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=(-b)/(2a) \\ x=(-16)/(2*1) \\ x=(-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)`