Determine another point on the parabola that has an axis of symmetry x = 4 and a point on the parabola is (0, 2), Another point on the parabola is

Given:

Axis of symmetry of a parabola is .

A point on the parabola is (0,2).

To find:

The another point on the parabola.

Solution:

The point (0,2) lies on the parabola and the axis of symmetry of a parabola is .

It means, the another point on the parabola is the mirror image of (0,2) across the line because the parabola is symmetric about the axis of symmetry.

If the point is reflected across the line , then

Using this rule, we get

Therefore, the other point on the parabola is (8,2).

answer: the equation matches the regression

step-by-step explanation:

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