Question

A quadratic function passes through the points(-3,28),(0,-2),and (2,8). What equation of the function in standard form?

f(x)=3x^2-2x-1
f(x)=3x^2-x+2
f(x)=3x^2-x-2
f(x)=3x^2+2x-1

Answer 1

To find the equation of the quadratic function passing through three points, substitute the points into the equation and solve the system of equations. The correct equation is f(x) = 3x^2 - x - 2.

Step-by-step explanation:

To find the equation of the quadratic function, we can use the fact that it passes through three points: (-3, 28), (0, -2), and (2, 8). We can substitute these points into the equation of the quadratic function to get three equations.

By solving this system of equations, we can find the coefficients of the quadratic function and write it in standard form.

The correct equation of the function in standard form is f(x) = 3x^2 - x - 2.