(a)
\The function is .
Rewrite the function as .
Plotting points method is preferred.
\Make the table of values to find ordered pairs that satisfy the equation.
\Choose values for and find the corresponding values for
.
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This is linear function form in quadratic general equation form.
\So, the plotting points method use to graph a function.Zero function of f is.
.
The function graph is
(b)
\The function .
This is quadratic family function.
\So, the translating method use to graph a function. The parent function .
The graph of is a horizontal shift of one unit to the right followed by a vertical stretch followed by a downward shift of six units of the graph of
.
The function and
, graph is