ST15
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The graphs below have the same shape. What is the equation of the blue graph?

The graphs below have the same shape What is the equation of the blue graph class=

Respuesta :

Answer:

B

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

g(x) is f(x) shifted 3 units right and 1 unit up , then

g(x) = (x - 3)² + 1 → B

Answer:

The equation of the blue graph is [tex]g(x)=(x-3)^{2} +1[/tex]. Below is the explanation

Step-by-step explanation:

Given:

   The graph of f(x)=[tex]x^{2}[/tex]

To find:

    The equation of the transformed graph g(x).

The red graph f(x) is moved right 3 units and up 1 unit to get g(x).

When graph is moved right 3 units , 3 should be subtracted with x.

When graph is moved up 1 unit, 1 is added at the end.

So, our g(x)=[tex](x-3)^{2} +1[/tex]

The equation of the blue graph is [tex]g(x)=(x-3)^{2} +1[/tex]

You can learn more:

https://brainly.com/question/20389973

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