Question

Fox2110Which quadratic function is represented by the table?o f(x) -3x2 2x 5f(x) 2x2 -2x 5

Answer 1

B) f(x) = 3x^2 -2x + 5

Answer 2

Answer:

$3x^{2}-2x+5$

Step-by-step explanation:

The value for each value of x is given by f(x) in the table, the quadratic equation which satisfies all the values f(x)  at each value of x is given by:

$3x^{2}-2x+5$.

This can be found by substituting all the values of x in the equation and check whether it satisfies the corresponding value f(x) or not.

Therefore, substituting 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,

$3(0)^{2}-2(0)+5$

=$5$

Putting x=1,

$3(1)^{2}-2(1)+5$

=$6$

Putting x=2,

$3(2)^{2}-2(2)+5$

=13

Hence, the quadratic equation which is represented by the table is $3x^{2}-2x+5$