a parent function and transformed function are shown: (y = sqrt3{x}) (y=-(0.4)sqrt3{x - 2}) which of the…

a parent function and transformed function are shown: (y = sqrt3{x}) (y=-(0.4)sqrt3{x - 2}) which of the following describes the graph of the transformed function compared with the parent function? select all that apply. reflected over the x - axis translated 2 units left translated 2 units right compressed by a factor of 0.4 stretched by a factor of 0.4 translated 2 units up translated 2 units down done

a parent function and transformed function are shown: (y = sqrt3{x}) (y=-(0.4)sqrt3{x - 2}) which of the following describes the graph of the transformed function compared with the parent function? select all that apply. reflected over the x - axis translated 2 units left translated 2 units right compressed by a factor of 0.4 stretched by a factor of 0.4 translated 2 units up translated 2 units down done

Answer

Explanation:

Step1: Analizar la reflexión

El signo negativo delante de la función transformada $y =-(0.4)\sqrt[3]{x - 2}$ con respecto a la función padre $y=\sqrt[3]{x}$ significa que la gráfica está reflejada sobre el eje $x$.

Step2: Analizar la traslación horizontal

En la función transformada $y =-(0.4)\sqrt[3]{x - 2}$, el valor de $x$ se cambia a $x - 2$. Según la regla de traslación horizontal $y = f(x - h)$ se traslada $h$ unidades a la derecha. Aquí $h = 2$, entonces está trasladada 2 unidades a la derecha.

Step3: Analizar la compresión/estiramiento

El factor 0.4 delante de la raíz cúbica significa que la gráfica está comprimida verticalmente por un factor de 0.4.

Answer:

  • reflected over the x - axis
  • translated 2 units right
  • compressed by a factor of 0.4