Question

What is the axis of symmetry and vertex for the graph `y = 3(x)^(2) - 7 x - 8`?

Answer 1

Show you a really cool trick for this
`x_("vertex")=7/6=" axis of symmetry"`
I will let you find `y_("vertex")`

Explanation:

Given:`" "y=3x^2-7x-8`

Factor out the 3 for the `x^2" and the "x" terms"`

`" "y=3(x^2-7/3x)-8`

Now apply `(-1/2) xx-7/3 = +7/6`

`x_("vertex")=7/6`

Axis of symmetry`-> x=7/6`

Just substitute `x=7/6` in the original equation to find `y_("vertex")`