Question

Which function is the result of vertically shrinking ƒ(x) = x2 by a factor of 1∕3 and translating it to the right 7 units?

Question 3 options:

A)

Y = x2 - 7

B)

Y = 1∕3 (x -7)2


C)

Y = 1∕3 (x +7)2


D)

Y = x2 + 7

Answer 1

Y = 1∕3 (x -7)2

Explanation:

Answer 2

B) Y = 1/3 (x-7)^2

Explanation:

To vertically shrink the function by a factor of 1/3, we just need to multiply it by the factor, that is:

`y = (1/3) * f(x)`

`y = (1/3) * x^2`

`y = x^2 / 3`

Now, to translate the function 7 units to the right, we just need to substitute the values of x in the function by (x-7):

`y = (x-7)^2 / 3`

So the correct option is B)