Write An Equation From A Graph...4

[nycmathguy]

Section 1.7
Question 14

See attachment.

For 14a, f(x) = sqrt{x} has been shifted one unit to the left and downward 7 units.

Answer: f(x) = sqrt{x + 1} - 7.

For 14b, f(x) = sqrt{x} has been shifted 3 units to the right and downward by 4 units. The graph has also been reversed.

Answer: f(x) = -sqrt{x - 3} - 4.

You say?

 

[MathLover1]

14a correct

14b f(x) = sqrt{x} has been shifted 3 units to the right and downward by 4 units -> correct
also the graph is reflected about x and y axis

Answer: f(x) = -sqrt{ 3-x } - 4

 

[nycmathguy]

14a correct

14b f(x) = sqrt{x} has been shifted 3 units to the right and downward by 4 units -> correct
also the graph is reflected about x and y axis

Answer: f(x) = -sqrt{ 3-x } - 4

View attachment 199

Why do we switch the radicand from (x - 3) to (3 - x)?