a
To graph: the
a
Explanation of Solution
Given information:
The quadratic equation is
Graph:
The graph mentioned below is in real number line of x axis and y axis.
Where vertex
Interpretation:
Consider the quadratic equation
The mentioned quadratic equation above will be in vertex form
We can write the mentioned quadratic equation in the vertex form as
Therefore the vertex form of the equation is
Which is comparable to
Since
The discriminant of standard form of quadratic equation
Here
Therefore the graph will lie above x axis.
At
Therefore graph will cut y axis at
Therefore the graph will be as mentioned below.
b
To draw: the table for the equation
b
Answer to Problem 3E
The table of the equation is
Explanation of Solution
Given information:
The equation is
Formula:
We will substitute the value of
Calculation:
Consider the equation
Since the value of
Recall that we will substitute the value of
Therefore
At
At
At
At
At
At
At
Therefore the table will be as mentioned below.
Chapter 5 Solutions
Algebra 2
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