Select the graph of the following equation, showing both sets of axes.

Question

Select the graph of the following equation, showing both sets of axes. ​  ​

Quizplus · Accepted Answer

The equation is a quadratic equation in standard form, which is y = ax^2 + bx + c. Since a is positive, the graph will be a parabola that opens upwards. The vertex of the parabola will be at the point (-b/2a, c). From the given equation, we have a = 1, b = -6, and c = 9. Therefore, the vertex of the parabola is at the point (3, 9).

Option A and B can be eliminated because the vertex of the parabola is not at the given coordinates. Option D and E can be eliminated because the parabola does not open upwards. Therefore, the best choice is C, which shows a parabola that opens upwards and has the vertex at (3, 9).

Select the Graph of the Following Equation, Showing Both Sets