f you vertically stretch the linear parent function, f(x) = x, by a factor of 15, what is the equation of the new function?A.g(x) = xB.g(x) = 15C.g(x) = 15xD.g(x) = x + 15
Question
f you vertically stretch the linear parent function, f(x) = x, by a factor of 15, what is the equation of the new function?A.g(x) = xB.g(x) = 15C.g(x) = 15xD.g(x) = x + 15
Solution
Para resolver esta pregunta, sigamos los siguientes pasos:
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Identificar la función original: La función original es .
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Entender qué significa estirar verticalmente: Estirar verticalmente una función por un factor de 15 significa multiplicar la salida de la función (el valor de ) por 15.
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Aplicar el estiramiento vertical: Multiplicamos la función original por 15. Entonces, la nueva función será .
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Sustituir en la nueva función: Sabemos que , por lo que .
Por lo tanto, la ecuación de la nueva función es:
C.
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