tell
the thing that I learned this week are: analyzing quadratic functions of the form y=a(x-p)^2+p and equivalent forms of the equation of a quadratic function.
The effect of changing q in y = x^2+q
The graph of y=x^2+q is the image of the graph of =x^2 after a vertical translation of q units. when q is positive sigh the graph moves up, when the q is negative sigh the graph moves down.
The effect of changing p in y=(x-p)^2′
The graph of y=(x-p)2 is the image of the graph of y=x2 after a horizontal translation of p units. when p is negative sigh the graph moves right when p is positive sigh the graph moves left.
The effect of changing a in y=ax^2
the a greater then 1, the graph is stretched vertically. the a between 0 n 1 the graph is compressed vertically. a less then -1 the graph is stretched vertically and reflected in the x-axis. a between -1 and 0 the graph is compressed vertically and reflected in the x-axis.
Axis of symmetry: x=p
Vertex(p,q)
congruent to y = ax^2
