1. Identify the set of rational
1 answer:
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Answer:
Step-by-step explanation:
An equation in the vertex form is written as
Where the point (h, k) is the vertex of the equation.
For an equation in the form the x coordinate of the vertex is defined as
In this case we have the equation .
Where
Then the x coordinate of the vertex is:
The y coordinate of the vertex is replacing the value of in the function
Then the vertex is:
Therefore The encuacion excrita in the form of vertice is:
To find the coefficient a we substitute a point that belongs to the function
The point (0, -1) belongs to the function. Thus.
<em>Then the written function in the form of vertice is</em>
Our discriminant is 0 so, has one real root.
Option C is correct.
Step-by-step explanation:
we need to find the discriminant and the number of real roots for the following equation:
The discriminant is found by using square root part of quadratic formula:
where b =12, a=4 and c=9
Putting values:
To find out the number of real roots using discriminant we have following rules:
- if discriminant b^2-4ac >0 then 2 real roots
- if discriminant b^2-4ac =0 then 1 real root
- if discriminant b^2-4ac <0 then no real roots
Since our discriminant b^2-4ac is 0 so, has one real root.
Option C is correct.
Keywords: discriminant
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