Question

This graph represents a quadratic function. The graph shows a downward parabola vertex at (0, 9) and passes through (minus 4, minus 7), (minus 3, 0), (3, 0), and (4, minus 7). What is the value of a in this function’s equation? A. 2 B. 1 C. -1 D. -2

Answer 1

To find the value of 'a' in the quadratic function's equation, we can use the given points and the equation of a quadratic function with a vertex.

Step-by-step explanation:

The equation of the quadratic function can be written in the form y = ax^2 + bx + c. Since the vertex of the graph is at (0, 9), the equation can be written as y = ax^2 + 9. Substituting the points (3, 0), (4, -7), and (-3, 0) into the equation gives us three equations:

• 0 = 9a + 9
• -7 = 16a + 9
• 0 = 9a + 9

Solving these equations will give us the value of a.