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

B

Explanation:

Answer 2

The answer is 3x^2 - 2x + 5.

Explanation:

The value of x is given by f(x), the quadratic equation is given by:

3x^2 - 2x + 5

Substituting all the values of x in the equation

If x = -2 in the quadratic equation , 3x^2 - 2x + 5

3(-2)^2 - 2(-2) + 5

3(4) + 4 + 5 = 21

Again, substituting x= -1 in the same equation, we have

3(-1)^2 - 2(-1) + 5

3 + 2 + 5 = 10

Putting x=0,

3(0)^2 - 2(0) + 5 = 0

Putting x=1,

3(1)^2 - 2(1) + 5

3 - 2 + 5 = 6

Putting x=2,

3(2)^2 - 2(2) + 5

3(4) - 4 + 5 = 13

Hence, the quadratic equation which is represented by the table is

3x^2 - 2x + 5