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3 years ago

What is the equation of this graph

Mathematics

1 answer:

Soloha48 [4]3 years ago

5 0

Answer:

Step-by-step explanation:

hello :

an equation of this graph is : f(x) = a(x-h)²+k when (h,k) the vertex

so : h=5 and k= -4

f(x) = a(x-5)²-4....... now calculate : a

the y- intercept is : - 6.5 means : f(0) = - 6.5

put x=0 and f(x) = - 6.5

you have : -6.5 = a(0-5)²-4

-6.5 = 25a - 4

25a = -2.5 so : a= -2.5/25= 1/10

the equation is :

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Find the domain and range of the graph

ozzi

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Answer:

domain: [-6, -1)
range: [-5, 4]

Step-by-step explanation:

You have correctly determined the domain to be from x = -6 to x < -1. In interval notation, that would be ...

[-6, -1)

The range is the vertical extent of the graph. It extends from a minimum of y = -5 to a maximum of y = +4 at the top of the curve. In interval notation, that would be ...

[-5, 4]

8 0

2 years ago

I need with explanation

Vitek1552 [10]

Which of the following (1, 16, 27, 81) is not a square number?

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2 years ago

Galileo wanted to release a wooden ball and an iron ball from a height of 100 meters and measure the duration of their fall. He

kotegsom [21]

Answer:

He would need to climb 480.97 m

Explanation:

The ground, the plane to climb and the altitude (100 m) all form a right-angled triangle

Therefore, we can apply the special trig functions.

These functions are as follows:

sin(θ) = $\frac{opposite}{hypotenuse}$

cos(θ) = $\frac{adjacent}{hypotenuse}$

tan(θ) = $\frac{opposite}{adjacent}$

From the diagram, we have:

θ = 12°

The distance that he needs to climb is the hypotenuse

The altitude = 100 m is the opposite

Therefore, we can use the sin function as follows:

sin(12°) = $\frac{100}{hypotenuse}$

hypotenuse = $\frac{100}{sin(12)}$

hypotenuse = 480.97 meters to the nearest hundredth

Therefore, he would need to climb 480.97 meters

Hope this helps :)

5 0

3 years ago

Read 2 more answers

If you shift the linear parent function, f(x) = x, up 6 units, what is the equation of the new function?

Annette [7]

To solve this problem you must apply the proccedure shown below:

1. You have the following parent function given in the problem above: $f(x)=x$

2. If you want to shift this parent function up six units, you only have the add a $6$ , then, you will obtain the following new function:

$g(x)=x+6$

Therefore, as you can see, the answer is: $g(x)=x+6$

5 0

3 years ago

The student council orders 12 sandwhiches for the school dance. each sandwich is 6 feet long cut into sections that are 4 inches

Setler [38]

The school council will have 216 small sandwiches.

Step-by-step explanation:

Sandwiches ordered = 12

Length of one sandwich = 6 feet

1 foot = 12 inch

6 feet = 12*6 = 72 inches

Length of one sandwich in inches = 72 inches

As one small sandwich is 4 inches,

Number of small sandwiches in one sandwich = $\frac{72}{4}=18$

One sandwich = 18 small sandwiches

12 sandwiches = 18*12 = 216 small sandwiches

The school council will have 216 small sandwiches.

Keywords: multiplication, division

Learn more about multiplication at:

#LearnwithBrainly

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3 years ago