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

     Jun 5, 2024

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     Parabolas: Open up or down? Min or Max?

     Apr 18, 2012

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

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2. 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 fa...

   • Video Duration: 2 min
   • Views: 3.6K

   • Author: GoTutor Math

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

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   Determine the parabola's direction of opening: {eq}f (x)= (-2x-1) (x+4) {/eq} Step 1: To start, determine what form of a quadratic you are given. This example is in factored form. That means in ...

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5. 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
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   • Author: Daniel Ozimek

6. socratic.org › questions › how-do-you-tell-whetherHow do you tell whether the graph opens up or down, find the ...

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   Nov 30, 2017 · The graph (the Parabola) Opens Up, as the coefficient of x^2 term is greater than ZERO. Vertex = (-1, -2.5) and Axis of Symmetry x = -1 Graph attached for a visual proof. Standard Form of a Quadratic Equation is given by ax^2 + bx + c = 0 If a > 0 then the Parabola will "Open Up". If a < 0 then the parabola will "Open Down". Since in our Quadratic Equation, the coefficient of the x^2 term is ...

7. www.youtube.com › watch05 - Graphing Parabolas - Opening Up and Down (Quadratic ...

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   View more at www.MathAndScience.com.In this lesson, you will learn what factors determine if a parabola (quadratic equation) opens up or down in the xy plane...

   • Video Duration: 17 min
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   • Author: Math and Science

8. math.libretexts.org › Bookshelves › Algebra11.3: Parabolas - Mathematics LibreTexts

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   Feb 14, 2022 · Howto: Graph Horizontal Parabolas y = ax2 + bx + c or f(x) = a(x − h)2 + k using Properties. Step 1: Determine whether the parabola opens to the left or to the right. Step 2: Find the axis of symmetry. Step 3: Find the vertex. Step 4: Find the x x. -intercept. Find the point symmetric to the x x.

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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 graph a parabola that opens to the left?

   • To graph a parabola that opens to the left or to the right is basically the same as what we did for parabolas that open up or down, with the reversal of the \ (x\) and \ (y\) variables. Step 1: Determine whether the parabola opens to the left or to the right. Step 2: Find the axis of symmetry. Step 3: Find the vertex.

   11.3: Parabolas - Mathematics LibreTexts

   math.libretexts.org/Bookshelves/Algebra/Intermediate_Algebra_1e_(OpenStax)/11:_Conics/11.03:_Parabolas

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   What if the parabola opens upward in a quadratic equation?

   • Since in our Quadratic Equation, the coefficient of the x2 term is found to be > 0, the Parabola "Opens Upward". Also observe that, if the Parabola "Opens Upward" then our Vertex will be a "Minimum" of the Quadratic Function. We are given the Quadratic Function y = (1 2)x2 + x − 2

   How do you tell whether the graph opens up or down, find the vertex

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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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   What determines how steep a parabola is drawn?

   • If this coefficient is positive, the parabola opens upward. If the coefficient if negative, the parabola opens downwards. The magnitude of this number determines how steep the parabola is drawn. We will illustrate these ideas by working example problems and also by using a computer demo.

   05 - Graphing Parabolas - Opening Up and Down (Quadratic

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   How do you find the symmetry of a parabola?

   • Step 1: Determine whether the parabola opens to the left or to the right. Step 2: Find the axis of symmetry. Step 3: Find the vertex. Step 4: Find the \ (x\)-intercept. Find the point symmetric to the \ (x\)-intercept across the axis of symmetry. Step 5: Find the \ (y\)-intercepts. Step 6: Graph the parabola.

   11.3: Parabolas - Mathematics LibreTexts

   math.libretexts.org/Bookshelves/Algebra/Intermediate_Algebra_1e_(OpenStax)/11:_Conics/11.03:_Parabolas

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10. 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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    If the leading coefficient of a quadratic function is less than zero, a < 0, the parabola opens downward. For example: 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.