SOLUTION: Describe the graph of the following quadratic functions and provide a real life example of each: A) a function with two real roots B) a function with one real root C) a function

Algebra ->  Functions -> SOLUTION: Describe the graph of the following quadratic functions and provide a real life example of each: A) a function with two real roots B) a function with one real root C) a function      Log On


   

Question 1014918: Describe the graph of the following quadratic functions and provide a real life example of each:
A) a function with two real roots
B) a function with one real root
C) a function with two complex roots

Found 2 solutions by macston, Alan3354:
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
A) a function with two real roots
.
f%28x%29=x%5E2-4%29
Graph crosses x axis twice.
(blue line on graph below)
.
B) a function with one real root
.
f%28x%29=x%5E2
Graph just touches x axis once (vertex on x axis)
(Green line on graph below)
.
C) a function with two complex roots
.
f%28x%29=x%5E2%2B4
Graph does not touch or cross x axis.
(Red line on graph below)
.
GRAPH:
.
+graph%28+800%2C+800%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2%2B4%2C+x%5E2%2C+x%5E2-4%29+

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Describe the graph of the following quadratic functions and provide a real life example of each:
A) a function with two real roots
B) a function with one real root
All quadratics have 2 roots. For y = x^2, it's x = 0 and x = 0.
--> x = 0 with a multiplicity of 2.
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C) a function with two complex roots