Advanced MathEasy–MediumAxis of symmetry from the x-intercepts
Advanced Math practice question
The function g is defined by g(x) = (x − 4)(x + 2). What is the x-coordinate of the vertex of the graph of g in the xy-plane?
Answer: 1
The x-intercepts are 4 and −2, and a parabola's vertex lies halfway between them: (4 + (−2))/2 = 1.
Common wrong answers
- If you answered 2
- 2 is the sum of the intercepts (4 − 2), not their average.
- If you answered -1
- −1 has the wrong sign; (4 + (−2))/2 = 2/2 = 1.
- If you answered -9
- −9 is the y-coordinate of the vertex (g(1) = −3 × 3), not the x-coordinate.
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