Respuesta :

Given:

There are given a graph of the parabola.

Explanation:

According to the question:

We need to find the direction, axis symmetry, vertex, and intercept of the parabola.

Then,

(a): For the direction of a parabola:

We can see that in the graph:

The direction of the graph is downward.

(b): For the equation of the axis of symmetry:

We can see in the graph, the x-intercept is:

[tex]x=-2[/tex]

Then,

[tex]x+2=0[/tex]

(c): For the vertex of parabola:

The vertex of the parabola:

[tex]vertex:(-2,0)[/tex]

(d): For the intercept for the given:

To find the x and y-intercept, we need to check to intersect point.

Then,

For the x-intercept:

[tex]x-intercept:(-2,0)[/tex]

And,

The y-intercept is:

[tex]y-intercept:(0,-1)[/tex]

Final answer:

Hence, the value of part a, b, c, and d is shown below:

[tex]\begin{gathered} (a):direction:downward \\ (b):x+2=0 \\ (c):(-2,0) \\ (d):x-intercept:-2 \\ :y-intercept:-1 \end{gathered}[/tex]

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