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

Mar 28, 2016

See explanantion

#### Explanation:

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

$\textcolor{b l u e}{{x}_{\text{vertex}} = \left(- \frac{1}{2}\right) \times \left(- 7\right) = + \frac{7}{2}}$

$y = a {x}^{2} + b x + c \text{ " ->" } y = a \left({x}^{2} + \frac{b}{a} x\right) + c$
${x}_{\text{vertex}} = \left(- \frac{1}{2}\right) \times \left(\frac{b}{a}\right)$ In your case $a = 1$
${y}_{\text{vertex}}$ can now be found by substitution. I will let you do that.