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3 years ago

What are the the transformations of h(x)= -f(x+4)-12

Mathematics

1 answer:

katrin [286]3 years ago

4 0

given f)x) then

- f(x) represents a reflection in the x-axis

f(x + 4 ) represents a shift of 4 units horizontally to the left

f(x) + 12 represents a vertical shift of 12 units down

thus h(x) = f(x + 4 ) - 12

is the graph of f(x), moved 4 units left, 12 units down and reflected in the x- axis

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Artemon [7]

Answer:

Let p be the population at t be the number of years since 2011. Then, $p=2000-50t$

The projected population of the high school in 2015=1800
In <u>2019</u> the population be 1600 students

Step-by-step explanation:

Given: The population at Bishop High School students in 2011 =2000

Also, Every year the population decreases by 50 students which implies the rate of decrease in population is constant.

So, the function is a linear function.

Let p be the population at t be the number of years since 2011.

Then, $p=2000-50t$

So at t=0, p=2000

In year 2015, t=4, substitute t=4 in the above equation ,we get

$p=2000-50(4)\\\Rightarrow\ p=2000-200\\\Rightarrow\ p=1800$

Hence, the projected population of the high school in 2015=1800

Now, put p=1600 in the function , we get

$1600=2000-50t\\\Rightarrow50t=2000-1600\\\Rightarrow50t=400\\\Rightarrow\ t=\frac{400}{50}\\\Rightarrow\ t=8$

Now, 2011+8=2019

Hence, in <u>2019</u> the population be 1600 students

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