Question

A students claims that the graph of the equation y = 4(x - 8) is the same as the graph y= 4x only translated downwards by 8 units. Do you agree? Explain why or why not?

Answer 1

Answer:

I don't agree

Step-by-step explanation:

y = 4(x-8) can be rewritten as 4x - 32 since we can use distribution to multiply 4 to x and -8. However, the student claims y = 4x-8 is the same as 4(x-8), which isn't true.

Answer 2

The student's claim that the graph of the equation y = 4(x - 8) is the same as the graph y= 4x is incorrect

Transformation

Function transformation involves changing the form of the function

The original function is given as:

$y = 4x$

Translation

When the function is translated downward by 8 units, the rule of the translation is:

$(x,y) \to (x,y-8)$

So, the new function is:

$y = 4x -8$

By comparison:

$y = 4x -8$ and $y = 4(x -8)$ are not the same

Hence, the student's claim is incorrect

Read more about function transformation at:

https://brainly.com/question/1548871