The y-intercept is the point on the y-axis where the graph cuts the y axis.
In our case, the y intercept is at: (0, 3)
The x-intercept is the point on the y-axis where the graph cuts the x-axis.
The x-intercept is at points (-3, 0) and (1, 0)
The vertex is the point where 2 curves meet, a certain point that is the highest(or lowest) along the parabola.
The vertex is at point (-1, 4)
It is a maxima because the gradient changes from positive to negative
The domain is a set of input values (or x values) that satisfy a given function.
Domain from the graph is:
[tex]-4\le x\le2[/tex]
The range of a function is the set of output values (or y-values) for which the function is valid.
The range from the graph is:
[tex]-5\le x\le4[/tex]
The end behavior is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.
[tex]\begin{gathered} \text{ As x tends to -}\infty,\text{ y tends to -}\infty \\ \text{ As x tends to }\infty,\text{ y tends to -}\infty \end{gathered}[/tex]
The function is increasing at the interval:
[tex]-4\le x\le-1[/tex]
The function is decreasing at the interval:
[tex]-1\le x\le2[/tex]
