# What is the vertex of y=(3x-4)^2-7? Thank you so much, in advance.?

May 11, 2018

$\text{vertex } = \left(\frac{4}{3} , - 7\right)$

#### Explanation:

$\text{the equation of a parabola in "color(blue)"vertex form}$ is.

$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{y = a {\left(x - h\right)}^{2} + k} \textcolor{w h i t e}{\frac{2}{2}} |}}}$

$\text{where "(h,k)" are the coordinates of the vertex and a}$
$\text{is a multiplier}$

$\text{take out a factor of 3 from } {\left(3 x - 4\right)}^{2}$

$\Rightarrow y = 3 {\left(x - \frac{4}{3}\right)}^{2} - 7 \leftarrow \textcolor{b l u e}{\text{in vertex form}}$

$\text{with "h=4/3" and } k = - 7$

$\Rightarrow \textcolor{m a \ge n t a}{\text{vertex }} = \left(\frac{4}{3} , - 7\right)$