Vertical shrink of 1/3. Reflection in y-axis. 3 Units right.

Question

The graph of  is a vertical shrink by a factor of 1/3 and a reflection in the y-axis, followed by a translation 3 units right of the graph of f(x)=x^2. Write a rule for g.

Answer 1

Hi!

y=a(bx-c)^2 +d

a=1/3. Vertical shrink factor of 1/3

b=-1. ( reflection of the x axis)

c=3 3 units right

g(x) = 1/3(-1x-3)²+0

g(x) = 1/3 (-x - 3)²

I hope this helps. Have a great day!

Mrs. S.