Question

Name Samantha ahallas xe the information provided to write the vertex form equation of each parabola. 1071 2) y-2-3 MN B)

Answer 1

`y=(x+5)(x+4)`

start by writing the equation in standard form

`\begin{gathered} y=x^2+4x+5x+20 \\ y=x^2+9x+20 \end{gathered}`

find the vertex of the equation (h,k), in which

`\begin{gathered} h=(-(b)/(2a)) \\ k=f(-(b)/(2a)) \end{gathered}`

find h

`\begin{gathered} h=-(9)/(2\cdot1) \\ h=-4.5 \end{gathered}`

find the value of k

`\begin{gathered} k=(-4.5)^2+9\cdot(-4.5)+20 \\ k=-0.25 \end{gathered}`

after having the vertex, write the equation in vertex form

`y=(x+4.5)^2-0.25`