Answer:
Is there a link?
Step-by-step explanation:
Without graphing, the final position of the figure that is translated by
(x - 5, y + 7), and then by (x + 5, y -
7) ends
up in the same position it was, before the translations.
Let’s check this example:
Think of point (1, 1). The point is translated to (-4, 8); and then it is moved
back to point (1, 1). The x spot’s -5 and +5 cancel each other out and the same
can be said for the y’s.
To add, a geometric transformation<span> that changes every point of a space by the same amount
in a given direction or a figure is called a translation.</span>
Answer:
h(x) = 3^(x + 1)
Step-by-step explanation:
The exponential function is;
g(x) = 3^(x)
Now, in transformation of exponential functions of say f(x) = b^(x), when the new function g(x) is created by stretching by a factor of say c along the y-axis, we have;
g(x) = c•b^(x)
In this question, we are told it is stretched by a factor of 3 along the y-axis.
Thus, new function h is;
h(x) = 3 × 3^(x)
Using law of indices, we have;
h(x) = 3^(x + 1)
Answer:
Step-by-step explanation:
step 1
Find the volume of the prism
The volume of the prism is equal to
we have
substitute
step 2
Find the volume of the pyramid
The volume of the pyramid is
where
B is the area of the base
---> half the height of the prism
substitute
step 3
we know that
The volume of the space outside the pyramid but inside the prism is equal to subtract the volume of the pyramid from the volume of the cylinder
