a.
To Find: The quadratic model for the ball's height as a function of time.
The quadratic model is
Given:
The height of the ball at certain times appears in the table below.
Time | ||||
Height |
Explanation:
Given points are
Substitute the first point
Substitute the second point
Substitute the third point
Substitute the fourth point
Multiply equation
Elimination between equation
Multiply equation
Elimination between equation
Multiply equation
Elimination between equation
Solve for
Substitute
Now, substitute
Substitute
Thus, the quadratic model is
b.
To Write: The quadratic function in factored form.
The factored form is
Given:
The height of the ball at certain times appears in the table below.
Time | ||||
Height |
Explanation:
From part
Factor the expression
Therefore, the factored form is
Chapter 4 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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