Question

The graph shows the function f(x) = (2.5)^x was horizontally

Answer 1

Answer:

its -2

Step-by-step explanation:

Answer 2

Answer:

h must be equal to - 2.

Step-by-step explanation:

See the attached graph.

The original function $f(x) = (2.5)^{x}$ ........... (1) is plotted in the graph denoted by the blue curve.

And the translated curve to the original function i.e. $f(x) = (2.5)^{x - h}$ ............ (2) is plotted in the graph denoted by the red curve.

Now, the blue curve passes through the point (0,1) point and the red curve passes through the point (-2,1) point.

Therefore, the x-coordinate gets reduced by 2 units in the translated curve corresponding to a certain y-coordinate.

Therefore, h must be equal to - 2. (Answer)