Question

Answer the questions about the key characteristics of the function below.



(4 points)
Axis of Symmetry:
Does this function have a minimum or maximum?
x-Intercepts
y-intercept
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Answer 1

I don’t see the function or graph — could you paste the equation or upload the graph? I can’t determine the axis of symmetry, intercepts, or whether there’s a min/max without it.

While you get that to me, here are the quick formulas and steps I’ll use to answer each item for a quadratic y = ax^2 + bx + c:

- Axis of symmetry: x = −b / (2a).
- Minimum vs maximum: if a > 0 the parabola opens up → minimum at the vertex; if a < 0 it opens down → maximum at the vertex.
- Vertex: x_v = −b/(2a); y_v = f(x_v). (In vertex form y = a(x − h)^2 + k, the vertex is (h,k) and axis is x = h.)
- x-intercepts: solve ax^2 + bx + c = 0. Use the quadratic formula x = [−b ± sqrt(b^2 − 4ac)]/(2a). If discriminant D = b^2 − 4ac > 0 there are two real x-intercepts, D = 0 one real (double) intercept, D < 0 none (complex).
- y-intercept: f(0) = c.

Send the function (or image) and I’ll compute these values exactly.