Question 3 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY
Nina knows that the average of the x -intercepts represents the line of symmetry for a quadratic function through the x -axis. Which equation represents the average of the x -intercepts for f of x is equal to 4 x squared minus 24 x plus 20 ?
Answer
A
the fraction with numerator 1 plus 5 and denominator 2 is equal to 3
B
the fraction with numerator negative 10 minus 2 and denominator 2 is equal to negative 4
C
the fraction with numerator negative 5 minus 1 and denominator 2 is equal to negative 3
D
the fraction with numerator 2 plus 10 and denominator 2 is equal to 4
Explanation
Set the function equal to zero to find its x-intercepts: 4x² − 24x + 20 = 0. Dividing by 4 gives x² − 6x + 5 = (x − 1)(x − 5), so the intercepts are 1 and 5. Their average is (1 + 5) / 2 = 3, which is choice A.
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