Describing Transformations...2

[nycmathguy]

Section 1.7
Questions
22, 24, 26, 28, 30

See attachment.

For questions 22, 24, 26, 28, and 30, I will do parts (a) and (b) only.

22a. The parent function is f(x) = x^2.
22b. The parent function has been shifted downward by 2 units to form g(x).

24a. The parent function is f(x) = x^3.
24b. The parent function has been shifted 1 unit to the left and flipped upside-down to form g(x).

26a. The parent function is f(x) = x^2.
26b. We can write g(x) as -x^2 + 4. So, the parent function has been shifted 4 units upward and flipped upside-down to form g(x).

28a. The parent function is f(x) = | x |.
28b. The parent function has been shifted 3 units to the left and downward by 2 units to form g(x).

30a. The parent function is f(x) = sqr{x}.
30b. The parent function has been multiplied by a factor of 1/2 to form g(x). Does 1/2 stretch or shrink the function?

You say?

P. S. Moving forward less questions per section. As long as the concept is understood, there's no need to post so many questions. At this rate, I will complete precalculus at 90 years old.

 

[MathLover1]

all is correct, and for

30b it is horizontal compression (shrink)

In general:
y= a*sqrt(x)
a >1: vertical stretch
a<1 horizontal compression (shrink)

 

[nycmathguy]

all is correct, and for

30b it is horizontal compression (shrink)

In general:
y= a*sqrt(x)
a >1: vertical stretch
a<1 horizontal compression (shrink)

Very good. Easy.