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Sedbober [7]
3 years ago
9

The graphs below have the same shape. What is the equation of the red graph?

Mathematics
2 answers:
Sveta_85 [38]3 years ago
8 0

we have

g(x)=4-x^{2}

the vertex of the function g(x) is the point (0,4)

the vertex of the function f(x) is the point (0,0)

so

the rule of the translation of g(x) to f(x) is

(x,y)------> (x,y-4)

that means

the translation is 4 units down

therefore

the equation of the function f(x) is

f(x)=g(x)-4\\f(x)=(4- x^{2})-4 \\f(x)=- x^{2}

therefore

<u>the answer is</u>

f(x)=- x^{2}

Natasha2012 [34]3 years ago
4 0

g(x)=-x^2 is right for apex

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What is the f(n) runtime of the following pseudocode: sum = 0 for A = N/2 downto 1 for B = 1 to 4N increment sum by B
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Solve the inequality t/4 &gt;7<br> And 2c/3 +1&gt;7
Maru [420]

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Step-by-step explanation:tep  1  :

           c

Simplify   —

           3

Equation at the end of step  1  :

       c            

 ((2 • —) -  1) -  7  > 0  

       3            

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  3  as the denominator :

        1     1 • 3

   1 =  —  =  —————

        1       3  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2c - (3)     2c - 3

————————  =  ——————

   3           3    

Equation at the end of step  2  :

 (2c - 3)    

 ———————— -  7  > 0  

    3        

Step  3  :

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  3  as the denominator :

        7     7 • 3

   7 =  —  =  —————

        1       3  

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

(2c-3) - (7 • 3)     2c - 24

————————————————  =  ———————

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Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  2c - 24  =   2 • (c - 12)  

Equation at the end of step  4  :

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      3      

Step  5  :

5.1    Multiply both sides by  3  

5.2    Divide both sides by  2  

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Inequality Plot :

5.4      Inequality plot for

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One solution was found :

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3 0
3 years ago
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