Question

The black graph is the graph of y = f(x).Choose the equation for the red graph.A. y - 5 = f(x)B. * = f(x + 5)C. } = f(x - 5)D. y + 5 = f)1Enter

Answer 1

We are given two functions. We can get the red function if we do the following transformations to the black function.

1. Translation 5 units to the left in the direction of the x-axis. This means that if the black function is f(x), then the transformed function is:

$y=f(x+5)$

2. A reflection across the x-axis, this transformation is equivalent to multiplying or dividing y by -1, therefore we get:

$\frac{y}{-1}=f(x+5)$

Therefore, the red function is option B.