Chapter 5 Polynomials and Polynomial Functions - 5.2 Evaluate and Graph Polynomial Functions - 5.2 Exercises - Mixed Review - Page 344: 75

$y=-3x^2+30x-100$

The given quadratic function is $y=-3(x-5)^2-25$. Let us use the formula $(a-b)^2=a^2-2ab+b^2$ to expand $(x-5)^2$. $y=-3(x^2-10x+25)-25$ $y=-3x^2+30x-75-25$ $y=-3x^2+30x-100$ Therefore the given quadratic function in standard form is $y=-3x^2+30x-100$.