table represents a quadratic function, fill in the missing y- values. x:-4,-3,-1

Feranmimakun6

Feranmimakun6

Answered question

2022-08-25

Answer & Explanation

alenahelenash

alenahelenash

Expert2023-05-29Added 556 answers

To fill in the missing y-values in the table representing a quadratic function, we can use the properties of quadratic equations. Quadratic functions are typically in the form y=ax2+bx+c, where a, b, and c are constants.
Let's analyze the given table:
x y 4 8 3 14 1 0 1 18 2 3 8
To determine the quadratic function, we can substitute the given x-values into the equation y=ax2+bx+c and solve for the missing y-values.
1. For x=4, we have y=8.
2. For x=3, we have y=14.
3. For x=1, let's substitute it into the equation:
y=a(1)2+b(1)+c
We don't have enough information to solve for a, b, and c directly, but we can use the fact that the function is quadratic. Since the difference between the y-values for x=4 and x=3 is -6, and the difference between the y-values for x=3 and x=1 is also -6, we can deduce that the pattern is consistent. Therefore, we subtract 6 from -14 to find the missing y-value:
y=146=20
4. For x=0, we can follow the same pattern and subtract 6 from the previous y-value:
y=206=26
5. For x=1, we have y=18 (given).
6. For x=2, let's use the pattern again and subtract 6 from the previous y-value:
y=186=24
7. For x=3, we have y=8 (given).
Now, let's fill in the missing y-values in the table:
x y 4 8 3 14 1 20 0 26 1 18 2 24 3 8
Thus, the completed table with the missing y-values filled in for the quadratic function is shown above.

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