Knowee
Questions
Features
Study Tools

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

🧐 Not the exact question you are looking for?Go ask a question

Solution

Para resolver esta pregunta, sigamos los siguientes pasos:

  1. Identificar la función original: La función original es f(x)=x f(x) = x .

  2. Entender qué significa estirar verticalmente: Estirar verticalmente una función por un factor de 15 significa multiplicar la salida de la función (el valor de f(x) f(x) ) por 15.

  3. Aplicar el estiramiento vertical: Multiplicamos la función original por 15. Entonces, la nueva función será g(x)=15f(x) g(x) = 15 \cdot f(x) .

  4. Sustituir f(x) f(x) en la nueva función: Sabemos que f(x)=x f(x) = x , por lo que g(x)=15x g(x) = 15 \cdot x .

Por lo tanto, la ecuación de la nueva función es:

C. g(x)=15x g(x) = 15x

This problem has been solved

Similar Questions

If you shift the linear parent function, f(x) = x, to the left 5 units, what is the equation of the new function?A.g(x) = 5B.g(x) = 5xC.g(x) = xD.g(x) = x + 5

Let g(x) be the indicated transformation(s) of f (x) = x. Write the rule for g(x) .15. vertical stretch by a factor of 4

What is the equation of the graph that represents the parent function f(x) = x4 stretched vertically by a factor of 2, and then shifted up 3 spaces.A.g(x) = 2(x + 3)4B.g(x) = 2x4 - 3C.g(x) = 2x4 + 3D.g(x) = 2(x4 + 3)SUBMITarrow_backPREVIOUS

the linear parent function?

A function g(x) increases by a factor of 1.15 over every unit interval in x and g(0)=1.Which could be a function rule for g(x)?

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.