Concept explainers
a)
To evaluate: solution of the equation
a)
Answer to Problem 49PPE
The solution is
Explanation of Solution
Given: Equation is given as
Taking the given equation,
Solving,
Hence, the solution is
b)
To evaluate: the coordinates of the vertex of the graph of
using the formula
b)
Answer to Problem 49PPE
The coordinate of the vertex is (3, −5).
Explanation of Solution
Given: Equation is given as
Taking the given equation,
In the above equation,
Now, finding the vertex,
Now finding y-coordinate,
So, the coordinate of the vertex is (3, −5).
c)
To evaluate: the relationship between answers in part a) and part b).
c)
Explanation of Solution
In part a), the solutions of the given quadratic equation is calculated, whereas in part b), the coordinates of the same equation is calculated.
In part a), the equation touches the x-axis at two points that is why it is called solution.
In part b), the equation has one −point that is called as vertex.
Chapter 9 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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