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

Respuesta :

Answer:

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

Step-by-step explanation:

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

[tex]y = (1/3) * f(x)[/tex]

[tex]y = (1/3) * x^2[/tex]

[tex]y = x^2 / 3[/tex]

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):

[tex]y = (x-7)^2 / 3[/tex]

So the correct option is B)

Answer:

Y = 1∕3 (x -7)2

Step-by-step explanation: