Answer:
4. Horizontal shrink by a factor of ¹/₅
5. Left 5, Up 5
6. Right 5, Down 5
Step-by-step explanation:
Transformations of Graphs (functions) is the process by which a function is moved or resized to produce a variation of the original (parent) function.
<u>Transformations</u>
For a > 0
Identify the transformations that take the parent function to the given function.
<u>Question 4</u>
Comparing the parent function with the given function, we can see that the <u>x-value of the parent function</u> has been <u>multiplied</u> by 5.
Therefore, the transformation is:
As a > 1, the transformation visually is a compression in the x-direction, so we can also say: Horizontal shrink by a factor of ¹/₅
<u>Question 5</u>
Comparing the parent function with the given function, we can see that there are a series of transformations:
<u>Step 1</u>
5 has been <u>added to the x-value</u> of the parent function.
<u>Step 2</u>
5 has then been <u>added to function</u>.
<u>Transformation</u>: Left 5, Up 5
<u>Question 6</u>
Comparing the parent function with the given function, we can see that there are a series of transformations:
<u>Step 1</u>
5 has been <u>subtracted from the x-value</u> of the parent function.
<u>Step 2</u>
5 has then been <u>subtracted from function</u>.
<u>Transformation</u>: Right 5, Down 5
Learn more about graph transformations here: