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Mkey [24]
3 years ago
12

The graphs below have the same shape. What is the equation of the blue

Mathematics
2 answers:
cluponka [151]3 years ago
7 0

Answer: The correct option is B.

Explanation:

From the given figure it is noticed that the parent function is,

f(x)=x^2

The graph of f(x) shifts 5 units right.

The transformation is defined as,

g(x)=f(x+a)+b

Where, a shows the horizontal shifts and b shows the vertical shift.

If a<0 then the graph of f(x) shifts right side by a units and if a>0 then the graph of f(x) shifts left side by a units.

If b<0 then the graph of f(x) shifts downward by b units and if b>0 then the graph of f(x) shifts upward by b units.

Since the graph of parent function is shifts only right side by 5 units, therefore

g(x)=f(x-5)+0

Since f(x)=x^2

g(x)=(x+5)^2

Thus, the correct option is B.

The function in option A represents the left shift of f(x) by 5 units.  The option C represents the downward shift of f(x) by 5 units. The option D represents the upward shift of f(x) by 5 units.

frutty [35]3 years ago
4 0
Using a graph tool
see the attache figure

the answer is the option B
g(x)=(x-5)²

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4 0
3 years ago
Create a circle with a centre of (0,0) and a radius of 13
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Answer:

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In the attachment!!!

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Find the rational zeros of the polynomial function, f(x)= 4x^3-8x^2-19x-7
Dima020 [189]

Answer:

The rational zero of the polynomial are \pm \frac{7}{4}, \pm \frac{1}{4},\pm \frac{7}{2},\pm \frac{1}{2},\pm 7,\pm 1  .  

Step-by-step explanation:

Given polynomial as :

f(x) = 4 x³ - 8 x² - 19 x - 7

Now the ration zero can be find as

\dfrac{\textrm factor of P}{\textrm factor Q} ,

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And Q is the coefficient of the highest polynomial

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Or, The rational zero are \pm \frac{7}{4}, \pm \frac{1}{4},\pm \frac{7}{2},\pm \frac{1}{2},\pm 7,\pm 1

Hence The rational zero of the polynomial are \pm \frac{7}{4}, \pm \frac{1}{4},\pm \frac{7}{2},\pm \frac{1}{2},\pm 7,\pm 1  .  Answer

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Answer:

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Step-by-step explanation:

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