Question

Identify the vertex by writing the equat r(x)=-(5)/(2)x²+2

Answer 1

The vertex of the quadratic function is (0, 2).

Step-by-step explanation:

The equation r(x) = -5/2x² + 2 represents a quadratic function. The vertex of a quadratic function can be found using the formula x = -b/2a, where a, b, and c are the coefficients of the quadratic equation in the form ax² + bx + c = 0.

In this equation, a = -5/2, b = 0, and c = 2. Plug these values into the formula to find the x-coordinate of the vertex.

x = -0/2(-5/2) = 0. The x-coordinate of the vertex is 0. To find the y-coordinate, substitute this value back into the equation: r(0) = -(5/2)(0)² + 2 = 2. The vertex of the function is (0, 2).