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A quadratic function has a line of symmetry at x = –3 and a zero at 4. What is the distance from the given zero to the line of symmetry? What is the other zero of the quadratic function?

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cheer1855

Answer:

What is the distance from the given zero to the line of symmetry?

7

What is the other zero of the quadratic function?

-10

We want to study a quadratic function given that we know the line of symmetry and a zero of it.

The distance between the known zero and the line of symmetry is 7 units, and with this. we can see that the other zero is at x = -10

We know that the line of symmetry is at x = -3, and it has a zero at x = 4.

First, we want to know the distance from the given zero to the line of symmetry.

This is given by the difference between the two values:

4 - (-3) = 4 + 3 = 7

The distance is 7 units.

Remember that the line of symmetry "cuts" the graph in two equal halfs, then if one zero is at 7 units of the line, the other zero is also at 7 units of the line (but in the other direction).

Then the other zero is at:

-3 - 7 = -10

The other zero is at x = -10

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