Question

Describe how the graph of the function is related to the graph of f(x)= x^2. g(x)=x^2-5​

Answer 1

Translation down 5 units.

Explanation:

The - 5 results in a shift of the whole graph down 5 units.

Each value of g(x) is 5 units less f(x).

Answer 2

a. Translate down 5 units

Explanation:

• f(x)=
  `x^(2)`
• g(x)=
  `x^(2)` -5

So g(x) is the transformed function of f(x)

In this situation, only the parameter c affect the f(x) vertically to have g(x), if:

• c > 0 function is translate up
• c < 0 the function is translate up

Here, c= -5

So the function is Translate down 5 units

Hope it will find you well.