Writing Equations From Graphs

[nycmathguy]

Section 1.7
Questions 16, 18, 20

See attachment.

For 16, the parent function is f(x) = x. The parent function has been shifted down by 1/2 unit. The equation represented by the graph is f(x) = x - 1/2.

For 18, the parent function is f(x) = [[ x ]]. The parent function has been shifted 4 units to the left. The equation represented by the graph is
f(x) = [[x + 4]].

For 20, the parent function is f(x) = | x |. The parent function has been shifted 2 units to the left. The equation represented by the graph is
f(x) = | x + 4 |.

 

[MathLover1]

16. the parent function is f(x) = x.
The parent function has been shifted down by 1/2 unit.?????????????????? take a close look, the line passes through ORIGIN, it's not shifted down
The equation represented by the graph is f(x) = x

18.
f(x) = [[x + 4]].-> correct

20.
The parent function has been shifted 2 units to the left. -> correct
The equation represented by the graph is
f(x) = | x + 2 |

 

[nycmathguy]

16. the parent function is f(x) = x.
The parent function has been shifted down by 1/2 unit.?????????????????? take a close look, the line passes through ORIGIN, it's not shifted down
The equation represented by the graph is f(x) = x

18.
f(x) = [[x + 4]].-> correct

20.
The parent function has been shifted 2 units to the left. -> correct
The equation represented by the graph is
f(x) = | x + 2 |

I clearly see my error. Remember that I am working all problems on lack of sleep.