Problem 5 Each of the following statements regarding the transformation of the function
y=f(x)
is false.

State what is wrong in the statement and provide the correction that would make the statement true. For example, “The sun is a planet.” is a false statement. One possible correct answer is: “Mistake: The sun is not a planet. Correction: The sun is a star.”

Part a)

When graphing the function
y=f(x+3)
, all of the
x
values would be shifted to the right by 3 because the transformation is a shift right by 3 units.

Part b)

When graphing the function
y=−f(x)
, there is a reflection over the
y
-axis.

Part c)

When graphing the function
y=2f(x)
, all of the
y
values would be multiplied by
12
because the transformation is a vertical compression by a factor of 2.

When graphing the function y = f(x+3), all of the x values would be shifted to the right by 3 because the transformation is a shift right by 3 units.

When graphing the function y=−f(x), there is a reflection over the y-axis

When graphing the function y=2f(x), all of the y-values would be multiplied by 2 because the transformation is a vertical compression by a factor of 2.

Note: "multiplied by 12" considered as typo otherwise this is to be included as correction

the answer is A When graphing the function

y=f(x+3)

, all of the

x

values would be shifted to the right by 3 because the transformation is a shift right by 3 units.

the barter

exa:

)

3+11

14

step-by-step explanation:

from this example, we can see that subtracting with integers is the same as adding the opposite. we can solve using a number line or by using the saying "keep, change, change" to us solve. it is important to remember that we can subtract a negative and end up with a larger number than we started with.