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kirza4 [7]
3 years ago
11

Which graph is an example of a function whose parent graph is of the form y = √x?

Mathematics
2 answers:
Maksim231197 [3]3 years ago
6 0

Answer:

The correct option is 1.

Step-by-step explanation:

The given parent function is

y=\sqrt{x}

1. Domain of the function is all positive real number including 0.

2. Range of the function is all positive real number including 0.

3. It is an increasing function. It increases at decreasing rate.

First graph increase at decreasing rate and it starts from (-4,-1), therefore the required function is

y=\sqrt{x+4}-1

Therefore graph 1 is an example of a function whose parent graph is of the form y = √x.

Second graph is a parabola, so it is the graph of a quadratic function.

Third graph is a rectangular hyperbola, so it is the graph of a rational functions.

Fourth graph is increasing at increasing rate, so it is the graph of an exponential function.

Therefore options 2, 3 and 4 are incorrect.

baherus [9]3 years ago
6 0

Answer:

The correct option is 1.

Step-by-step explanation:

The given parent function is

y=\sqrt{x}

It is a radical parent function. Portieres of this function are

1. Domain=[0,∞)

2. Range=[0,∞)

3. Graph of this function is a single continuous increasing curve.

4. It Increases at decreasing rate.

In first graph the a continuous curve starts from (-4,-1), and increasing at decreasing rate. So, it is represents the graph of a radical function.

y=\sqrt{x+4}-1

Therefore graph 1 is an example of a function whose parent graph is of the form y = √x.

Second graph is a U-shaped curve, so it is the graph of a quadratic function.

Third graph is a rectangular hyperbola, so it represents a rational functions.

In fourth graph the function increasing at increasing rate, so it represents an exponential function.

Therefore the correct option is 1.

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Debora [2.8K]
\bold{ANSWER:}
x = 55

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7 0
2 years ago
Rewrite the equation by completing the square.<br> x^2 + 2x – 48 = 0
slamgirl [31]

Answer:

(x+1)^2 = 49

x = 6                 x = -8

Step-by-step explanation:

x^2 + 2x – 48 = 0

Add 48 to each side

x^2 + 2x =48

Take the coefficient of x

2

Divide by 2

2/2=1

Square it

1^2 =1

x^2 + 2x +1=48+1

x^2 +2x+1 = 49

(x+1)^2 = 49

Take the square root of each side

sqrt((x+1)^2) =±sqrt( 49)

x+1 = ±7

Subtract 1 from each side

x+1-1 = -1  ±7

x = -1+7          x = -1 -7

x = 6                 x = -8

3 0
3 years ago
Given g of x equals cube root of the quantity x minus 3, on what interval is the function positive?
zmey [24]

The function is positive when x is larger than 3, then the interval in where the function is positive is: (3, ∞)

<h3>on what interval is the function positive?</h3>

The function is positive when g(x) > 0.

Then we need to solve:

∛(x - 3) > 0

We can directly remove the cubic root, because it does not affect the sign of the argument, then:

x - 3 > 0

x > 3

The function is positive when x is larger than 3, then the interval in where the function is positive is: (3, ∞)

If you want to learn more about functions:

brainly.com/question/2456547

#SPJ1

5 0
2 years ago
Read 2 more answers
Q1. If ∛5x+10=5, Find x
aleksandrvk [35]

Answer:

\sqrt[3]{5x+10}=5 / ^{3}\\  5x+10=125\\5x=115/:5\\x=23

If you mean that :\sqrt[3]{5x}+10=5 this is

\sqrt[3]{5x}+10=5 /^{3} \\5x+1000=125\\5x=-875/:5\\x=-175

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Higher order thinking. Write an addition and subtraction equation to match the problem then solve. Li have 14 crackers. Joe has
elena55 [62]

Answer:

8+x=14 x=6, 14-8=x x=6

Step-by-step explanation:

x is the answer and what you're solving. The two equations I wrote are the simplest.

                                                           :)

4 0
3 years ago
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