If you shift the linear parent function, f(x)=x, up 13 units, what is the equation of the new function?

f(x) = x + 13

Step-by-step explanation:

Given f(x) then f(x) + c represents a vertical translation

• If c > 0 then vertical shift up ↑ of c units

• If c < 0 then vertical shift down ↓ of c units

here c = + 13, hence

f(x) = x + 13

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

there are infinitely many solutions.