(a)
The addition of constant number c to f(x) in a quadartic function y = f(x) results in shifting of graph of y = f(x) by c units upwards.
(b)
The addition of constant number c to x in a quadratic function y = f(x) resulys in shifting of graph of f(x) by c units towards left side.
(c)
The multiplication of -1 to f(x) in function y = f(x) results in mirror image of graph of function y = f(x) about y-axis (or a line parallel to y-axis passing through the vertex of graph of quadratic function).
Let us draw the graph of y = x^2 and y = -x^2.
(d)
Let y = x^2 + 2x.
Replace x by -x to obtain y = f(-x).
[tex]\begin{gathered} y=(-x)^2+2(-x) \\ =x^2-2x \end{gathered}[/tex]
Plot the graph of y = f(x) and y = f(-x).
(e)
If c is multiplied with f(x) in the quadratic equation y = f(x), the graph of f(x)
