Algebraically, these transformations correspond to adding or subtracting terms to the parent function and to multiplying by a constant. For example, the function y = 2 x ^2 + 4 x can be derived by taking the parent

Example 4. Identify the parent function of the following functions. f(x) = x 3 – 2x + 1; g(x) = 3√x + 1; h(x) = 4/ x; i(x) = e x + 1 ; Solution. The

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The parent function in graphing is the basic equation where the graph is free from any transformation. For example, y=x is a parent function of a straight line. This graph may be

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The following figures show the graphs of parent functions: linear, quadratic, cubic, absolute, reciprocal, exponential, logarithmic, square root, sine, cosine, tangent. Scroll down the page for more examples and solutions.

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Absolute Value Parent Function . Equation: y = |x| Domain: All real numbers; Range: All real numbers greater than or equal to 0. (y ≥ 0) Y-intercept: (0,0) X-intercept: (0,0) Line of

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A function can be represented using an equation, and the parent function is the simplest form of that equation. The parent function is what you get when you allow all of the

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