What is the axis of symmetry and vertex for the graph y=x^2-7x+12y=x27x+12?

1 Answer
Mar 28, 2016

See explanantion

Explanation:

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

color(blue)(x_("vertex")=(-1/2)xx(-7) = +7/2)xvertex=(12)×(7)=+72

Important point about x vertex

y=ax^2+bx+c" " ->" " y=a(x^2+b/ax)+cy=ax2+bx+c y=a(x2+bax)+c

x_("vertex")= (-1/2)xx(b/a)xvertex=(12)×(ba) In your case a=1a=1

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