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What else can I help you with?
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.
How do you graph a quadratic equation?
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.
What does the power do to the shape of a graph?
It depends on whether the value of the power.
How do you find the perimeter of a shape on a graph?
It is very hard but if you have the right stuff you can do it.
What is a 7 sided shape in Canada called?
it is called a seven sided shape in Canada
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?
Square
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 is an equation with a degree greater than 1. The graph of the equation will not produce a line?
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.
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.
What does changing the a variable do to quadratic graph?
Changing a variable in a quadratic equation affects the shape and position of its graph. For example, altering the coefficient of the quadratic term (the leading coefficient) changes the width and direction of the parabola, while modifying the linear coefficient affects the slope and position of the vertex. Adjusting the constant term shifts the graph vertically. Overall, each variable influences how the parabola opens and its placement on the coordinate plane.
How do you look at a graph and tell what the quadratic function i?
To determine the quadratic function from a graph, first identify the shape of the parabola, which can open upwards or downwards. Look for key features such as the vertex, x-intercepts (roots), and y-intercept. The standard form of a quadratic function is ( f(x) = ax^2 + bx + c ), where ( a ) indicates the direction of the opening. By using the vertex and intercepts, you can derive the coefficients to write the specific equation of the quadratic function.
What a b and c stand for in a quadratic equation?
In a quadratic equation of the form ( ax^2 + bx + c = 0 ), the letters represent specific coefficients: ( a ) is the coefficient of the ( x^2 ) term, which determines the parabola's opening direction and width; ( b ) is the coefficient of the ( x ) term, influencing the position of the vertex; and ( c ) is the constant term, representing the y-intercept of the quadratic function. Together, these coefficients define the unique shape and position of the quadratic 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.
