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3 years ago

Match each description with the equation that will create that pit. The curved path is shifted left two units.

Mathematics

1 answer:

ololo11 [35]3 years ago

7 0

Answer:

1). The curved pit is shifted 2 units up.

2). The curved pit is shifted 2 units right.

3). The curved pit is shifted 2 units down.

4). The curved pit is shifted 2 units left.

Step-by-step explanation:

Equation of the curved pit has been given as y = x²

If the curved pit is shifted by 2 units to the right then by the rule of translation new function will be,

f'(x) = (x - 2)²

If the curved pit is shifted 2 units left,

f'(x) = (x + 2)²

If the curved pit is shifted 2 units down,

f'(x) = x² - 2

If the curved pit is shifted 2 units up,

f'(x) = x² + 2

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Step-by-step explanation:

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where: $(x_1,y_1)$ and $(x_2,y_2)$ are the two points passing through the line.

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