.
Assume that f(3) = 4. Name a point that must be on the graph of y= -5f(2x - 3) + 1
~~~~~~~~~~~~~~~~~~~~~~~~
First, we want the argument 2x-3 be 3.
So, we write this equation
2x - 3 = 3.
Then we solve it and find x = = = 3.
Next, we want to calculate y = -5f(2x-3) + 1.
We just know that 2x-3 is 3, because we found x in this way.
So, we write
y = = -5f(3) + 1 = (at this point, we know and use that f(3)=4, so we continue) = -5*4 + 1 = -20 + 1 = -19.
Thus the point (x,y) = (3,-19) is on the graph y = -5f(2x-3) + 1.
ANSWER. If f(3) = 4, then the point which must be on the graph y = -5f(2x-3) + 1 is (x,y) = (3,-19).
Solved.
--------------------------
It is a real for you to solve many other similar problems.
To start, you should say to yourself "First, we want . . . "
These words are magic.
As soon as you pronounce them, all necessary words and thoughts that follow, will flow by themselves.
////////////////////
To see other similar solved problems, look into the lesson
- Given a point on a plot of a function, find the corresponding point on the plot of transformed function
in this site.
It is to make your horizon wider.