MATH SOLVE

10 months ago

Q:
# The function ƒ(x) is modified as follows: It is multiplied by –3. x is replaced by x + 3. The new function is graphed. Which of the following effects on the graph of ƒ(x) are needed to produce the new graph? Choose all that apply.horizontal translationvertical translationdilationreflection over the x-axisreflection over the y-axis

Accepted Solution

A:

First the function f(x) is multiplied by -3. This involves 2 changes:

a) Multiplication by 3

This implies dilation

b) Multiplication by -1

This implies reflection of function over x-axis

Next x is replaced by x+ 3. This means the function is shifted to left by 3 units.

So this overall transformation results in following 3 changes:

Horizontal Translation, Dilation and Reflection along x-axis

a) Multiplication by 3

This implies dilation

b) Multiplication by -1

This implies reflection of function over x-axis

Next x is replaced by x+ 3. This means the function is shifted to left by 3 units.

So this overall transformation results in following 3 changes:

Horizontal Translation, Dilation and Reflection along x-axis