Which function is the result of vertically stretching ƒ(x) = x2 by a factor of 2 and translating it 4 units upward? Question 20 options:

A)

y = –4x2 + 2

B)

y = 4x2 + 2

C)

y = 2x2 + 4

D)

y = 2x2 – 4

The correct answer is the letter C.

Step-by-step explanation:

In order to stretch a function we need to multiply it by the factor we want to stretch, if we want to shrink the function we will have to divide it by the factor. On the other hand in order to translate it we need to sum the factor we want the function to shift. In this case we want to stretch the function by 2, therefore the new function must be 2*f(x), but we also want it to shift by 4 units so it has to be 2*f(x) + 4. Applying the given expression:

The correct answer is the letter C.

true

step-by-step explanation:

0.02

step-by-step explanation:

time of 9 192 631 770 periods of the radiation corresponding to the transition between the 2 hyperfine levels of the ground state of the caesium 133 atom at 0 k (but other seconds are sometimes used in astronomy)