060908

1.  Construct a graph of y = x^2.  Begin with a table using x = -3, -2, -1, 0, 1, 2, 3.

Quickly copy your sketch of the graph that would be formed if your graph of y = x^2 was stretched vertically by a factor of 2, by a factor of 3, by a factor of .5 and by a factor of -.3.  Don't bother to label the axes, but clearly show how each graph compares with and differs from the others.

2.  Determine the location of the vertex of the quadratic function

y = x^2 + x + 1

y = x^2 + 2x + 1

y = x^2 + 3x + 1

y = x^2 + 4x + 1

y = -2 x^2 + 4x + 3

Sketch a graph for each function showing 3 points:  the vertex and the graph points 1 unit to the right and 1 unit to the left of the vertex.

Sketch the graph of each function, based only on the 3 points you have sketched and your knowledge that the graph is a parabola.