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A parabola.

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Q: What is the shape of the graph of a quadratic equation called?
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Related questions

What shape does the quadratic graph make?

The graph of a quadratic equation has the shape of a parabola.

What do you call the graph of quadratic equation?

It is in the shape of a parabola

What do all graphs of quadratic functions have in common?

The graph of a quadratic equation is a parabola.

What is the shape of a quadratic equation?


What different information do you get from vertex form and quadratic equation in standard form?

The graph of a quadratic function is always a parabola. If you put the equation (or function) into vertex form, you can read off the coordinates of the vertex, and you know the shape and orientation (up/down) of the parabola.

What does changing the a variable do to the graph of a quadratic?

I assume this question refers to the coefficient of the squared term in a quadratic and not a variable (as stated in the question). That is, it refers to the a in ax2 + bx + c where x is the variable.When a is a very large positive number, the graph is a very narrow or steep-sided cup shape. As a become smaller, the graph gets wider until, when a equals zero (and the equation is no longer a quadratic) the graph is a horizontal line. Then as a becomes negative, the graph becomes cap shaped. As the magnitude of a increases, the sides of the graph become steeper.

Why is a quadratic equation a parbola?

Because when it is plotted on the Cartesian plane it forms the shape of a parabola

What do you call a V-shape on a graph?

That is a result of an absolute value equation. So an Absolute Value Graph

Why is a quadratic graph shaped that way?

because there are usually two intercepts for that type of equation, so the line must cross over the x axis twice. the parabola is the only shape that complies with my earlier statement.

What is the difference between a line graph and a linear equation?

A linear equation, when plotted, must be a straight line. Such a restriction does not apply to a line graph.y = ax2 + bx +c, where a is non-zero gives a line graph in the shape of a parabola. It is a quadratic graph, not linear. Similarly, there are line graphs for other polynomials, power or exponential functions, logarithmic or trigonometric functions, or any combination of them.

When you graph a quadratic function what will the shape of the graph be?

A parabola. An arch opening either north or south of the x-axis depending on the sign of the coefficient (negative opens down, positive opens up).

How do you solve quadratics using graphing?

Recall that the graph of a linear equation in two variables is a line. The equation y = ax^2 + bx + c, where a, b, and c are real numbers and a is different than 0 represents a quadratic function. Its graph is a parabola, a smooth and symmetric U-shape. 1. The axis of symmetry is the line that divides the parabola into two matching parts. Its equation is x = -b/2a 2. The highest or lowest point on a parabola is called the vertex (also called a turning point). Its x-coordinate is the value of -b/2a. If a > 0, the parabola opens upward, and the vertex is the lowest point on the parabola. The y-coordinate of the vertex is the minimum value of the function. If a < 0, the parabola opens downward, and the vertex is the highest point on the parabola. The y-coordinate of the vertex is the maximum value of the function. 3. The x-intercepts of the graph of y = ax^2 + bx + c are the real solutions to ax^2 + bx + c = 0. The nature of the roots of a quadratic function can be determined by looking at its graph. If you see that there are two x-intercepts on the graph of the equation, then the equation has two real roots. If you see that there is one x-intercept on the graph of the equation, then the equation has one real roots. If you see that the graph of the equation never crosses the x-axis, then the equation has no real roots. The roots can be used further to determine the factors of the equation, as (x - r1)(x -r2) = 0

Is there an equation that could make a graph with a shape of a w or an m?

Most "quartic" functions will give you a M- or a w- shaped graph. Try y = x^4 -4x^2 for a W-shape, and y = -x^4 + 4x^2 for a M-shape.

What shape is a Cooling curve graph?

A Cooling curve graph changes shape.

What is the shape a graph makes when it not a linear equation?

Any shape at all - other than a straight line. It could be a smooth curve, or a zigzag or a set of disconnected bits - whatever.

What name is given to the shape of a quadratic function?

A parabola

What is 6x2 plus 20xy plus -16y2?

It is a quadratic expression in x and y. Since it is not an equation it cannot be solved or represent any shape in the 2-dimensional plane.

What is the shape of a graph of a linear relationship?

A straight line. y=ax + b is called a linear relationship. y=ax2 + bx +c is called quadratic because the HIGHEST power of x is 2. A term with x3 would make it a cubic relationship, x4 would make it quartic and so on.

What is the shape of a displacement-time graph for an object that is constantly speeding up?

If the Object is falling at a constant velocity the shape of the graph would be linear. If the object is falling at a changing velocity (Accelerating) the shape of the graph would be exponential- "J' Shape.

How do you get the equation for a graph?

You need to look at the graph first. The shape of the graph will give you hint as to what general form of equation would produce such a graph, then based on the numerical values for the dependent variable, you shouuld be able to figure out the exact equation or family of equations for the graph. For example what equation would produce a straight line, a curve--parabola, a circle, an eclipse, etc.? For your referance, you may review the (Conic Sections of Algebra or Precalculus). However, in higher level mathematics like Calculus, there are specific techniques in doing that but it's for me to discuss. Only well skilled mathematicians would discuss that for you. If you will, you may copy and past the particular graph you are referring to, together with the question exactly as it comes from your source.

What shape does the graph of linear relationship take?

It takes the shape of a line.

What is the general shape of a graph of a quadratic function in the form yax2 c?

y = ax2 + c is a parabola, c is the y intercept of the parabola. It also happens to be the max/min of the function depending if a is positive or negative.

How does a quadratic model differ from linear model?

LinearIn a linear model, the plotted data follows a straight line. Every data point may not fall on the line, but a line best approximates the overall shape of the data. You can describe every linear model with an equation of the following form:y = mx + bIn this equation, the letter "m" describes the angle, or "slope," of the line. The "x" describes any chosen value on the horizontal axis, while the "y" describes the number on the vertical axis that corresponds to the chosen "x" value.QuadraticIn a quadratic model, the data best fits a different type of curve that mathematicians call quadratic. Quadratic models have a curved shape that resembles the letter "u." You can describe all quadratic models with an equation of the form:Y = ax^2 + bx + cAs with linear models, the "x" corresponds to a chosen value on the horizontal axis and "y" gives the correlating value on the vertical axis. The letters "a," "b" and "c" represent any number, i.e., they will vary from equation to equation

What does the shape of the sine graph depend on?


What is a pattern in a graph?

When a graph shows a trend that is noticeable. Such as a line or a curve in a certain shape.

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