If y = -x - 4 is horizontally stretched by a factor of 5, what is the equation after the transformation?​

Respuesta :

Answer:

y = -5x - 4

Step-by-step explanation:

When a graph is horizontally stretched by a factor of 5, the x-coordinates of all points on the graph are multiplied by 5. In other words, the x-coordinate of each point on the graph is five times what it was before the transformation.

We can apply this transformation to the equation y = -x - 4 by replacing every occurrence of x with 5x. This gives us the equation y = -(5x) - 4. We can simplify this equation by multiplying the -5 and the x to get y = -5x - 4. Therefore, the equation after the transformation is y = -5x - 4.

Answer:

  • y = - 1/5x - 4

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The function f(x) is horizontally stretched when the function f(bx) has the value of b between 0 and 1.

We have a function y = - x - 4.

If we need to find the equation of horizontally stretch of this function by a factor of 5, then our b = 1/5.

So the function is:

  • y = - 1/5x - 4