The shape of a parabola is shown in this picture: Notice that the parabola a line of symmetry, meaning the two sides mirror each other. There are two patterns for a parabola, as it can be either vertical (opens up or down) or horizontal (opens left or right.) If the x is squared, the parabola is ...

4/18/2012 · How can we determine if a parabola will open up or down? When will a quadratic function have a minimum or maximum?

5/27/2008 · a parabola will usually have an equation like y= -2x^2 + 3x +2 (2x squared) What determines whether it is up or down is the sign of the coefficient of the x squared term in this case it is -2. If the sign of the coefficient is negative then it the open part of the parabola will be facing down.

Determine the direction in which the following parabola opens, if the y-axis is vertical and the x-axis is horizontal: We can see that our equation is for , which means the parabola will open either left or right. The sign of the first term is negative, so this parabola will open to the left ...

You can put this solution on YOUR website! How can I tell if a graph opens up or down by looking at the equation For the quadratic equation: if a>0 it will open up. if a0 it will open down. Let's look at an example: for a=2, b=2 and c=1

7/5/2012 · This is the third video in a series of eight that takes a comprehensive look at the parabola. In this video we look at the distinguishing characteristics of parabolas that open up, down, left or ...

I found this site- Parabolas I worked with my granddaughter on the subject, and she struggled. (I did a little, but stuck with it) It’s been about seven years since then, and I’ve almost forgotten all I learned, because, since her school days, I’v...

4/1/2009 · Best Answer: If the parabola opens up, there will be a positive sign in front of the x, for example y=x^2. If it opens down, it will have a negative in front of the x, like y=-x^2

All parabolas are vaguely “U” shaped and they will have a highest or lowest point that is called the vertex. Parabolas may open up or down and may or may not have \(x\)-intercepts and they will always have a single \(y\)-intercept. Note as well that a parabola that opens down will always open down and a parabola that opens up will always ...

How can you tell if a parabola moves up or down in an equation? Look at the discriminant, B2 - 4AC, in the quadratic equation. ... a is positive , minimum value (parabola opens upwards on an x-y ...

So I am gonna try to prove from "slope" perspective. I hope it's clear that if our parabola opens upward then slope is positive else negative for say large positive x values.

Explains how to determine the orientation of a parabola. Explains how to find which direction the parabola opens when given the equation of the parabola in either standard form or vertex form. Also explains how to find the orientation of the parabola when given only the focus and directrix of the parabola.

How can you tell if the parabola shifts up or down? ... For a parabola, if the highest power of y is the 1st power (no exponent) and the highest power of x is 2, then the parabola opens up or down ...

You can put this solution on YOUR website! standard form of a quadratic equation is y = f(x) = ax^2 + bx + c if it opens up or down. standard form of a quadratic equation is x …

By Yang Kuang, Elleyne Kase . Vertical parabolas give an important piece of information: When the parabola opens up, the vertex is the lowest point on the graph — called the minimum, or min.When the parabola opens down, the vertex is the highest point on the graph — called the maximum, or max.

Positive and Negative Parabolas. Q: ... The sign (+ or -) of the a value determines if the parabola opens upwards or downwards. Let’s compare the graphs of , where a=+1 and , where a=-1. Math, Math 11, Quadratic Functions open, opens down, opens up, parabolas, up or down « Changing the value of a in Parabola equation y=a(x-p)^2+q Graphing ...