Question

Examine the following graph, where the function P(x) is the preimage and the function I(x) is the image of a translation.

Answer 1

Step-by-step explanation

Given that

`g(x)=(0,5)`

And

`f(x)=(0,-2)`

The two functions show a translation: vertical shift

To translate the function up and down, you simply add or subtract numbers from the whole function. If you add a positive number (or subtract a negative number), you translate the function up. If you subtract a positive number (or add a negative number), you translate the function down.

The shift here is a downward vertical shift

Therefore, if we are to get the value of k given that

`g(x)=f(x)+k`

Therefore

`\begin{gathered} k=-2-5=-7 \\ k=-7 \end{gathered}`

Thus, k = -7

This means that the graph was shifted 7 units downwards

The correct option is

The second option is correct