Which describes the effect of the transformations on the graph of ƒ (x) = x2 when changed to ƒ (x) = 1/2 (x - 5) 2 + 7?

A) stretched vertically, shifted left 5 units, and shifted down 7 units

B) stretched vertically, shifted right 5 units, and shifted up 7 units

C) compressed vertically, shifted left 5 units, and shifted down 7 units

D) compressed vertically, shifted right 5 units, and shifted up 7 units

Question

Mathematics

Timothy Mcneil

22 July, 03:34

Which describes the effect of the transformations on the graph of ƒ (x) = x2 when changed to ƒ (x) = 1/2 (x - 5) 2 + 7?

A) stretched vertically, shifted left 5 units, and shifted down 7 units

B) stretched vertically, shifted right 5 units, and shifted up 7 units

C) compressed vertically, shifted left 5 units, and shifted down 7 units

D) compressed vertically, shifted right 5 units, and shifted up 7 units

+5

Answers (1)

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Beard · Answer 1

Remember that the formula is f (x) = a (x-h) ^2 + k.

1/2: The closer to zero the a value, the wider, so this will stretch vertically.

5: This means that h=5, so the graph is shifted left 5 units.

7: This means that k=7, so the graph is shifted up 7 units.

The answer is stretched vertically, shifted left 5 units, shifted up 7 units.