Question

Describe the transformation from the parent function of f(x)=x2 to g(x)=(x-5)^2(Need answer in less than 2 hours!) a. a vertical compression with a scale factor of -1/5 b. a translation of 5 units down c. a translation of 5 units to the right d. a horizontal stretch with a scale factor of 5

Answer 1

Answer:  (c) a translation 5 units to the RIGHT

Step-by-step explanation:

Consider h(x) = A(x - h)² + k

• A is the vertical stretch (by factor of A)
• h is the horizontal shift (positive = Right, negative = Left)
• k is the vertical shift (positive = Up, negative = Down)

f(x) = x²

g(x) = (x - +5)²

               ↓

              positive means to  the RIGHT

Answer 2

(c) a translation 5 units to the RIGHT

• The calculation is as follows:

Here we have to considered that

h(x) = A(x - h)² + k

here

A represent the vertical stretch (by factor of A)

h represent the horizontal shift (positive = Right, negative = Left)

k represent the vertical shift (positive = Up, negative = Down)

f(x) = x²

g(x) = (x - +5)²

              ↓

             positive shows to  the RIGHT

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