Question

What vertical stretch is equvalent to a horizontal commpresion by a factor of 1/3 in y=x²?

a) y=(3x)²
b) y=(x/3)²
c) y=x²/3
d) y=x²×3

Answer 1

The vertical stretch that is equivalent to a horizontal compression by a factor of 1/3 in y = x² is y = (3x)². Hence the correct answer is option A

Step-by-step explanation:

The vertical stretch that is equivalent to a horizontal compression by a factor of 1/3 in y = x² is y = (3x)².

To find the vertical stretch, we need to consider the inverse relationship between horizontal compression and vertical stretch. In this case, a horizontal compression by a factor of 1/3 means that the quadratic function is being squeezed horizontally, which results in a vertical stretch by a factor of 3. Therefore, we can express this as y = (3x)².

Hence the correct answer is option A