Math Problem Statement
Find g(x), which is a reflection over the y-axis of f(x)=x^2-x
Solution
To find , which is the reflection of the function over the y-axis, you need to replace with in the expression for . This is because reflecting a function over the y-axis involves changing the sign of the -values.
Given:
The reflected function is:
Substitute into the function:
Simplify:
So, the function is:
Would you like more details or have any questions?
Here are five related questions to explore further:
- How would you reflect a function over the x-axis instead of the y-axis?
- What happens to the graph of when it is reflected over the origin?
- Can you find the inverse of the function ?
- How would you determine the vertex of the parabola described by ?
- What is the axis of symmetry for the function ?
Tip: Reflections are transformations that can be used to change the orientation of a graph without altering its shape.
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Math Problem Analysis
Mathematical Concepts
Reflections
Quadratic Functions
Formulas
-
Theorems
-
Suitable Grade Level
Grades 9-12
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