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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.
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 is subgraph in given graph?
If all the vertices and edges of a graph A are in graph B then graph A is a sub graph of B.
What is the definition of parent graph?
the parent graph of a graph
What is the difference between a linear function and a quadratic equation?
A linear equation describes a line like 2x+1=y. If you were to graph that equation, then it would give you a line. A quadratic equation is like x^2+2x+1=y. Graphing this equation would give you a U shaped graph called a parabola.
