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How do you graph y equals x2?
The graph is a parabola facing (opening) upwards with the vertex at the origin.
How do you make a parabola graph downwards if you can't change the vertex?
Change it from positive to negative
How does y equals 4x2 plus 21x look in a graph?
It is a parabola with its vertex at the origin and the arms going upwards.
What happens to the shape of a parabola as the distance between the vertex of the curve and the focus becomes very large?
The parabola shape is magnified. If you keep the same scale for the graph, the parabola will look wider, more flattened out.
When a parabola opens downward the vertex is the what value?
The vertex is not affected by the direction that the parabola is facing. The vertex is the place where the two sides of the parabola meet. It is in the middle divides the shape in half. If you picture yourself looking at a bowl from the side and then imagining it as two dimensional, it would look like a parabola but for all of the filled in parts of the graph and the fact that the sides of the bowl don't continue on forever. The vertex is the bottom of the bowl, where the sides meet. You measure a vertex as you would a point; with a coordinate.
