MATH SOLVE

2 months ago

Q:
# 5. what’s the transformations change the graph of f(x) to the graph of g(x)? f(x)=x^2 g(x)=(x+3)^2-7A) the graph of g is the graph of f translated the the right 3 units and up 7 units. B) the graph of g is the graph f translated to the left 3 units and down 7 units. C) the graph of g is the graph f translated up 3 units and the the left 7 units D) the graph of g is the graph f translated down 3 units and to the right 7 units.

Accepted Solution

A:

Answer:BStep-by-step explanation:Given f(x) then 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 unitsGiven f(x) then 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 unitsGivenf(x) = x², theng(x) = (x + 3)² - 7is a shift to the left of 3 units and down 7 units → B