Question

Can someone explain this to me?? Confused?


How are the real solutions of a quadratic equation related to the graph of the quadratic function?

Answer 1

the "solutions" means the zeros, i.e the solution to
\[ax^2+bx+c=0\]
if you graph
\[y=ax^2+bx+c\] you get a parabola, and it will be equal to zero where it touches or crosses the \(x\) axis, with is the same as saying \(y=0\)

Answer 2

if the graph lies completely above or below the \(x\) axis then there are no zeros

Answer 3

The solutions you get when you solve the formula are the corresponding y coordinates to your x value. So say a point on your graph is (2,3). The first number is x and the second is y. (x,y). The number you plug into your function is x,or in this case: 2. The solution to the equation when the x value is plugged in is y, or 3. Therefore, giving you a point on your graph.

Source(s):

My elementary functions class.

Answer 4

if it touches at one point, there is one real zero, at the vertex

Answer 5

So you're saying that the equations are similar? Thats how real solutions of a quadratic equation related to the graph of the quadratic function?