Question

Describe the transformation of f represented by G then graph each function

Answer 1

Transfomation 1: the function will undergo vertical shrinking( by a factor of 0.

5)

Transformation 2: the function is shifted 2 units up

Step-by-step explanation

`f(x)=x^4`

Step 1

the first transformation is the function multiplied by a constant ( 1/2)

If the function is multiplied by a value less than one, all the values of the equation will decrease, leading to a “shrunken” appearance in the vertical direction

so

`\begin{gathered} f(x)=x^4\Rightarrow(1)/(2)x^4 \\ (1)/(2)is\text{ smaller than 1, so} \end{gathered}`

Transfomation 1: the function will undergo vertical shrinking( by a factor of 0.

5)

Step 2

the second transformation is add 5

`f(x)=x^4\Rightarrow(1)/(2)x^4\Rightarrow g(x)=(1)/(2)x^4+5`

If a positive number is added, the function shifts up the y-axis by the amount added.

so,

Transformation 2: the function is shifted 2 units up

I hope this helps you