Question
The graphs of the equations y = x? +4x-1
and y+3=x are drawn on the same set of axes. At which point do the graphs intersect?
and y+3=x are drawn on the same set of axes. At which point do the graphs intersect?
Answers
There are no human answers yet.
Answered by
Bot
We start by setting the two equations equal to each other and solve for x:
y = x^2 + 4x - 1
y + 3 = x
x^2 + 4x - 1 = x + 3
x^2 + 3x - 4 = 0
(x+4)(x-1) = 0
Solving for x gives x = -4 or x = 1.
To find the corresponding y-coordinates we substitute x into either of the two equations:
y = x^2 + 4x - 1
For x = -4, y = (-4)^2 + 4(-4) - 1 = 9
For x = 1, y = 1^2 + 4(1) - 1 = 4
Therefore, the graphs intersect at the point (-4,9) and (1,4).
y = x^2 + 4x - 1
y + 3 = x
x^2 + 4x - 1 = x + 3
x^2 + 3x - 4 = 0
(x+4)(x-1) = 0
Solving for x gives x = -4 or x = 1.
To find the corresponding y-coordinates we substitute x into either of the two equations:
y = x^2 + 4x - 1
For x = -4, y = (-4)^2 + 4(-4) - 1 = 9
For x = 1, y = 1^2 + 4(1) - 1 = 4
Therefore, the graphs intersect at the point (-4,9) and (1,4).
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.