Advanced MathMediumy-coordinate of the vertex from factored form
Advanced Math practice question
The function g is defined by g(x) = (x + 3)(x − 5). In the xy-plane, what is the y-coordinate of the vertex of the graph of g?
Answer: -16
The x-intercepts are −3 and 5, so the axis of symmetry is x = 1. Then g(1) = (4)(−4) = −16.
Common wrong answers
- If you answered 1
- 1 is the x-coordinate of the vertex.
- If you answered 16
- 16 has the wrong sign: (4)(−4) = −16.
- If you answered -15
- −15 is the y-intercept, g(0) = (3)(−5).
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