Question

y =-1/2 (x - 1)^2 – 3 . Step 4 of 5: The next step in graphing a parabola is to find points that will determine the shape of the curve. Find the point on the graph of this parabola that has the x-coordinate x = -1.

Answer 1

Given the equation of a parabola as;

$y=-\frac{1}{2}(x-1)^2-3$

The graph of the parabola is;

The point on the graph that has the x-coordinate x=-1 is;

$\begin{gathered} y=-\frac{1}{2}(-1-1)^2-3 \\ y=-\frac{1}{2}(-2)^2-3 \\ y=-\frac{1}{2}(4)-3 \\ y=-2-3 \\ y=-5 \end{gathered}$