Question

If the graph of the function f, defined by f(x)= x2 + 5, is translated vertically upward by 2 units, it

becomes the graph of a function k. Find the expression for k(x).
A. k(x)=x2 + 3
B. k(x)=(x + 2)2 +5
C. k(x)=(x - 2)2 +5
D. k(x)= x2 +7

Answer 1

D. k(x)=x²+7

Explanation:

f(x)=x² + 5

y=mx+c

since it is not moved horizontally the x and slope(m) will remain the same but the 2 will be added to the intercept(c) which is 5 to become seven