Question

ad. Name Someodha Date 31220bal Per Kuta Software - Infinite Algebra 2 Properties of Parabolas Identify the vertex of each. + 16x + 64 y 64-128 +64 Yeo 1) y = x² 2) = 2x² - 4x-2 *x-coordivade 2 y=4 x-coordinate * =4,40 200 16 (3.0) y=2018-11-2

Answer 1

1. The given equation is,

$x^2+16x+64.$

The vertex of the parabola has the coordinate,

$(\frac{-b}{2a},\frac{-D}{4a})$

The vertex can be determined as,

$\begin{gathered} (\frac{-16}{2\times1},\frac{4\times1\times64-(16)^2}{4\times1}) \\ (-8,0) \end{gathered}$

Thus, the required vertex is (-8,0).

2.

The given equation is,

$-x^2+18x-75.$

The vertex can be determied as,

$\begin{gathered} (\frac{-18}{2\times(-1)},\frac{4\times(-1)\times(-75)-18^2}{4\times(-1)}) \\ =(9,6) \end{gathered}$

Thus, the required vertex is (9,6).