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LUCKY_DIMON [66]

2 years ago

9

Which of the following equations describes the graph?

1 answer:

Strike441 [17]2 years ago

5 0

Answer:

y = -2(x - .5)^2 - 2.5

Step-by-step explanation:

You first want to find the vertex of the parabola, which is found at (.5, -2.5)

You then want to add this to the function "y = x"

y = (x - .5) - 2.5

You would then notice this would need to be a quadratic formula, so you would add the squared to the equation, and make the leading coefficient negative because it is facing downwards.

y = -(x - .5)^2 - 2.5

Finally, you would notice that the graph has a y-intercept of -3. You can Vertically stretch the equation y a factor of 2 to finish the graph.

y = -2(x - .5)^2 - 2.5

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The radius of Earth's orbit is approximately 15,000,000,000 meters. The radius of Mercury's orbit is 5.8 × 109 meters. What is t

Ilya [14]

15,000,000,000 = 15 × 10⁹

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Answer: C. 9.2 × 10⁹ m

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3 years ago

What is the solution to the equation shown below

sattari [20]

$y=\dfrac{3}{x-2}+6\\\\Draw:\ y=\dfrac{3}{x}\\\\shift\ 2\ units\ right\ and\ 6\ units\ up.$

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<span>The answer is the first coordinate of the intersection point of the graphs:</span>
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3 0

3 years ago

Read 2 more answers

I needhelp please :(

Karo-lina-s [1.5K]

Answer:

1/8

Step-by-step explanation:

-5/8+3/4 =( -20+24)/32 = 4/32

4/32= 1/8

4 0

2 years ago

Please please help <br><br> Given the function f(x)=1/3x*2-3x+5 determine the inverse relation

yuradex [85]

The inverse relation of the function f(x)=1/3x*2-3x+5 is f-1(x) = 9/2 + √(3x + 21/4)

<h3>How to determine the inverse relation?</h3>

The function is given as

f(x)=1/3x^2-3x+5

Start by rewriting the function in vertex form

f(x) = 1/3(x - 9/2)^2 -7/4

Rewrite the function as

y = 1/3(x - 9/2)^2 -7/4

Swap x and y

x = 1/3(y - 9/2)^2 -7/4

Add 7/4 to both sides

x + 7/4= 1/3(y - 9/2)^2

Multiply by 3

3x + 21/4= (y - 9/2)^2

Take the square roots

y - 9/2 = √(3x + 21/4)

This gives

y = 9/2 + √(3x + 21/4)

Hence, the inverse relation of the function f(x)=1/3x*2-3x+5 is f-1(x) = 9/2 + √(3x + 21/4)

Read more about inverse functions at:

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5 0

1 year ago

PLEASE HELP 30 POINTS Wendell is looking over some data regarding the strength, measured in Pascals (Pa), of some building mater

jarptica [38.1K]

Logarithmic functions and exponential functions are inverse and opposite of one another

The logarithmic function is $y = \log_2(x)$ , and the length at 8 pascals is 3 units

<h3>How to determine the logarithmic function</h3>

The exponential function is given as:

$f(x) = 2^x$

Express f(x) as y

$y = 2^x$

Swap the positions of x and y

$x = 2^y$

Take the logarithm of both sides

$\log(x) = \log(2^y)$

Apply the rule of logarithm

$\log(x) = y\log(2)$

Divide both sides by log(2)

$y = \frac{\log(x)}{\log(2)}$

Apply the change of base rule of logarithm

$y = \log_2(x)$

When the strength is 8 pascals, we have:

$y = \log_2(8)$

Express 8 as 2^3

$y = \log_2(2^3)$

So, we have:

$y =3 \log_2(2)$

Evaluate log 2 base 2

$y =3$

Hence, the logarithmic function is $y = \log_2(x)$ , and the length at 8 pascals is 3 units

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1 year ago