Question

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Compare the function to the parent function y = x^2. Use the key words such as: stretch, shrink, and shift.

3. y = 2(x - 1)^2 - 1

4. y = (x + 4)^2 + 4

Answer 1

9514 1404 393

Answer:

3. vertical stretch by a factor of 2; shift right 1 and down 1

4. shift left 4 and up 4 (no stretch or shrink)

Explanation:

The vertex form equation is ...

y = a(x -h)^2 +k

It represents a vertical stretch of the parent function by a factor of 'a', a right shift of 'h', and an upward shift of 'k'.

Compare the the given equations to the above form to see the transformations.

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3. (a, h, k) = (2, 1, -1) ⇒ vertical stretch by a factor of 2; shift right 1, down 1

4. (a, h, k) = (1, -4, 4) ⇒ no vertical stretch; shift left 4, up 4