Using the parent function y=x2
, match the transformation with the correct equation.
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Shift 4 units up
Shift 4 units down
Shift 4 units to the right
Shift 4 units to the left
Shift 4 units up: y = x^2 + 4
Shift 4 units down: y = x^2 - 4
Shift 4 units to the right: y = (x - 4)^2
Shift 4 units to the left: y = (x + 4)^2
To match the given transformations with the correct equation, we need to understand how each transformation affects the parent function y=x^2.
1. Shift 4 units up: To shift the graph 4 units up, we need to add 4 to the parent function. Therefore, the equation for this transformation is y = x^2 + 4.
2. Shift 4 units down: To shift the graph 4 units down, we need to subtract 4 from the parent function. So, the equation for this transformation is y = x^2 - 4.
3. Shift 4 units to the right: To shift the graph 4 units to the right, we need to replace x with (x - 4) in the parent function. The equation for this transformation is y = (x - 4)^2.
4. Shift 4 units to the left: To shift the graph 4 units to the left, we need to replace x with (x + 4) in the parent function. The equation for this transformation is y = (x + 4)^2.
To match the transformations with the correct equations:
- Shift 4 units up: y = x^2 + 4
- Shift 4 units down: y = x^2 - 4
- Shift 4 units to the right: y = (x - 4)^2
- Shift 4 units to the left: y = (x + 4)^2
Please insert your chosen response into the corresponding input to answer the question.
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To shift the parent function y=x^2, we can use the following equations:
- Shift 4 units up: y = (x-4)^2
- Shift 4 units down: y = (x+4)^2
- Shift 4 units to the right: y = (x-4)^2
- Shift 4 units to the left: y = (x+4)^2