Asked by Jane
On graph paper, use a table to make a complete graph of y = x2 − 2x − 8. Homework Help ✎
Write the coordinates of the y-intercept. What is the connection between the y‑intercept and the equation y = x2 − 2x − 8?
Write the coordinates of the x-intercepts.
What is the lowest point on the graph?
Write the coordinates of the y-intercept. What is the connection between the y‑intercept and the equation y = x2 − 2x − 8?
Write the coordinates of the x-intercepts.
What is the lowest point on the graph?
Answers
Answered by
Steve
Of course, it is not possible to make a "complete" graph of a parabola on finite graph paper.
If y = x^2-2x-8 then clearly the y-intercept is -8, since that's what you get when x=0
x^2-2x-8 = (x-1)^2 - 9
So the vertex is at (1,-9), which is the lowest point on the graph.
For the x-intercepts, y=0, so
x-1 = ±3, so x = -2 or 4
If y = x^2-2x-8 then clearly the y-intercept is -8, since that's what you get when x=0
x^2-2x-8 = (x-1)^2 - 9
So the vertex is at (1,-9), which is the lowest point on the graph.
For the x-intercepts, y=0, so
x-1 = ±3, so x = -2 or 4
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.