e
B. Show the following effects of the changing values of a, h and k in the equa-
tion y = a(x - h)2 + k of a quadratic function by formulating your own quadratic
functions and graphing it.
The parabola opens upward if a >0 (positive) and opens downward if a 0
(negative)
when the value of "a" is smaller. Its vertex is always located at the origin (0,
The graph of y = ax2 narrows if the value of "a" becomes larger and widens
0) and the axis of symmetry is x = 0.
The graph of y = ax2 + k is obtained by shifting y = ax2, k units upward if k
> 0 (positive) and /k/ units downward if k <0(negative). Its vertex is
cated at the point of (0, k) and an axis of symmetry of x = 0.
The graph of y = a(x - h)2 is obtained by shifting y =
ax2, h units to the
right if h > 0(positive) and /h/ units to the left if h <0(negative). Its vertex
is located at the point of (h, k) and an axis of symmetry of x = h.
The graph of y = a[x - h)2 + k is obtained by
= (- h
shifting y = ax2, h units to the
right if h > Oſpositive) /h/ units to the left if h <0(negative).; and k units
upward if k > 0 (positive) and /k/ units downward if k <0(negative). Its ver-
tex is located at the point of (h, k) and an axis of symmetry of x = h.
lo-
.​