Which of the following points is a vertex for the image produced by a dilation about the origin with a scale factor of ? A. (10, 2)

Answer 1

I'll assume you are being asked about a second order polynomial of the general form f(x) = ax² + bx + c, where a, b, and c are real numbers and a ≠ 0. The standard form of the quadratic function is f(x) = a (x - h)² + k. The vertex (h, k) can be found with the following equations: h = -b/2a and k = f(-b/2a). The question asks you to identify the vertex for an image produced by some dilation (vertical/horizontal stretch/compress). In the following cases, use z as a constant for dilation. For the vertical dilation case, z*f(x), the new vertex coordinates are (h, zk). For the horizontal dilation case, f(x/z), the new vertex coordinates are (h/z, k).