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What causes some parabolas to have no x-intercepts?

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If the parabola has its concavity turned downward and it maximum value is lower than 0 then the value of the functions are always negative (never reach 0).
Similarly, if the parabola has it concavity turned upward, and its minimum value is positive, then all the values of the functions are positive (never reach zero). Thus if y is never equal to zero the function has no x intercepts.
The concavity is called by some people the mouth.

Posted on Oct 13, 2013

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Posted on Jan 02, 2017

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Representing a solution using


The 1/2 coefficient controls how wide the parabola is. A smaller number (ex: a fraction) creates a wider opening in the parabola, whereas a larger number (ex: 4) creates a more narrow parabola.

Jun 12, 2013 | Office Equipment & Supplies

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Minimum or maximum values of a parabola


Follow these steps: graph the parabola and after that 2nd then CALC keypad. To find extreme value of the function select 3: min or 4: max options. Select the function and set left bound, right bound(using left and right arrows) by pressing ENTER. You can see images bellow for all these steps for the y=-2x^2+5x+3


1. step: graphing parabola
3_9_2012_7_34_06_pm.jpg


2. step: left or lower bound
3_9_2012_7_36_01_pm.jpg


3. step: right or upper bound
3_9_2012_7_37_33_pm.jpg


4.step: extreme value of the function
3_9_2012_7_39_04_pm.jpg

Mar 08, 2012 | Texas Instruments TI84PLUS Slvr Viewscreen...

2 Answers

Minimum or maximum value of a parabola


Follow these steps: graph the parabola and after that 2nd then CALC keypad. To find extreme value of the function select 3: min or 4: max options. Select the function and set left bound, right bound(using left and right arrows) by pressing ENTER. You can see images bellow for all these steps for the y=-2x^2+5x+3

1. step: graphing parabola
3_9_2012_7_34_06_pm.jpg

2. step: left or lower bound
3_9_2012_7_36_01_pm.jpg

3. step: right or upper bound
3_9_2012_7_37_33_pm.jpg

4.step: extreme value of the function
3_9_2012_7_39_04_pm.jpg

Mar 08, 2012 | Texas Instruments TI-84 Plus Silver...

1 Answer

How to set up mode for graphing


To draw a graph, it helps if you know approximately where it is going to show up so that you can set up a window.
Try this:
Press the [Y=] button
Enter the following equation: 5*x^2-5*x (five x-squared minus five times x) by pressing the following calculator keys:
5 X (times) x^2 (x squared key) - (minus) 5 X (times) x (key labled x,t,n) in between the ALPHA and STAT keys
now press the zoom key and select #6 - ZStandard (this will give you a standard zoom)
You should see a parabola drawn on the screen.
If you enter in some equation and do not see it on the screen, you can try zooming out (zoom key) or setting up your display window, using the window key.
This is where it helps to know where your x and / or y intercepts are.
From there, you can use trace to move around the graph, 2nd+graph (table) to see your x and y intercepts.

Dec 22, 2010 | Texas Instruments TI-83 Plus Calculator

2 Answers

TI-83 graph problems-help please. Hi, sorry to sound so stupid, but trying for hours to try to solve these using my calculator,but doing something wrong as can't get the right answers. I wonder if anyone...


Parabolas
Open Y= editor and type in the two functions
6447ca5.jpgbbeaa23.jpg
The calculaus functions are accessible by pressing [2nd][TRACE] to open the CALCulate menu options. For the gradient (I think you mean the derivative) use option 6:dy/dx. But first choose the point where you want it calculated (use cursor to move along the curve) and press ENTER. The value of the deivative will be calculated at the chosen point.
50e3257.jpg005508b.jpg

The vertex of the parabolas are maxima. Thus you must use option 4:maximum
24d4168.jpgb57bf8d.jpg
You will be prompted for a left bound. Move cursor to the left of the maximum (not too far) and press [ENTER]. A fat arrow is displayed on the graph that shows the left limit of the interval. You will be prompted for a right bound. Move cursor along the curve to the right of the the vertex. Press ENTER. A seconf fat arrow will be displayed to show the right limit of the interval.

You will be prompted for a guess of the maximum. Move cursor newar the max or enter a numerical value and press ENTER.

3b702ee.jpg22c11ef.jpg

The location of the vertex is displayed (X and Y values)
3908f7c.jpg
I have no idea what you mean by the equation of symmetry

Intercept.

May 02, 2010 | Texas Instruments TI-83 Plus Calculator

1 Answer

How do I graph parabolas?


Parabolas are forms of the base equation X^2. So press the [Y=] key, and then type in the variation of x squared that you want

May 11, 2009 | Texas Instruments TI-83 Plus Calculator

1 Answer

Graphing parabola


Parabolas are forms of X^2. Go to [Y=], then put in the formula of the parabola that you want.

May 07, 2009 | Texas Instruments TI-83 Plus Calculator

1 Answer

Determining the equation of the parabola


V (2,0) and Focus (2,2)
since the focus is 2 units above the vertex, the parabola opens upward

vertex (h,k)
a is the focal length (distance between the vertex and the focus)
a = 2
(2 units above the vertex)

(x-h)^2 = 4a (y-k)
(x-2)^2 = 4(2) (y-0)
x^2 - 4x + 4 = 8 (y)
x^2 - 4x + 4 = 8y
x^2 - 4x - 8y + 4 = 0

**Answer: "(x-2)^2 = 8 (y)" or in expanded form "x^2 - 4x - 8y +4"

Nov 18, 2008 | Super Tutor Trigonometry (ESDTRIG) for PC

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