Using the given graph of a parabola, let's find the value of P.
In a parabola, the value of P is the distance between the vertex and the focus.
From the graph, we have:
Focus : (6, 4)
Vertex: (6, 1)
Hence, to find the value of P, let's apply the distance formula.
[tex]\begin{gathered} p=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\ \\ p=\sqrt{(6-6)^2+(1-4)^2} \\ \\ p=\sqrt{0+(-3)^2} \\ \\ p=\sqrt{9} \\ \\ p=3 \end{gathered}[/tex]Therefore, the value of p for the parabola is 3 .
• ANSWER:
p = 3