The vertex of a parabola, point $(h,k)$, locates its position on the coordinate graph. The vertex thus serves as a locator point for a parabola. Other families of functions that you will be investigating in this course will also have locator points. These points have different names, but the same purpose for each different type of graph. These points help you place the graph on the axes.

Sketch graphs for both of the following functions. On each graph, label the locator point.

1. $y=3x^2+5$ 

   Hint (a):

   The locator point is $(0,5)$ and the graph has a stretch factor of $3$.

2. $f(x)=-(x-3)^2-7$ 

   Hint (b):

   The locator point is $(3,−7)$ and the parabola is flipped over.