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 F(2,9)F(2, 9) 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 F(2,9)F(2, 9) over the y-axis will be F(2,9)F'(-2, 9).

To graph this:

  • First, locate the original point F(2,9)F(2, 9), which is 2 units to the right of the y-axis and 9 units above the x-axis.
  • Then, plot the reflected point F(2,9)F'(-2, 9), 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:

  1. What happens when we reflect a point over the x-axis?
  2. How does reflecting a shape like a triangle over the y-axis differ from reflecting a single point?
  3. What is the effect of reflecting a point over the origin?
  4. How do transformations like translation and scaling compare with reflections?
  5. 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