Question

If the original parabola f(x) = x2 were transformed into f(x) = 4(x – 3)2 + 1, what changes took place? A The parabola would be vertically stretched by a factor of 4, translated right 3 and up 1. B The parabola would be vertically compressed by a factor of 3, translated left 3 and down 1. C The parabola would be vertically compressed by a factor of 4, translated right 3 and down 1. D The parabola would be vertically stretched by a factor of 4, translated left 3 and up 1

Answer 1

Option A

Explanation:

Original equation of the parabola,

f(x) = x²

Step 1.

Function 'f' is vertically stretched by a scale factor of 4,

Image function will be,

g(x) = 4x²

Step 2.

Followed by the translation by 3 units to the right and 1 unit down,

h(x) = g(x - 3) + 1

h(x) = 4(x - 3)² + 1

Therefore, Option A will be the correct option.