which quadratic function is the standard form of the equation shown?\n$f(x)=x + 8 + 2x + 5x^{2}$\n$f(x)=8 +…

which quadratic function is the standard form of the equation shown?\n$f(x)=x + 8 + 2x + 5x^{2}$\n$f(x)=8 + 5x^{2}+2x + x$\n$f(x)=x + 2x + 5x^{2}+8$\n$f(x)=8 + 3x + 5x^{2}$\n$f(x)=5x^{2}+3x + 8$

which quadratic function is the standard form of the equation shown?\n$f(x)=x + 8 + 2x + 5x^{2}$\n$f(x)=8 + 5x^{2}+2x + x$\n$f(x)=x + 2x + 5x^{2}+8$\n$f(x)=8 + 3x + 5x^{2}$\n$f(x)=5x^{2}+3x + 8$

Answer

Explanation:

Step1: Combine like - terms

Combine the (x) terms: (x+2x = 3x). The original function (f(x)=x + 8+2x + 5x^{2}) becomes (f(x)=5x^{2}+(x + 2x)+8).

Step2: Write in standard form

The standard form of a quadratic function is (f(x)=ax^{2}+bx + c) (where (a\neq0), and (a), (b), (c) are constants). For (f(x)=5x^{2}+3x + 8), (a = 5), (b=3), (c = 8).

Answer:

(f(x)=5x^{2}+3x + 8) (the fourth option)