What type of quadratic equation is represented in the graph below?
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OpenStudy (anonymous):
OpenStudy (campbell_st):
the roots or zeros are plus or minus 2
then it y = (x -2)(x+2)
expand for the equation
OpenStudy (campbell_st):
so the quadratic is the difference of 2 squares
OpenStudy (anonymous):
The answers to chose from are Not enough information
Non-factorable Trinomial
Perfect Square Trinomial
Difference of Two Squares
OpenStudy (anonymous):
Transformations lad. y=x^2 starts on the origin. Where does this start and why?
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OpenStudy (campbell_st):
if you expand (x-2)(x+2) you get
x^2 - 4
so its y = x^2 - 4
OpenStudy (anonymous):
Difference of two squares then
OpenStudy (campbell_st):
yes... thats it
OpenStudy (anonymous):
I see.
OpenStudy (anonymous):
Also another way is just by checking the transformation of the graph.
\[y=x^2\] Starts from the origin. This one starts at -4. So it's the same as \[y=x^2 - 4\]
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OpenStudy (anonymous):
Yeah, I was looking at it that way first
OpenStudy (campbell_st):
things to know... a perfect square trinomial will only touch the x axis at one point
the difference of 2 squares will have the y-axis as the line of symmetry