Question

F(x)=-x^2+3x-2 which of the following is the graph of the function above

Answer 1

The graph labeled "A" represents the function
`\(f(x) = -x^2 + 3x - 2\)`. As a quadratic function, it forms a downward-facing parabola.

The function
`\(f(x) = -x^2 + 3x - 2\)` is a quadratic function, and its graph is a downward-facing parabola since the coefficient of the
`\(x^2\)` term is negative.

1. The vertex of the parabola can be found using the formula
`\(x = (-b)/(2a)\)` and
`\(y = f\left((-b)/(2a)\right)\)`, where a, b, and c are the coefficients of the quadratic equation ax^2 + bx + c.

2. The axis of symmetry is the vertical line passing through the vertex.

3. Determine the direction of opening, which is downward in this case.

Therefore, graph A is the answer.