The graphs of f(x) and g(x) are shown below:

graph of function f of x open upward and has its vertex at negative 7, 0. graph of function g of x opens upward and has its vertex at negative 5, 0

if f(x) = (x + 7)^2, which of the following is g(x) based on the translation?

g(x) = (x + 5^)2

g(x) = (x − 5)^2

g(x) = (x − 9)^2

g(x) = (x + 9)^2

g(x) = (x + 5^)2

Remember that:

- The translation shifts the function units to the left

- The translation shifts the function units to the right

We can infer from our vertices, that the vertex of g(x) is the vertex of f(x) shifted 2 units to the right. Since shifts the function units to the right, we just need to subtract 2 units from f(x) = (x + 7)^2 to find g(x):

step-by-step explanation:

for the free