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Look at the discriminant, B2 - 4AC, in the quadratic equation. As it goes from negative to positive, the parabola moves in the direction of its small end towards the X-axis. At zero, it touches the X-axis.
What else can I help you with?
How can you tell if an equation is a parabola?
Any and all conics, parabolas included, take the form Ax2 + Bxy + Cy2 + Dx + Ey + F = 0, with A, B, and C not all zero. The parabolas themselves have B2 - 4AC = 0.
What is the connection between slope in a linear function and the a coefficient in a quadratic?
The slope of a linear function is the coefficient of the x term. The sign of this number will determine if the line increases as x increases, or decreases as x increases (slopes up or down). The magnitude of the slope determines how steep the line is (how fast it increases).The coefficient of the x2 term in a quadratic function will tell you similar characteristics of the parabola. The sign will tell you if the parabola opens up or down. The magnitude of the coefficient tells you how steeply the graph changes.
How do you tell if a quadratic function is minimum value or a maximum vale?
Standard notation for a quadratic function: y= ax2 + bx + c which forms a parabola, a is positive , minimum value (parabola opens upwards on an x-y graph) a is negative, maximum value (parabola opens downward) See related link.
What can the discriminant tell you about a quadratic equation?
It can tell you three things about the quadratic equation:- 1. That the equation has 2 equal roots when the discriminant is equal to zero. 2. That the equation has 2 distinctive roots when the discriminant is greater than zero. £. That the equation has no real roots when the discriminant is less than zero.
How can you tell if an equation is a linear relationship?
If it is in a y=mx+b format. Also, if there is a slope and a constant in the equation.
How do you tell if a parabola opens up or down?
To determine if a parabola opens up or down, look at the coefficient of the quadratic term in its equation, typically in the form (y = ax^2 + bx + c). If the coefficient (a) is positive, the parabola opens upwards; if (a) is negative, it opens downwards. You can also visualize the vertex: if the vertex is the lowest point, it opens up, and if it's the highest point, it opens down.
How can you tell which way a parabola wil open just by lookig at the equation?
If you have the equation in the form y = ax^2 + bx + c (where "^2" means squared), if "a" is positive, the parabola opens upwards; otherwise it opens downwards.
How can you tell if the parabola shifts up or down?
If the parabola is f(x) = ax^2 + bx + cthen f(x) + k shifts up by k.
How can you tell if a porabola is opening up or down using ax2 plus bx plus c?
If a is positive, then the parabola opens upwards; if negative, then it opens downwards.
How can you tell which way a parabola will open just by looking at an equation?
You can tell by the presence or absence of a negative number for a in the form ax2+bx+c. So, for example, 4x2+2x+1 opens upwards, while -4x2+2x+1 opens downwards.
How can you tell if an equation is a parabola?
Any and all conics, parabolas included, take the form Ax2 + Bxy + Cy2 + Dx + Ey + F = 0, with A, B, and C not all zero. The parabolas themselves have B2 - 4AC = 0.
What does a graph tell you?
A graph of an equation (or function) helps to clarify the behavior of that equation. In this case, the behavior of the graph is just that: it describes how something acts-- for example:Whether it is a straight line or a bending curveHow many times it changes direction and whereWhether the y-value becomes greater or smaller (moves up or down), or stays constant, as it moves from left to rightIf it is discontinuous (skips around without warning, turns sharply, flies up into infinity for a while, or simply vanishes for a short time)What the equation must look like, such as a line for a linear equation (y = mx + b) or a parabola for a quadratic equation (y = ax2 + bx + c)When the equation crosses the x-axis, something that is very useful to know in Algebra and later mathematicsHow fast the equation is increasing or decreasingIn Calculus, a graph can be used to find the derivative of a function, which is a new function that describes the slope of a function at each pointIn general, a graph is a very useful tool to understand how an equation works, and can make encounters with new and unfamiliar forms of equations easier to understand.
When a teenage boy moves too fast what do you do?
just tell him, just ask him to slow it down if you are uncomfortable :)
Can you tell how a quadratic equation can become linear equation?
You can easily tell by substituting 0 for a.
What is the connection between slope in a linear function and the a coefficient in a quadratic?
The slope of a linear function is the coefficient of the x term. The sign of this number will determine if the line increases as x increases, or decreases as x increases (slopes up or down). The magnitude of the slope determines how steep the line is (how fast it increases).The coefficient of the x2 term in a quadratic function will tell you similar characteristics of the parabola. The sign will tell you if the parabola opens up or down. The magnitude of the coefficient tells you how steeply the graph changes.
How can you tell if a equation is quadratic?
if yo mama is a bope then it is a equation
How do you tell if a quadratic function is minimum value or a maximum vale?
Standard notation for a quadratic function: y= ax2 + bx + c which forms a parabola, a is positive , minimum value (parabola opens upwards on an x-y graph) a is negative, maximum value (parabola opens downward) See related link.
