Explain the mathematical motivation for expanding to the rational number set.
1 answer:
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Answer:
The positions of the vertex and the axis of symmetry change.
Step-by-step explanation:
Let’s examine three parabolas in which a and c remain constant and only b changes.
(1) y = x² - 2x + 1
(2) y = x² + 1
(3) y = x² + 2x + 1
In the image below,
Equation (1) is the black parabola, Equation (2) is green, and Equation (3) is red.
When b is more negative, the vertex moves down, and the axis of symmetry moves to the right.
When b is more positive, the vertex moves down, and the axis of symmetry moves to the left.
