Question

Use the zeros and the labeled point to write the quadratic functionrepresented by the graph.Ay(3,9)10-х-10510-10--20-

Answer 1

Zeros of graph:

`\begin{gathered} x_1=-6 \\ x_2=2 \end{gathered}`

Vertex: ( -2 , -16 )

Labled point: ( 3, 9 )

To get the quadratic expression:

`y=a(x-h)^2+k`

Where:

• h = -2

,

• k = -16

,

• x = 3 and y = 6

Then...

`\begin{gathered} 9=a*(3-(-2))^2+(-16) \\ 9=a*(5)^2-16 \\ 9=a*25-16 \\ a=(25)/(25)=1 \end{gathered}`

Standard form:

`y=(x+2)^2-16`

General form (solving the quadratic expression):

`y=x^2+4x-12`

Answer: C.