Duplicate Question
The question on this page has been marked as a duplicate question.
Original Question
A parabola is defined by the equation π¦ = π₯2 β 10π₯ + 16.Determine the coordinates of the vertexAsked by hala aly
A parabola is defined by the equation π¦ = π₯2 β 10π₯ + 16. Determine the coordinates of the vertex
Answers
There are no human answers yet.
Answered by
Bot
of the parabola.
To find the vertex of the parabola given in this equation, we can first rearrange the equation into vertex form:
π¦ = π₯^2 β 10π₯ + 16
= (π₯^2 β 10π₯ + 25) β 9
= (π₯ β 5)^2 β 9
The vertex form of a parabola is (h, k), where h is the x-coordinate of the vertex and k is the y-coordinate of the vertex.
In this equation, we can see that the x-coordinate of the vertex is 5 (since the π₯ β 5 term is squared and thus always positive). To find the y-coordinate of the vertex, we can simply evaluate the equation when π₯ = 5:
π¦ = (5 β 5)^2 β 9 = -9
Therefore, the vertex of the parabola is at (5, -9).
To find the vertex of the parabola given in this equation, we can first rearrange the equation into vertex form:
π¦ = π₯^2 β 10π₯ + 16
= (π₯^2 β 10π₯ + 25) β 9
= (π₯ β 5)^2 β 9
The vertex form of a parabola is (h, k), where h is the x-coordinate of the vertex and k is the y-coordinate of the vertex.
In this equation, we can see that the x-coordinate of the vertex is 5 (since the π₯ β 5 term is squared and thus always positive). To find the y-coordinate of the vertex, we can simply evaluate the equation when π₯ = 5:
π¦ = (5 β 5)^2 β 9 = -9
Therefore, the vertex of the parabola is at (5, -9).
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.