The graph shows the function f(x) = (2.5)^x was horizontally
2 answers:
Answer:
h must be equal to - 2.
Step-by-step explanation:
See the attached graph.
The original function ........... (1) is plotted in the graph denoted by the blue curve.
And the translated curve to the original function i.e. ............ (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)
You might be interested in
First of all, let's recall the area of a triangle, knowing its base (b) and height (h):
The exercise is showing you that, if you inscribe a polynomial with more and more side, the area of the polynomial will approximate the area of the circle better and better (you can see youself that the polygon is "filling" the circle more and more as the number of sides increase).
Now, the second column tells you the area of each of the triangles the polygon is split into. So, we can see that the first polygon is split into 3 triangles, each of them having base 1.73 and height 0.5.
So, the area of each triangle is
There are three of these triangles, so the area of the whole polygon is
In the second case, you have six triangles, each with base 1 and height 0.87. So, the whole area is
Finally, in the last case you have 8 triangles, each with base 0.77 and height 0.92. So, the whole area is