The function is 




Take square root each side.
\
Solutions are
.

The function is 

Solution is
.

The functions are
and 



Take out common factor.
\

or 
Solutions are
or
.

The function 

To solve the above inequality graph the related quadratic equation
.
Find the intercepts.
\Find the
-intercept by substituting
in
.




The
-intercepts are
,
.
Find the
-intercept by substituting
in
.


-intercept is
.
Find the vertex of above quadratic function
.

Compare it to
.
,
and
.
Since
, then the parabola open downward.

coordinate of vertex is 



Vertex
.
Graph
\Draw the coordinate plane.
\Plot the intercepts and vertex.
\Connect the plotted points.
\ \Since the inequality symbol is
, the solutions
are not included in the solution of the inequality.
The graph is above the
-axis
between
and
. The inequality solution set is
.

The function is
.


Multiply each side by negative one and flip the symbol.
\
Divide each side by
.

The inequality solution set is
.

The functions are
.



To solve the above inequality graph the related quadratic equation
.
Find the intercepts.
\Find the
-intercept by substituting
in
.



or 
The
-intercepts are
,
.
Find the
-intercept by substituting
in
.


-intercept is
.
Find the vertex of above quadratic function
.

Compare it to
.
,
and
.
Since
, then the parabola open downward.

coordinate of vertex is 




Vertex
.
Graph
\Draw the coordinate plane.
\Plot the intercepts and vertex.
\Connect the plotted points.
\ \Since the inequality symbol is
, the solutions
are not included in the solution of the inequality.
The graph is above the
-axis
between
and
. The inequality solution set is
.

The function
.



To solve the above inequality graph the related quadratic equation
.
Find the intercepts.
\Find the
-intercept by substituting
in
.





or
.
The
-intercepts are
,
.
Find the
-intercept by substituting
in
.


-intercept is
.
Find the vertex of above quadratic function
.

Compare it to
.
,
and
.
Since
, then the parabola open downward.

coordinate of vertex is 



Vertex
.
Graph
\Draw the coordinate plane.
\Plot the intercepts and vertex.
\Connect the plotted points.
\ \Since the inequality symbol is
, the solutions
are included in the solution of the inequality.
The graph is above the
-axis
between
and
.
The inequality solution set is
.
Solutions are
.
Solution is
.
Solutions are
or
.
The inequality solution set is
.
The inequality solution set is
.
The inequality solution set is
.
The inequality solution set is
.