SOLUTION: 21. A function is defined as f(x)=4x^2+1. If the graph of this function shifts 4 units down, 5 units right, and is reflected across the x-axis, what is the coordinate for the v

Algebra ->  Functions -> SOLUTION: 21. A function is defined as f(x)=4x^2+1. If the graph of this function shifts 4 units down, 5 units right, and is reflected across the x-axis, what is the coordinate for the v      Log On


   

Question 1035300: 21. A function is defined as
f(x)=4x^2+1. If the graph of this function shifts 4 units down, 5 units right, and is reflected across the x-axis, what is the coordinate for the vertex of the resulting function.
A (5, -3)
B (5, 3)
C (4, 5)
D (0, 1)
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Apply the changes one at a time.

Starting with f%28x%29=4%28x-0%29%5E2%2B1

Four units down
4%28x-0%29%5E2%2B1-4
4%28x-0%29%5E2-3

Five to the right
4%28x-5%29%5E2-3

Reflect across the x-axis
%28-1%29%284%28x-5%29%5E2-3%29
-4%28x-5%29%5E2%2B3-----------new vertex (5,3).


graph%28400%2C400%2C-2%2C8%2C-5%2C5%2C4x%5E2%2B1%2C-4%28x-5%29%5E2%2B3%29