A parabola.
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.
It depends on whether the value of the power.
A quadratic equation is an equation with the form: y=Ax2+Bx+C The most important point when graphing a parabola (the shape formed by a quadratic) is the vertex. The vertex is the maximum or minimum of the parabola. The x value of the vertex is equal to -B/(2A). Once you have the x value, just plug it back into the original equation to get the corresponding y value. The resulting ordered pair is the location of the vertex. A parabola will be concave up (pointed downward) if A is +. It will be concave down (pointed upward) if A is -. It is often helpful to find the zeroes of a function when graphing. This can be done by factoring or using the quadratic formula. For every n units away from the vertex on the x-axis, the corresponding y value goes up (or down) by n2*A. Parabolas are symetrical along the vertex, which means that if one point is n units from the vertex, the point -n units from the vertex has the same y value. As an example take the following quadratic: 2x2-8x+3 A=2, B=-8, and C=3 The x value of the vertex is -B/2A=-(-8)/(2*2)=2 By plugging 2 into the original equation we get that the vertex is at (2,-5) 3 units to the right (x=5) has a y value of -5+32*2=13. This means that 3 units to the left (x=-1) has the same y value (-1,13). If you need a clearer explanation, ask a math teacher.
It is very hard but if you have the right stuff you can do it.
it is called a seven sided shape in Canada
The graph of a quadratic equation has the shape of a parabola.
It is in the shape of a parabola
The graph of a quadratic equation is a parabola.
Square
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.
An example of an equation with a degree greater than 1 is (y = x^2 - 4x + 4). This is a quadratic equation, and its graph is a parabola, which does not produce a straight line. Since its highest exponent is 2, it is classified as degree 2, and the graph will show a curved shape rather than a linear one.
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.
Because when it is plotted on the Cartesian plane it forms the shape of a parabola
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.
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.
In the standard form of a quadratic equation ( y = ax^2 + bx + c ), the value of ( a ) determines the direction and the shape of the graph. If ( a > 0 ), the parabola opens upwards, while if ( a < 0 ), it opens downwards. Additionally, the absolute value of ( a ) affects the width of the parabola: larger values of ( |a| ) result in a narrower graph, while smaller values lead to a wider graph.
That is a result of an absolute value equation. So an Absolute Value Graph