If two graphs Y px2 q and y 2x2 1 intersect at ... - JAMB Mathematics 2024 Question
If two graphs Y = px2 + q and y = 2x2 − 1 intersect at x =2, find the value of p in terms of q
A
q − \(\frac{8}{7}\)
B
7 − \(\frac{q}{4}\)
C
8 − \(\frac{q}{2}\)
D
7 + \(\frac{q}{8}\)
Ask EduPadi AI for a Detailed Answer
Correct Option: B
To find the value of p in terms of q, substitute x = 2 into both equations and equate the values of y:
For y = px2 + q, we get y = 4p + q.
For y = 2x2 - 1, we get y = 8 - 1 = 7.
Equating the two expressions for y:
4p + q = 7.
Solving for p:
4p = 7 - q,
p = \(\frac{7 - q}{4}\).
Please share this, thanks:
#JAMB #JAMB
Add your answer
No responses