SOLUTION: Sketch the graph of a quadratic function for which the related quadratic equation has only one solution. Then, sketch one that has two solutions. Explain how you know by looking at

Question 206469: Sketch the graph of a quadratic function for which the related quadratic equation has only one solution. Then, sketch one that has two solutions. Explain how you know by looking at the graph the number of solutions there are.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Sketch the graph of a quadratic function for which the related quadratic equation has only one solution. Then, sketch one that has two solutions. Explain how you know by looking at the graph the number of solutions there are.
-------------------------------------------
y = (x-2)^2 has one solution with multiplicity 2.

------------------------------
y = (x^2-4) has two solutions.

------------
If the graph just touches the x axis the quadratic has one solution.
If the graph passes thru the x axis at two points the quadratic has two zeroes.
---------------------------------------------------------
Cheers,
stan H.
RELATED QUESTIONS
Sketch the graph of each quadratic function (answered by ikleyn)

Which of the following graphs shows the graph of a quadratic function related to a... (answered by garettbuff)

Let K be a real number, and consider the quadratic equation (k+1)x^2+4kx+2=0 a. Show... (answered by robertb)

could someone make graph of a quadratic function related to a quadratic equation that has (answered by richard1234)

Pamela says that if the graph of a quadratic function opens upwards, then the related... (answered by josgarithmetic)

Tell whether each statement is always, sometimes, or never true. 1) If the graph of a... (answered by richard1234)

Estimate the answer(s) to the quadratic equation which has a related quadratic function... (answered by Fombitz)

1.Sketch the curves of the following functions (a) f(t)= 4t^2- 12t (b) f(x)= 4-2x-x^2... (answered by rothauserc)

Find the quadratic equation that has one solution of... (answered by vleith)