Consider the following function: Y = x2. Objective is to graph the function. For this choose different values for x, and find the corresponding v values as follows: Choose x = - 2, -1, 0, 1, 2. Tabulate the calculated values as shown below: Plot these points on the coordinate system and connect them with a smooth curve. Graph the parabola with same width but with vertex is shifted to (2,-4). The equation for the parabola with vertex at (h,k) is given by y = a(x-h)2 + k. Here, a = 1.h = 2. and k = -4. So. the equation will be y = (x- 2)2 +4. The graph of y = f(x + h) is obtained by shifting the graph of y = f(x) h units left. The graph of y = f(x)-k is obtained by shifting the graph of y = f(x) k units downward. So. the graph of y = (x - 2)2 + 4 is obtained by shifting the graph of y = x2. 2 units left, and 4 units down. Graph the parabola with vertex at origin and a = - 1/4 The equation for this parabola is y = 1/4 x2 The graph of y = -f (x) is obtained by reflecting the graph of y = f(x) in the x-axis. The graph of y = cf (x). 0 Solution No, it is not correct. The equation would be y = (x-2)2-4.

1. Consider the following function: Y = x2. Objective is to graph the function. For this choose
different values for x, and find the corresponding v values as follows: Choose x = - 2, -1, 0, 1, 2.
Tabulate the calculated values as shown below: Plot these points on the coordinate system and
connect them with a smooth curve. Graph the parabola with same width but with vertex is
shifted to (2,-4). The equation for the parabola with vertex at (h,k) is given by y = a(x-h)2 + k.
Here, a = 1.h = 2. and k = -4. So. the equation will be y = (x- 2)2 +4. The graph of y = f(x + h)
is obtained by shifting the graph of y = f(x) h units left. The graph of y = f(x)-k is obtained by
shifting the graph of y = f(x) k units downward. So. the graph of y = (x - 2)2 + 4 is obtained by
shifting the graph of y = x2. 2 units left, and 4 units down. Graph the parabola with vertex at
origin and a = - 1/4 The equation for this parabola is y = 1/4 x2 The graph of y = -f (x) is
obtained by reflecting the graph of y = f(x) in the x-axis. The graph of y = cf (x). 0
Solution
No, it is not correct. The equation would be y = (x-2)2-4