Consider the function $y=2x^2$y=2x2
Complete the following table of values.
Plot the graph.
For $y=ax^2$y=ax2, as $a$a increases, how does it change the graph of $y=x^2$y=x2?
Identify, through investigation using technology, the effect on the graph of y = x^2 of transformations by considering separately each parameter a, h, and k
Explain the roles of a, h, and k in y = a(x – h )^2 + k, using the appropriate terminology to describe the transformations, and identify the vertex and the equation of the axis of symmetry