Clutch161910
contestada

15. A student graphed f(x) = x and g(x) = f(x) + 3 on the same coordinate grid. Which
statement describes how the graphs of fand g are related?

A. The graph of f is shifted 3 units up to create the graph of g.

B. The graph of f is steeper than the graph of g.

C. The graph of f is shifted 3 units down to create the graph of g.

D. The graph of f is less steep than the graph of g.

Respuesta :

mehermione12

Answer:

The graph of f is shifted 3 units up to create the graph of g.

facundo3141592

Here we have a problem with translations, where we define a translation as an operation that moves the graph of a function in a given direction.

We will see that the correct option is A.

"The graph of f is shifted 3 units up to create the graph of g."

To get this, we first need to describe vertical translations.

For a function f(x) we define a vertical translation (or vertical shift) of N units as:

g(x) = f(x) + N

If N is positive, the translation is upwards

if N is negative, the translation is downwards.

So here we have:

g(x) = f(x) + 3

So we can see that this is a translation of 3 units upwards, then the correct option is A, the graph of f(x) is shifted (or translated) 3 units up to greater the graph of g(x).

And the graphs of g(x) = x + 3 and f(x) = x can be seen below, where you can see this, where the grey line is g(x).

If you want to learn more, you can read:

https://brainly.com/question/24401156

Otras preguntas