The explanation for some quadratic polynomials cannot be written in the form y = a x − h 4 + k and give two examples also.
The required two examples are
Given Information:
The polynomial is defined as,
Calculation:
Consider the given polynomial,
The parent polynomial for the given function is
By using basic transformations, it is not possible to change the shape of the graph. It may at best reflect the graph across the axes to change its orientation. By transformations it is not possible to change the number of turning points.
First graph the function
So, there exist a quadratic polynomial, which have three turning points. But the given polynomial
For example:
There are two polynomials
Now, draw these polynomials with parent polynomial.
The green graph is
Therefore, some quadratic polynomial cannot be written in the form of
Chapter 5 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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