Advanced MathHardVertex from factored form
Advanced Math practice question
The function z is defined by z(x) = (x − 6)(x + 2). What are the coordinates of the vertex of the graph of y = z(x)?
- A. (2, −16)Correct
- B. (2, −12)
- C. (−2, 0)
- D. (4, −12)
Answer: A. (2, −16)
The zeros are 6 and −2, so the axis is x = 2, and z(2) = (−4)(4) = −16.
Why the other answers are wrong
- B. (2, −12)
- −12 is z(0), the y-intercept.
- C. (−2, 0)
- (−2, 0) is a zero, not the vertex.
- D. (4, −12)
- x = 4 is not midway between the zeros.
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