The equation is
Quadratic function represents parabola in the graph.
\Compared to the quadratic function
since then the parabola open downwards.
Vertex is
Axis of symmetry
Axis of symmetry is
Vertex is
Find the - intercepts by substituting
in
.
and
Find the - intercept by substituting
in
.
Graph:
\Draw the coordinate plane.
\Plot the axis of symmetry, vertex and intercepts.
\Connect the plotted points with smooth curve.
\ \\ \
Domain of the quadratic function is all real numbers.
Domain set of is
.
Domain in interval notation
Range set of is
.
Range in interval notation .
Increasing .
Decreasing .