# O ponto (-12, 4) está no gráfico de y = f (x). Encontre o ponto correspondente no gráfico de y = g (x)? (Consulte abaixo)

#### Responda:

1. (-12,2)
2. (-10,4)
3. (12,4)
4. (-3,4)
5. (-12,16)
6. (-12, -4)

#### Explicação:

1:

Dividing the function by 2 divides all the y-values by 2 as well. So to get the new point, we will take the y-value (4) and divide it by 2 to get 2.

Therefore, the new point is (-12,2)

2:

Subtracting 2 from the input of the function makes all of the x-values increase by 2 (in order to compensate for the subtraction). We will need to add 2 to the x-value (-12) to get -10.

Therefore, the new point is (-10, 4)

3:

Making the input of the function negative will multiply every x-value by -1. To get the new point, we will take the x-value (-12) and multiply it by -1 to get 12.

Therefore, the new point is (12,4)

4:

Multiplying the input of the function by 4 makes all of the x-values be divided by 4 (in order to compensate for the multiplication). We will need to divide the x-value (-12) by 4 to get -3.

Therefore, the new point is (-3,4)

5:

Multiplying the whole function by 4 increases all y-values by a factor of 4, so the new y-value will be 4 times the original value (4), or 16.

Therefore, the new point is (-12, 16)

6:

Multiplying the whole function by -1 also multiplies every y-value by -1, so the new y-value will be -1 times the original value (4), or -4.

Therefore, the new point is (-12, -4)

Resposta final