Plot the vertex and the axis of symmetry of this function on the provided graph. f(x) = (x + 2)^2 − 6

(-2,-6)

-2

Step-by-step explanation:

To get the vertex take the number that's in the parathenses with the x and flip it's sign (in this case to a negative) which means we have

-2

 this is the x coordinate of the vertex.

Next take the number that's being subtracted (or added) on the outside and leave that as is (-6)

This is the y coordinate

which means we have (-2,-6)

the axis of symmetry is just the x coordinate of the graph

which is -2

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3