Question

Help!

Drag the labels to the correct locations. Each label can be used more than
once.
Label each quadratic function with the number of solutions it has
one solution
two solutions
no real solutions

Answer 1

Graph 1 has two solutions

Graph 2 has one solution

Graph 3 has no solution

Graph 4 has two solutions

Explanation:

* Lets explain the solution of the quadratic equation

- The quadratic equation represented graphically by a parabola

- The solution of the quadratic equation is the intersection point

between the parabola and the x-axis

- At the x-axis y coordinate of any point is zero, then the solution is

the value of x-coordinate of this point

- If the parabola cuts the x-axis at 2 points then there are 2 solutions

- If the parabola cuts the x-axis at 1 point then there is 1 solutions

- If the parabola doesn't cut the x-axis then there is no solution

* Lets solve the problem

# Graph 1:

∵ The parabola cuts the x-axis at two points

∴ There are two solutions

# Graph 2:

∵ The parabola cuts the x-axis at one point

∴ There is one solution

# Graph 3:

∵ The parabola doesn't cut the x-axis

∴ There is no solution

# Graph 4:

∵ The parabola cuts the x-axis at two points

∴ There are two solutions