Question

Name Sanaaathe Kuta Software - Infinite Algebra 2 Properties of Parabolas Identify the vertex of each. 1) y=x? + 16,7 +64 ale Jepardjoate al 2 y=2r - 4 - I 22 (8,6)

Answer 1

Given the parabola equation as,

$y=x^2+16x+64$

we know that, x coordinate of parabola is given as,

$\begin{gathered} x=\frac{-b}{2a} \\ x=\frac{-16}{2\times1} \\ x=\frac{-16}{2} \\ x=-8 \end{gathered}$

So, y coordinate by putting value of x in equation as,

$\begin{gathered} y=x^2+16x+64 \\ y=(-8)^2+16(-8)+64 \\ y=64-128+64 \\ y=128-128 \\ y=0 \end{gathered}$

Hence, the vertex for parabola is given as,

$(-8,0)$