Transformations of f(x)
Find the image of a known point under a transformation y = a*f(x-h)+k. Unlimited questions, five difficulty levels, and a full worked solution every time — free.
Try one
The point (4, -2) lies on the graph of y = f(x). Find the corresponding point on the graph of y = f(x + 4) - 2.
y = f(x + 4) - 2
Answer: (0, -4)
See one solved, step by step
The point (-5, 2) lies on the graph of y = f(x). Find the corresponding point on the graph of y = f(x - 3) - 4.
y = f(x - 3) - 4
📘 Worked solution
1New x: x = −5 + (3) = −2Inside the function, x is replaced by (x - 3); setting x - 3 = -5 (the original x-value) gives the new x.
2New y: y = 1 · (2) - 4 = −2The output 2 is multiplied by a = 1 and then shifted by k = -4.
3Image point: (−2, −2)Combine the new x and new y coordinates.
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