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,

`((-b)/(2a),(-D)/(4a))`

The vertex can be determined as,

`\begin{gathered} ((-16)/(2*1),(4*1*64-(16)^2)/(4*1)) \\ (-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} ((-18)/(2*(-1)),(4*(-1)*(-75)-18^2)/(4*(-1))) \\ =(9,6) \end{gathered}`

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