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     Parabolas: Open up or down? Min or Max?

     Apr 18, 2012

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     How do you determine if a parabola opens up or down?│Quadratic Function

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     05 - Graphing Parabolas - Opening Up and Down (Quadratic Equations)

     Aug 1, 2019

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2. study.com › skill › learnIdentifying the Direction a Parabola Opens from the Equation

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   If ab is positive, then the parabola opens up. If ab is negative, then the parabola opens down. How to Identify the Direction of Opening of a Parabola From its Equation Vocabulary

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3. www.youtube.com › watchParabolas: Open up or down? Min or Max? - YouTube

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   Apr 18, 2012 · How can we determine if a parabola will open up or down? When will a quadratic function have a minimum or maximum?

   • Video Duration: 3 min
   • Views: 102.3K

   • Author: Daniel Ozimek

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5. www.youtube.com › watchHow do you determine if a parabola opens up or down ... - YouTube

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   Jun 5, 2024 · This math tutorial explains how to determine whether a parabola opens upward or downward for a quadratic function given in standard form, vertex form and factored form.

   • Video Duration: 2 min
   • Views: 3.6K

   • Author: GoTutor Math

6. byjus.com › question-answer › how-do-you-know-if-aHow do you know if a parabola opens up or down - BYJU'S

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   To find out if parabola open upwards or downwards: If the leading coefficient of a quadratic function is greater than zero a > 0 , the parabola opens upward. If the leading coefficient of a quadratic function is less than zero, a < 0 , the parabola opens downward.

7. www.softschools.com › understanding_parabolasUnderstanding Parabolas - Softschools.com

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   If the x is squared, the parabola is vertical (opens up or down). If the y is squared, it is horizontal (opens left or right). If a is positive, the parabola opens up or to the right.

8. www.onlinemath4all.com › identify-the-direction-aIDENTIFY THE DIRECTION A PARABOLA OPENS - onlinemath4all

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   From the given equation of the parabola, find the direction it opens? x 2 = -16y. Solution : The given parabola is having square for the variable x, it is symmetric about y-axis. To decide in which direction does it open, we have to look into the sign. It has negative sign in front of 16y, so the parabola opens downward. Example 2 :

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   How do you determine if a parabola opens up or down?

   • If the leading coefficient of a quadratic function is less than zero, a <0 , the parabola opens downward. The parabola of equation y = 4 x 2 open upwards and the parabola of equation y = - 4 x 2 open downwards. Hence, with the help of leading coefficient a we can determine if parabola opens up or down.

   How do you know if a parabola opens up or down - BYJU'S

   byjus.com/question-answer/how-do-you-know-if-a-parabola-opens-up-or-down/

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   How do you find the direction of a parabola?

   • 4. Direction of Opening A parabola opens upward or downward. The coefficient a in the quadratic equation determines the direction in which the parabola opens. If the coefficient is positive, it opens upward; if negative, the parabola opens downward.

   Solving a Parabola Equation and Understanding Applications

   science.howstuffworks.com/math-concepts/parabola-equation.htm

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   How do you know if a parabola is vertical?

   • If the x is squared, the parabola is vertical (opens up or down). If the y is squared, it is horizontal (opens left or right). If a is positive, the parabola opens up or to the right. If it is negative, it opens down or to the left. The vertex is at (h, k). You have to be very careful.

   Understanding Parabolas - Softschools.com

   www.softschools.com/math/calculus/understanding_parabolas/

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   Which direction does a parabola open?

   • The given parabola is having square for the variable x, it is symmetric about y-axis. To decide in which direction does it open, we have to look into the sign. It has negative sign in front of 16y, so the parabola opens downward. Example 2 : From the given equation of the parabola, find in which direction it opens? y2 - 8y - x + 19 = 0 Solution :

   IDENTIFY THE DIRECTION A PARABOLA OPENS - onlinemath4all

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   What happens if the parabola is negative?

   • If a is negative, then the parabola opens down. If ab is positive, then the parabola opens up. If ab is negative, then the parabola opens down. Parabola: This the shape of a graph that is created by a quadratic function, or a type of function in which the highest power is 2.

   Identifying the Direction a Parabola Opens from the Equation

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   How do you factor a parabola?

   • If you are given factored form you need to take the product of your a and b value. A positive value means the parabola opens up, and a negative value means the parabola opens down. That is, If a is positive, then the parabola opens up. If a is negative, then the parabola opens down. If ab is positive, then the parabola opens up.

   Identifying the Direction a Parabola Opens from the Equation

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10. science.howstuffworks.com › math-concepts › parabolaSolving a Parabola Equation and Understanding Applications

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    Feb 5, 2024 · 1. Identify the Coefficients. In this case, a is 2, b is -4 and c is 1. a determines if the parabola opens up or down. In this case, it opens up since it's a positive number. b determines the tilt or slant of the parabola. c is a constant term that shifts the parabola up or down. 2. Find the Vertex. The parabola's vertex is (h, k).