Question

Which quadratic function is represented by the table? f(x) = 3x2 2x – 5 f(x) = 3x2 – 2x 5 f(x) = 2x2 3x – 5 f(x) = 2x2 – 2x 5

Answer 1

For the values of x, the quadratic function f(x) = 3x² – 2x + 5 is satisfied. Then the correct option is B.

What is a quadratic equation?

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

At x = –2, the f(x) will be

f(x) = 3x² – 2x + 5

f(x) = 3(–2)² – 2(–2) + 5

f(x) = 12 + 4 + 5

f(x) = 21

At x = –1, the f(x) will be

f(x) = 3x² – 2x + 5

f(x) = 3(–1)² – 2(–1) + 5

f(x) = 3 + 2 + 5

f(x) = 10

At x = 0, the f(x) will be

f(x) = 3x² – 2x + 5

f(x) = 3(0)² – 2(0) + 5

f(x) = 0 + 0 + 5

f(x) = 5

At x = 1, the f(x) will be

f(x) = 3x² – 2x + 5

f(x) = 3(1)² – 2(1) + 5

f(x) = 3 – 2 + 5

f(x) = 6

At x = 2, the f(x) will be

f(x) = 3x² – 2x + 5

f(x) = 3(2)² – 2(2) + 5

f(x) = 12 – 4 + 5

f(x) = 13

More about the quadratic equation link is given below.

https://brainly.com/question/2263981