Question

Write a quadratic function in standard form whose graph passes through the given points.

(-1, -2), (0, -3), (1, 0)

A. y = x^2 - 3x - 2
B. y = -x^2 + 3x - 2
C. y = -x^2 - 3x - 2
D. y = x^2 + 3x - 2

Answer 1

The correct quadratic function in standard form is y = x^2 + 3x - 2.Correct option is B.

Step-by-step explanation:

quadratic function in standard form, we can use the given points to form a system of equations. Let's use the general form of a quadratic equation:

y = ax^2 + bx + c

substitute the x and y values from each point into this equation to get three equations. Solving the system of equations will give us the values of a, b, and c. Plugging these values back into the general form will give us the quadratic function in standard form.

The correct quadratic function in standard form is option D. y = x^2 + 3x - 2.