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KengaRu [80]
3 years ago
11

Which translation maps the graph of the function fx=x2 onto the function gx= x2+(-8x)+7

Mathematics
1 answer:
Olin [163]3 years ago
8 0

Answer:

<h2>Shift the graph of f(x) 4 units to the right</h2><h2>and 7 units up</h2>

Step-by-step explanation:

f(x) + n - shift a graph of f(x) n units up

f(x) - n - shift a graph of f(x) n units down

f(x + n) - shift a graph of f(x) n units to the left

f(x - n) - shift a graph of f(x) n units to the right

=============================================

We have

f(x)=x^2,\ g(x)=x^2+(-8x)+7

Convert the equation of g(x) to the vertex formula:

y=a(x-h)^2+k

g(x)=x^2+(-8x)+7\\\\g(x0=x^2-2(x)(4)+7\\\\g(x)=\underbrace{x^2-2(x)(4)+4^2}-4^2+7\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\g(x)=(x-4)^2+7=f(x-4)+7\\\\\text{shift the graph of f(x) 4 units to the right and 7 units up}

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Fizzbos sells only sandwiches. They offer five choices of bread, five types of meat toppings, four types of cheese and eight veg
sineoko [7]

Answer:

<em>800 possible combinations</em>

Step-by-step explanation:

We can reach the answer by simple logic reasoning. Knowing Fizzbos' sandwiches have one type of bread, one meat, one type of cheese and one vegetable for their sandwiches, we can find the possible combinations like this:

We have 5 choices of bread, there are, of course, 5 different kinds of sandwiches to offer.

We also know there are 5 types of meat toppings which, combined with the 5 possible choices we already have, will make  

5*5 possible combinations

Now we consider the 4 types of cheese combined with our previous kinds of sandwiches to get

5*5*4 possible combinations

Finally, we have 8 vegetable toppings, making our final result

5*5*4*8 = 800 possible combinations

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