Question on: JAMB Mathematics - 2024
If two graphs \(y = px^2 + q\) and \(y = 2x^2 - 1\) 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
Substitute \(x = 2\) into both equations:
\(y = 4p + q\)
\(y = 8 - 1 = 7\)
Equate:
\(4p + q = 7\)
Solve for p:
\(p = \frac{7 - q}{4}\)
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