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What could be the possible value of 'y' after the intersection of points
y= -x2 + 3 and y= x2- 5
- a)√2
- b)3/2
- c)4
- d)√8
- e)-1
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
What could be the possible value of 'y' after the intersection...
We equate the two equations, find the two points of intersection of the two functions and compute the distance using the distance between points formula.
After equating these two equations, we get x= +2 and x=-2 which gives us y=7, and y=-1. Therefore, we select option E is as our correct answer.
Most Upvoted Answer
What could be the possible value of 'y' after the intersection...
To find the intersection point of the two given functions, we can set them equal to each other:
-x^2 + 3 = x^2 - 5
To solve this equation, we can move all terms to one side:
2x^2 = 8
Dividing both sides by 2, we get:
x^2 = 4
Taking the square root of both sides, we have:
x = ±2
Now we can substitute these x-values back into one of the original functions to find the corresponding y-values. Let's use the first function:
y = -x^2 + 3
For x = 2:
y = -(2)^2 + 3 = -4 + 3 = -1
For x = -2:
y = -(-2)^2 + 3 = -4 + 3 = -1
Therefore, the possible value of y after the intersection of the points is y = -1.
-x^2 + 3 = x^2 - 5
To solve this equation, we can move all terms to one side:
2x^2 = 8
Dividing both sides by 2, we get:
x^2 = 4
Taking the square root of both sides, we have:
x = ±2
Now we can substitute these x-values back into one of the original functions to find the corresponding y-values. Let's use the first function:
y = -x^2 + 3
For x = 2:
y = -(2)^2 + 3 = -4 + 3 = -1
For x = -2:
y = -(-2)^2 + 3 = -4 + 3 = -1
Therefore, the possible value of y after the intersection of the points is y = -1.
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