1)
Hope this helped!