8.9k views
2 votes
Help me please with this

Help me please with this-example-1
User Vinu
by
7.5k points

1 Answer

0 votes

Answer: Choice B

g(x) = -f(x) - 4

===========================================================

Step-by-step explanation:

The point (0,1) is on the the red f(x) curve. It's the y-intercept.

If we reflected that point over the x axis, then it moves to (0,-1). Shift it down 4 units to get to (0,-5)

The point (0,-5) is on the purple g(x) curve.

This process of...

  1. reflect over the x axis
  2. shift down 4 units

is applied to every point on the red curve to arrive at a corresponding point on the purple curve. The order of the transformations matters. We can't shift down first before reflecting (or else g(x) will be in a different spot).

We stick a negative sign in front of the f(x) to reflect over the x axis. This is to change the sign of the y coordinate from positive to negative. Our answer choices are narrowed to either B or C.

The answer is choice B since that -4 at the end means "shift each point 4 units down". We're subtracting 4 from each y coordinate.

GeoGebra and Desmos are two useful tools to help verify the answer.

User Nwahmaet
by
8.3k points

No related questions found