true or false. A vertical shift would affect the x-value of the vertex.

**False.** 

A vertical shift affects only the y-value of the vertex, not the x-value. The vertex of a parabola or any graph shifts up or down based on the vertical shift, but the x-coordinate remains unchanged.

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Here are some related questions to explore:

1. What is the effect of a horizontal shift on the vertex of a parabola?
2. How does a vertical stretch or compression affect the vertex?
3. How does adding a constant to a quadratic equation affect the graph?
4. Can a reflection over the x-axis or y-axis change the vertex position?
5. How do you find the vertex of a parabola given its equation?

**Tip:** The formula for the vertex of a quadratic equation \( y = ax^2 + bx + c \) is \( \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right) \), where the x-value depends on the coefficients of the quadratic, and the y-value depends on vertical shifts.

True or false. A vertical shift would affect the x-value of the vertex.

Explore how vertical shifts affect the vertex of a parabola, focusing on changes to the y-value while the x-value remains unchanged. Learn key algebraic concepts and the vertex formula, suitable for students in Grades 9-11.

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