Question

What is the axis of symmetry and vertex for the graph `y=x^2-7x+12`?

Answer 1

See explanantion

Explanation:

`color(brown)("Axis of symmetry is also "x_("vertex"))`

`color(blue)(x_("vertex")=(-1/2)xx(-7) = +7/2)`

Important point about x vertex

`y=ax^2+bx+c" " ->" " y=a(x^2+b/ax)+c`

`x_("vertex")= (-1/2)xx(b/a)` In your case `a=1`

`y_("vertex")` can now be found by substitution. I will let you do that.