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donnie1999
 one year ago
Determine in which direction the parabola below opens.
y = 2x^2 + 5x  2
donnie1999
 one year ago
Determine in which direction the parabola below opens. y = 2x^2 + 5x  2

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SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2Ok, here: ~ b and c can be any negative or positive real numbers (or can be zero). ~ a is a positive number that can't be equal to zero (and thus a is a negative number) `` `UP/DOWN opening parabolas.` If you have \(\large\color{black}{ \displaystyle y=ax^2+bx+c }\) then, this parabola opens UP If you have \(\large\color{black}{ \displaystyle y=ax^2+bx+c }\) then, this parabola opens DOWN `LEFT/RIGHT opening parabolas.` If you have \(\large\color{black}{ \displaystyle x=ay^2+by+c }\) then, this parabola opens to the LEFT If you have \(\large\color{black}{ \displaystyle x=ay^2+by+c }\) then, this parabola opens to the RIGHT

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2do you want some real (not abstract) examples?

donnie1999
 one year ago
Best ResponseYou've already chosen the best response.0Im confused so the answer is right???

some.random.cool.kid
 one year ago
Best ResponseYou've already chosen the best response.0yeah don those were what I meant his examples is a negative the other one was positive.

donnie1999
 one year ago
Best ResponseYou've already chosen the best response.0ohh so am i correct in saying that the answer is UP?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2I will give you some examples. OPENS UP (examples) \(\large\color{black}{ \displaystyle y=x^24x+2 }\) \(\large\color{black}{ \displaystyle y=0.2x^218 }\) \(\large\color{black}{ \displaystyle y=19x^2+6x }\) \(\large\color{black}{ \displaystyle y=3x^2+3x+3 }\) (as long as that number in front of x² is positive) OPENS DOWN (examples) \(\large\color{black}{ \displaystyle y=x^2 }\) \(\large\color{black}{ \displaystyle y=0.01x^2+200 }\) \(\large\color{black}{ \displaystyle y=9x^217x }\) \(\large\color{black}{ \displaystyle y=5x^2+3x7 }\) (as long as that number in front of x² is negative)
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