Question

Let the graph of g be a vertical stretch by a factor of 3 and a reflection in the y-axis, followed by a translation 2 units left of the graph of f(x)=x^2-3x+1 . Write a rule for g

Answer 1

g(x) = 3xx +15x +19

Explanation:

f(x)=x^2-3x+1

g(x) = 3*f(x) vertical stretch by factor 3

g(x) = 3f(-x) is s reflection in the y-axis

g(x) = 3*f(-(x + 2)) translation left 2 units

f(x)=x^2-3x+1

g(x)=3* (-(x +2))^2 -3*(-(x+2)) +1)

g(x) = 3*(x+2)^2 +3(x+2) +1

g(x) = 3xx + 12x +12 + 3x +6 + 1

g(x) = 3xx +15x +19