What is the end behavior of the graph below ? (CHOOSE 2 ANSWERS)
2 answers:
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1.) Given the <span>equation of a parabola
The vertex form of a parabola is given </span>by
where: (h, k) is the vertex and p is the distance between the vertex and the directrix.
From the equation, the vertex is
and the distance between the vertex and the directrix is 3.
Because, the x-part of the equation is squared and the value of p is positive, this means that the parabola opens up and the directrix is a horizontal line having the value y = c, where c is the y-value of the vertex - 3
Equation of the directrix is
Therefore, the equation of the directrix is
2.) Given the <span>equation of a parabola written in vertex form
The vertex form of a parabola is given </span>by
where: (h, k) is the vertex and p is the distance between the vertex and the directrix.
From the equation, the vertex is
and the distance between the vertex and the directrix is 4.
Because, the y-part of the equation is squared and the value of p is positive, this means that the parabola opens to the right and the directrix is a vertical line having the value x = c, where c is the x-value of the vertex - 4
Equation of the directrix is
Therefore, the equation of the directrix is
The vertex form of a parabola is given </span>by
where: (h, k) is the vertex and p is the distance between the vertex and the directrix.
From the equation, the vertex is
Because, the x-part of the equation is squared and the value of p is positive, this means that the parabola opens up and the directrix is a horizontal line having the value y = c, where c is the y-value of the vertex - 3
Equation of the directrix is
Therefore, the equation of the directrix is
2.) Given the <span>equation of a parabola written in vertex form
The vertex form of a parabola is given </span>by
where: (h, k) is the vertex and p is the distance between the vertex and the directrix.
From the equation, the vertex is
Because, the y-part of the equation is squared and the value of p is positive, this means that the parabola opens to the right and the directrix is a vertical line having the value x = c, where c is the x-value of the vertex - 4
Equation of the directrix is
Therefore, the equation of the directrix is