Question

Use the graphing tool to see what happens to the polynomial function when you change more than one parameter at a

time. In what ways is this new graph different from the parent graph of f(x) = x ? Write down your observations for
each of these transformed functions. Then try a few of your own
· g(x) = (x - 2) + 1
· g(x) = 3x4 - 6
· g(x) = 2(x + 3)* + 10
· g(x) = { (6x - 1)

Answer 1

The parent graph of (x-2)^4+1 shifts 2 units to the right and one unit up.

The parent graph of 3x^4-6 is stretched vertically by a factor of 3 and then shifted 6 units down.

The parent graph of 2(x+3)^4+10 is shifted 3 units to the left, stretched vertically by a factor of 2 and shifted 10 units up.

The parent graph of 1/4(6x-1)^4 is shifted one unit to the right, compressed horizontally by a factor of 1/6 , and compressed vertically by a factor of 1/4.

Explanation: