Math Problem Statement
Graph the image of
F
(
2
,
9
)
after a reflection over the
y-axis.
10
8
6
4
2
2
4
6
8
10
10
8
6
4
2
2
4
6
8
10
x
y
F
Submit
Solution
To reflect the point over the y-axis, we follow the rule that reflects points over the y-axis by changing the sign of the x-coordinate, while keeping the y-coordinate the same.
Thus, the reflection of the point over the y-axis will be .
To graph this:
- First, locate the original point , which is 2 units to the right of the y-axis and 9 units above the x-axis.
- Then, plot the reflected point , which is 2 units to the left of the y-axis and 9 units above the x-axis.
Let me know if you would like further clarification or a visual representation!
Additional questions to consider:
- What happens when we reflect a point over the x-axis?
- How does reflecting a shape like a triangle over the y-axis differ from reflecting a single point?
- What is the effect of reflecting a point over the origin?
- How do transformations like translation and scaling compare with reflections?
- How can you determine the image of a shape after multiple reflections?
Tip: Always check the coordinates after any transformation to ensure accuracy.
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Math Problem Analysis
Mathematical Concepts
Geometry
Reflections
Coordinate Geometry
Formulas
Reflection over the y-axis: (x, y) -> (-x, y)
Theorems
Reflection theorem
Suitable Grade Level
Grades 6-8