(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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1.Draw a coordinate plane.
\2.Plot the coordinate points.
\3.Then sketch the graph, connecting the points with a smooth curve.
\Graph of the function is :
(b)
\The function .
This is quadratic family function.
\So, the translating method is used 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 graph of the function is :
(a)
\Graph of the function is :
(b)
\The graph of the function is :