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Copy and complete the table of values for y = 3x² + 4. What numbers replace A and B? x Y - 3 31 −1 0 1 B 7 -2 A 7​

User Thorncp
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Answer:

To fill out the table, we need to plug in each value of x into the equation y = 3x² + 4 and evaluate the expression to find the corresponding value of y.

x | y

--|--

-3| 31

-1| 7

0 | 4

1 | 7

B | 7

-2| A

7 | 148

From the table, we can see that:

- When x = -3, y = 3(-3)² + 4 = 31

- When x = -1, y = 3(-1)² + 4 = 7

- When x = 0, y = 3(0)² + 4 = 4

- When x = 1, y = 3(1)² + 4 = 7

- When x = B, y = 7

- When x = -2, y = 3(-2)² + 4 = A

- When x = 7, y = 3(7)² + 4 = 148

To find the values of A and B, we can use the information from the table:

- When x = -2, y = A, so we know that 3(-2)² + 4 = A. Simplifying this expression, we get A = 16.

- When x = B, y = 7, so we know that 3B² + 4 = 7. Subtracting 4 from both sides and dividing by 3, we get B² = 1. Therefore, B = ±1. However, we also know that y = 7 when x = 1, so B must be equal to 1.

Therefore, the completed table of values is:

x | y

--|--

-3| 31

-1| 7

0 | 4

1 | 7

1 | 7

-2| 16

7 | 148

User Denis Stukalov
by
8.0k points

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