which quadratic function is represented by the table?
a f(x) = 3x^2 + 2x – 5
b f(x) = 3x^2 – 2x + 5
c f(x) = 2x^2 + 3x – 5
d f(x) = 2x^2 – 2x + 5

f(x) = 3x² – 2x + 5.

Step-by-step explanation:

Given : Table with x and f(x).

To find : Which quadratic function is represented by the table.

Solution : We have given that

We need to plug different values of x in f(x).

For x = -2.

f(x) = 3x² – 2x + 5

f(-2) = 3(-2)² – 2(-2) + 5.

f(-2) = 12 + 4 + 5.

f(-2) = 21.

f(-1) = 3(-1)² – 2(-1) + 5.

f(-1)   = 3 + 2+ 5.

f(-1)   = 10.

Therefore, f(x) = 3x² – 2x + 5.

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

tap for more

m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0