Quadratic Functions

Question

For the following quadratic functions, state the transformations that have occurred to the parent function, state the vertex and whether the parabola will open up or down and sketch the curve by hand. 

y = -2x2 

y = 1/3 x2

Answer 1

Andrea.... I cannot sketch on this platform but,

y = -2x² opens down because of the negative sign. Its vertex is at the origin (0,0). That is, when x = 0, y = 0.

y = (1/3)x² opens down because of the positive sign. Its vertex is also (0,0)