I can't seem to figure out this problem. Can someone please help me and show me how to solve this!? IM SO LOST show me how to solve this!? IM SO LOST

Question

Starting with the parent function f(x)=x2, Braylin adds a positive k to f(x) to form a new function, g(x) = f(x) + k. The result will be that his graph will _____ k units _____.
Select 1 answer for each of the 2 blanks in the previous sentence.

A) to the right
B) to the left
C) down
D) translate vertically
E) translate horizontally
F) up

Answer 1

Hey Chloe,

 

This graph will "translate vertically" k units "up."

 

This is parabola with (0, k) being the vertex: g(x) = x² + k.

 

Standard form of a quadratic function: f(x) = a(x - h)² + k, where (h,k) is the vertex.  Sounds familiar?

Answer 2

Chloe, can you graph this function? You should end up with a hyperbole.  Pick different x's like 0, 1, -1 and f(x) will give you your y's.  Then pick different values for k and do the same.  What happens?