Question

Using the graph, determine the coordinates of the vertex of the parabola. -10 -9 -8 7 -6 -5 24 73 -2 -1 10 Ch 00 9 7 16 5 14 y -B -9 -10 1 2 3 14 5 G 7 9 10​

Answer 1

The coordinates of the vertex of the parabola are (-2, 24).

The vertex of a parabola can be determined from its graph by locating the point where the curve reaches its maximum or minimum value. In this case, we can see that the parabola opens upward and has a minimum point.

To find the x-coordinate of the vertex, we can use the formula x = -b/2a, where a and b are the coefficients of the quadratic equation in the form ax^2 + bx + c. In this case, since we don't have the equation of the parabola, we'll use the x-coordinate of the point where the parabola reaches its maximum.

From the graph, it looks like the vertex has an x-coordinate of -2. To find the y-coordinate, we simply substitute this x-coordinate into the equation of the parabola. From the graph, it appears the y-coordinate is 24. Therefore, the coordinates of the vertex are (-2, 24).