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1 answer:
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Given:
The graph of an exponential function.
To find:
The exponential growth factor as x increases by 1 unit.
Solution:
From the given graph, it is clear that the exponential function passes through the points (1,1) and (3,9). So, the equation of the exponential must must be satisfy by these points.
The general exponential function is:
...(i)
Where, a is the initial value and b is the growth factor.
Putting in (i), we get
...(ii)
Putting in (i), we get
...(iii)
Divide (iii) by (ii).
b is the the growth factor and the value of b is 3.
Therefore, the exponential growth factor is 3 as x increases by 1 unit.
Answer:
stretched by a factor of 2, reflected over the y-axis, and translated 9 units left
Step-by-step explanation:
The given function is
We can rewrite this function by factoring -4 in the radicand to get:
We further simplify the square root of 4 to get:
The parent function is
When we compare to the parent function, there is a stretch by a factor of 2, reflection over the y-axis, and translation 9 units left
The last option is correct