Answer:
n = - 6
Step-by-step explanation:
Given k(x) then k(x) + n is a vertical translation of k(x)
• If n > 0 then a shift up of n units
• If n < 0 then a shift down of n units
Here k(x) has been shifted from (0, 0 ) to (0, - 6 )
That is a shift down of 6 units, then
p(x) = k(x) - 6
That is n = - 6
the answer is c...........
The fucntion is an exponential function. The correct option is D; P(x) = 100,000(0.9)^x.
<h3>What are exponential functions?</h3>
When the expression of function is such that it involves the input to be present as an exponent (power) of some constant, then such function is called exponential function.
For example, y^x, where a is a constant is an exponential function.
The table below shows the population of a city for the five years following the closing of a large factory in the city.
We can see that the when we put the value of x = 0 we get p(x) is 100,000
when we put x = 1. we get p(x) = 90,000.
So, We conclude that the function is an exponential function as the value of x increases the value of p(x) decreases.
Hence, the fucntion is an exponential function. The correct option is D; P(x) = 100,000(0.9)^x.
Learn more about function;
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Answer:
Answer:
quadrilateral 1 and quadrilateral 2 NOT CONGRUENT
quadrilateral 1 and quadrilateral 3 CONGRUENT
quadrilateral 1 and quadrilateral 4 CONGRUENT
quadrilateral 2 and quadrilateral 3 NOT CONGRUENT
quadrilateral 2 and quadrilateral 4 NOT CONGRUENT
quadrilateral 3 and quadrilateral 4 CONGRUENT
Step-by-step explanation:
quadrilateral 1 and quadrilateral 2 NOT CONGRUENT
quadrilateral 1 and quadrilateral 3 CONGRUENT:
rigid motion: reflection
axis of reflection: y=x
quadrilateral 1 and quadrilateral 4 CONGRUENT:
rigid motions: translation and reflection
axis of reflection y=0
quadrilateral 2 and quadrilateral 3 NOT CONGRUENT
quadrilateral 2 and quadrilateral 4 NOT CONGRUENT
quadrilateral 3 and quadrilateral 4 CONGRUENT:
rigid motions: translation and reflection
axis of reflection: x=0
