Question

The graphs below have the same shape. What is the equation of the blue

graph?

g(x) =

O A. g(x) = (x+4)2 - 3
O B. g(x) = (x - 42 - 3
O C. g(x) = (x – 4)2 + 3
O D. g(x) = (x+4)2 + 3

Answer 1

A

Explanation:

Given f(x) then the graph of f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Given f(x) then the graph of f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here f(x) has been shifted 4 units left and 3 units down, thus

g(x) = (x + 4)² - 3 → A