Question

In the standard (x,y) coordinate plane, the graph of y = 30(x + 17)2 - 42 is a parabola. What are the coordinates of the vertex of the parabola?"

Answer 1

The vertex of the parabola given by the equation y = 30(x + 17)^2 - 42 is at the coordinates (-17, -42).

Step-by-step explanation:

The student has asked for the coordinates of the vertex of the parabola represented by the equation y = 30(x + 17)2 - 42. To find the coordinates, we need to understand the vertex form of a parabola's equation, which is y = a(x - h)2 + k, where (h, k) are the coordinates of the vertex. If we compare this to the given equation, we see that it is already in vertex form, where a is 30, h is -17, and k is -42. Therefore, the coordinates of the vertex of the given parabola are (-17, -42).