Question

How do you find the axis of symmetry, and the maximum or minimum value of the function `y = (x – 5)^2 + 10`?

Answer 1

`x=5` is the axis of symmetry

Explanation:

Solve for the vertex :
From the equation: `y=(x-5)^2+10`, vertex is at `(h, k)=(5, 10)`

Axis of symmetry is `x=5` a vertical line passing through the vertex

graph{(y-(x-5)^2-10)(y-1000000x+5(1000000))=0 [-40,40,-5, 45]}