Need help with full explanation first to answer extra points!!!
1 answer:
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Answer:
In a quadratic equation of the shape:
y = a*x^2 + b*x + c
we hate that the discriminant is equal to:
D = b^2 - 4*a*c
This thing appears in the Bhaskara's formula for the roots of the quadratic equation:
You can see that the determinant is inside a square root, this means that if D is smaller than zero we will have imaginary roots (the graph never touches the x-axis)
If D = 0, the square root term dissapear, and this implies that both roots of the equation are the same, this means that the graph touches the x axis in only one point, wich coincides with the minimum/maximum of the graph)
If D > 0 we have two different roots, so the graph touches the x-axis in two different points.
Answer:
Step-by-step explanation:
Given the following Quadratic equation:
You can change its formed by Completing the square.
In order to do Complete the square, you can follow these steps:
1. You can identify that:
2. Then, you can find . This is:
3. Now you must add to both sides of the Quadratic equation in order to keep the balance. Then:
4. Finally, simplifying by actoring and adding the like terms, you get: