Math Problem Statement
Solution
The question asks to observe the given quadratic function and determine the new coordinates of its minimum point when the graph is rotated 90° clockwise.
Step-by-step explanation:
-
Identifying the minimum point (vertex):
From the graph, the quadratic function is a parabola opening upwards. The vertex (minimum point) of the parabola seems to be at approximately . This is the original coordinate of the minimum point before rotation. -
Rotation by 90° clockwise:
When rotating a point by 90° clockwise, the new coordinates can be found by transforming into .So, applying this to the vertex point :
Thus, after rotating the graph 90° clockwise, the new coordinates of the minimum point are .
Would you like further details on how the rotation works, or have any questions? Here are some related questions to consider:
- How do you perform rotations by other angles, such as 180° or 270°?
- What happens to other points on the graph when rotated by 90°?
- Can you find the equation of the new function after the rotation?
- How would the graph look after a counterclockwise rotation by 90°?
- How does this affect the symmetry of the graph?
Tip: When rotating a point by 90° clockwise, always swap the coordinates and reverse the sign of the original x-coordinate.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Geometry
Rotations
Quadratic Functions
Formulas
(x', y') = (y, -x)
Theorems
Rotation Theorem
Suitable Grade Level
Grades 9-10
Related Recommendation
90-Degree Counterclockwise Rotation of Quadratic Function Around Point
Rotating a Quadratic Curve y = x² + 8x - 10 by 90 Degrees
Rotation of Quadratic Function y = 2x² + x - 8 by 30 Degrees
Transforming a Quadratic Function with Reflection and Rotation
Function Rotation y=x^4 - 4 by 90° around the Origin