Question

Each statement describes a transformation of the graph of y= x. Which statement correctly describes the graph of y= x - 8?

Answer 1

Answer:

The function $y = x$ is shifted downwards by 8 units

Step-by-step explanation:

Given

$y = x$

Required

Determine the transformation that gives: $y = x-8$

When a function f(x) is shifted by b units, the new function g(x) is g(x) = f(x) - b

In this case:

$y = x$

$b = 8$

So, the new function is:

$y = x - b$

Substitute 8 for b

$y = x - 8$

Hence, the function is shifted 8 units downward