Answer:
Step-by-step explanation:
The given equation is:
To find the point where this line intersect the y-axis, we put x=0 into the given equation.
When x=0, we have .
This implies that; y=5.
The y-intercept is (0,5).
Comparing (0,5) to (0,b), we can conclude that; b=5
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.