Which function is the result of translating f(x) = x^2 + 14 to the right 5 units and down 6 units? A) y = (x - 5)^2 + 6
B) y = (x - 5)^2 - 6
C) y= (x - 5)^2 + 8
D) y= (x - 5)^2 + 20

C.

Step-by-step explanation:

Transformations within the quadratic is given by the form:

Where a is the vertical stretch, h is the horizontal translations, and k is the vertical translations.

We have:

If we translate this 5 units to the right, we are letting h=5. This yields:

If we shift the function down 6 units, we are subtracting 6 from the function. This will yield:

Subtract:

Therefore, our answer is C.

divide the numbers

step-by-step explanation: