Question

Write the equation for the function that passes through the points represented in the table:Picture is attached below

Answer 1

Solution

The picture below will be of help

Vertex = (0, 1)

Therefore, the vertical Jump is +1

The general form of the parabola with vertex (h, k) is given by

$\begin{gathered} y=a(x-h)^2+k \\ h=0 \\ k=1 \end{gathered}$

Therefore, the equation of the parabola is

$\begin{gathered} y=a(x-0)^2+1 \\ we\text{ need to find a} \\ using\text{ the point }(1,0)\text{ from the graph} \\ 0=a(1-0)^2+1 \\ 0=a+1 \\ a=-1 \\ Therefore,\text{ the answer is} \\ y=-(x-0)^2+1 \end{gathered}$