Fox2110which quadratic function is represented by the table? o f(x) -3x2 2x 5f(x) 2x2 -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:

.

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 ,

=

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

=

Putting x=0,

=

Putting x=1,

=

Putting x=2,

=13

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

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.