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IrinaK [193]
2 years ago
5

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = –8x + x2 + 7 ?

Mathematics
2 answers:
hjlf2 years ago
8 0
Vertex of x^2 = (0,0)

Vertex of x^2 - 8x + 7

     Find the roots by factoring
         (x - 7)( x -1 )=0
           x= 7, x = 1
           middle: [7+1]/2 = 8/2 = 4
           g(4) = 4^2 -8(4) + 7 = 16 - 32 + 7 = -9
           Vertex = (4,-9)

Then the translation is right 4, down 9. This is the first option.

 
Leya [2.2K]2 years ago
8 0
The vertex form of the function:
g ( x ) = x² - 8 x + 7 = ( x² - 8 x + 16 ) - 16 + 7 =
= ( x - 4 )² - 9
Answer:
C )  right 4, down 9.
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A parallelogram has a 70 degree angle and sides 6 cm and 10 cm long. How long are its diagonals?
Verdich [7]
Let the shorter diagonal be x, then
x^2 = 6^2 + 10^2 - 2 x 6 x 10 x cos 70 = 36 + 100 - 120 cos 70 = 136 - 41.04 = 94.96
x = sqrt(94.96) = 9.7 cm

The other angle of the parallelogram is 1/2(360 - 2(70)) = 1/2(360 - 140) = 1/2(220) = 110
Let the longer diagonal be y, then
y^2 = 6^2 + 10^2 - 2 x 6 x 10 x cos 110 = 36 + 100 - 120 cos 110 = 136 + 41.04 = 177.04
y = sqrt(177.04) = 13.3 cm.

Therefore, the length of the diagonals are 9.7 cm and 13.3 cm.
6 0
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5 0
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Step-by-step explanation:

4 0
3 years ago
Whats the error?Jonah says a common denominator for 3/4 and 2/5 is 9.What is Jonahs error?
sammy [17]
In order to get the common denominator when adding fractions or subtracting fractions, you have to make sure  that the denominator of the two items are divisible by each other. In this case, 9 is not divisible by any of the given denominators which is 4 and 5. So in this case, the common denominator will have to be 20. 5 x 4 will equal to 20 and you will also multiply 3 x 5 to get the new numerator. After that, you will multiply 2 x 4 to get the new numerator of the other fraction. The new fractions will be 15/20 and 8/20. From there, you can add or subtract
6 0
3 years ago
Find g(4) and f(g(4)) <br> f(x)=x^2-x+1 <br> g(x)= 3x-5
Ira Lisetskai [31]

Answer:

g(4)  = 7 and f(g(4)) = 43

Step-by-step explanation:

First find g:

g(x) = 3x-5

g(x) = 3(4) - 5

g(x) = 12 - 5

g(x) = 7

Plug in:

f(g(4))

f(7)

Now, find f:

7^2 - 7 + 1

49 - 7 + 1

42 + 1

f(x) = 43

5 0
2 years ago
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