SOLUTION: Hello, please help me solve this problem: The point (-8,4) is on the graph of y = f(x). Find the corresponding point on the graph: a. y = 2 f(2x-4) - 3 b. y = 4 f(3x + 2) +5 c.

Algebra ->  Graphs -> SOLUTION: Hello, please help me solve this problem: The point (-8,4) is on the graph of y = f(x). Find the corresponding point on the graph: a. y = 2 f(2x-4) - 3 b. y = 4 f(3x + 2) +5 c.      Log On


   

Question 115821: Hello, please help me solve this problem:
The point (-8,4) is on the graph of y = f(x). Find the corresponding point on the graph:
a. y = 2 f(2x-4) - 3
b. y = 4 f(3x + 2) +5
c. y = f(x/2 - 4) - 5
Thank you very much!
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!


The point (-8,4) is on the graph of y+=+f%28x%29.
Find the corresponding point on the graph:
a. y+=+2+f%282x-4%29+%96+3………plug in x and y values
4+=+2+f%282%2A%28-8%29-4%29+%96+3
4+=+2+f%28+-+16+-4%29+%96+3
4+%2B+3+=+2+f%28+-+20%29+
+2+f%28+-+20%29+=+++3+%2B+4
+2+f%28+-+20%29+=++7+…….divide both sides by 2
++f%28+-+20%29+=++7%2F2
++f%28+-+20%29+=++3%281%2F2%29
the corresponding point is: (-20,3%281%2F2%29)
b. y+=+4+f%283x+%2B+2%29+%2B5
4+=+4+f%283%28-8%29+%2B+2%29+%2B5
4+=+4+f%28-+24+%2B+2%29+%2B5
4+-+5+=+4+f%28-+22+%29+
4+f%28-+22+%29++=+4+-+5
4+f%28-+22+%29++=++-+1…….divide both sides by 4
+f%28-+22+%29++=+-1%2F4
the corresponding point is:(-22,-1%2F4)
b. y+=+f%28x%2F2+-+4%29+%96+5
4+=+f%28-8%2F2+-+4%29+%96+5
4+=+f%28-4+-+4%29+%96+5
4+%2B+5+=+f%28-+8+%29+
+f%28-+8+%29=++5+%2B+4
+f%28-+8+%29=++9
the corresponding point is:(-8,9)