The standard form of a quadratic function is given by f(x) = ax^2 + bx + c, where a, b, and c are constants.
To convert the given function g(x) = -2(x-5)^2 + 17 into standard form, we need to expand the squared term and simplify. Here is the process:
g(x) = -2(x-5)^2 + 17
= -2(x^2 - 10x + 25) + 17
= -2x^2 + 20x - 50 + 17
= -2x^2 + 20x - 33
Therefore, the quadratic function in standard form is:
g(x) = -2x^2 + 20x - 33
A quadratic function is represented by g(x) = -2(x-5)^2 + 17. What is the equation for this function in standard form?
1 answer