Use the formula 𝑦=(𝑥-3)2+3 to find 𝑦 when:𝑎. 𝑥=-2 , 𝑦= 𝑏. 𝑥=-1 , 𝑦= 𝑐. 𝑥=1 , 𝑦= 𝑑. 𝑥=2 , 𝑦=

Question

Use the formula 𝑦=(𝑥-3)2+3 to find 𝑦 when:𝑎. 𝑥=-2 , 𝑦= 𝑏. 𝑥=-1 , 𝑦= 𝑐. 𝑥=1 , 𝑦= 𝑑. 𝑥=2 , 𝑦=

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Solution

a. When x = -2, we substitute -2 into the equation for x:

y = ((-2) - 3)^2 + 3 y = (-5)^2 + 3 y = 25 + 3 y = 28

b. When x = -1, we substitute -1 into the equation for x:

y = ((-1) - 3)^2 + 3 y = (-4)^2 + 3 y = 16 + 3 y = 19

c. When x = 1, we substitute 1 into the equation for x:

y = (1 - 3)^2 + 3 y = (-2)^2 + 3 y = 4 + 3 y = 7

d. When x = 2, we substitute 2 into the equation for x:

y = (2 - 3)^2 + 3 y = (-1)^2 + 3 y = 1 + 3 y = 4

This problem has been solved

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