How does the graph of [tex]f(x) = -4^{5x}-3[/tex] differ from the graph of [tex]g(x) = -4^{5x}[/tex]?

A. The graph of [tex]f(x)[/tex] is shifted three units to the left of the graph of [tex]g(x)[/tex].
B. The graph of [tex]f(x)[/tex] is shifted three units up from the graph of [tex]g(x)[/tex].
C. The graph of [tex]f(x)[/tex] is shifted thee units to the right of the graph of [tex]g(x)[/tex]
D. The graph of [tex]f(x)[/tex] is shifted three units down from the graph of [tex]g(x)[/tex].

Respuesta :

Answer:

D

Step-by-step explanation:

When a number is listed outside the function it is a vertical movement. So negative is down, positive is up!

Inside the function would be left/right. This would have been found in your exponent.

D. The graph of [tex]f(x)[/tex]  is shifted three units down from the graph of g(x).

f(x) = [tex]-4^{5x} -3[/tex] and g(x) = [tex]-4^{5x}[/tex]

What is the graph translation Theorem?

In general, replacing x with x – h in a mathematical sentence translates its graph h units horizontally. Similarly, replacing y with y – k in a sentence translates its graph k units vertically.

For example, your sketch of Group B should show that the graph of y = x2 + 3 is 3 units above the graph of y = x2.

What is the slope of 4x Y 6?

Using the slope-intercept form, the slope is 4 . All lines that are parallel to y=4x−6 y = 4 x - 6 have the same slope of 4 .

To learn more about The graph, refer

https://brainly.com/question/2164928

#SPJ2