Question

Identify the function that vertically stretches f(x) = -4x^3 + 1 by a factor of 2 and shifts it 7 units left.

Answer 1

h(x) = −8(x + 7)3 + 2

Step-by-step explanation:

The answer above from the 'expert' is actually correct!

Just took the quiz, so thanks!

Answer 2

`h(x)=-8(x+7)^3+2`

Step-by-step explanation:

Given the function:

`f\mleft(x\mright)=-4x^3+1`

Stretching f(x) vertically by a factor of 2 gives:

`2f(x)=2(-4x^3+1)`

Next, shifting it by 7 units left:

`\begin{gathered} 2f(x+7)=2(-4(x+7)^3+1) \\ h(x)=-8(x+7)^3+2 \end{gathered}`

The second option is correct.