Question

I really dont get this -

Given the function k(x) = x2, compare and contrast how the application of a constant, c, affects the graph. The application of the constant must be discussed in the following manners:
k(x + c)
k(x) + c
k(cx)
c • k(x)

Answer 1

me either. sorry.

Answer 2

okay ?

Answer 3

I gather you haven't covered transformations? hmmm well, you can check it at http://www.youtube.com/watch?v=3Q5Sy034fok

let us change the k(x) for the sake of less ambiguity make it f(x)

so f(x + c)
f(x) + c
f(cx)
c • f(x)

\(\large{ \textit{parent function }\implies {\color{red}{ x^2}}\\ \quad \\
\begin{array}{llll}
f(x + c)\implies &({\color{red}{ x+c}})^2\\ \quad \\
&\qquad \uparrow \\
&\textit{horizonal shift, positive, thus to the left}\\
f(x) + c\implies {\color{red}{ x^2}}&+c\\ \quad \\
&\uparrow \\
&\textit{vertical shift, positive, thus upwards}\\
f(cx)\implies &({\color{red}{ c\cdot x}})^2\implies c^2x^2\\ \quad \\
&\uparrow \\
&\textit{shrinks the graph by a factor of }c^2\\
c \cdot f(x)\implies &c\cdot {\color{red}{ x^2}}\\
&\uparrow \\
&\textit{shrinks the graph by a factor of }c\\
\end{array}}\)