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"Sliding": moving a shape without rotating or flipping it.

The shape still looks exactly the same, just in a different place.

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If the graph is rising from left to right, like climbing a hill, the slope is positive (on a graph, you could count up y units divided by right x units). If it is going down from left to right (like sliding down a hill), the slope is negative (on a graph you have to count down y units and right x units).

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The vertex form of a quadratic function is given by
f (x) = a(x - h)² + k, where (h, k) is the vertex of the parabola.

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(mathematics), a relation between two values when they are different.

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are sums with variable and exponents expressions

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The graphs of Quadratic function

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In mathematics, an equation is a statement that asserts the equality of two expressions. The word equation and its cognates in other languages may have subtly different meanings; for example, in French an équation is defined as containing one or more variables, while in English any equality is an equation