To answer the question of which quadratic function in standard form has the values [tex]\(a = -3.5\)[/tex], [tex]\(b = 2.7\)[/tex], and [tex]\(c = -8.2\)[/tex], we need to recall the general form of a quadratic function. The standard form of a quadratic function is given by:
[tex]\[ f(x) = ax^2 + bx + c \][/tex]
Given the coefficients:
- [tex]\( a = -3.5 \)[/tex]
- [tex]\( b = 2.7 \)[/tex]
- [tex]\( c = -8.2 \)[/tex]
we can plug these values into the quadratic form to construct the function:
[tex]\[ f(x) = -3.5x^2 + 2.7x - 8.2 \][/tex]
Therefore, the correct quadratic function in standard form is:
[tex]\[ f(x) = -3.5 x^2 + 2.7 x - 8.2 \][/tex]
Among the given options, the correct one is:
[tex]\[ f(x) = -3.5 x^2 + 2.7 x - 8.2 \][/tex]
So the correct answer is:
[tex]\[ f(x) = -3.5 x^2 + 2.7 x - 8.2 \][/tex]
