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elena55 [62]
3 years ago
13

Which equation could generate the curve in the graph below

Mathematics
1 answer:
Setler79 [48]3 years ago
3 0
The curve has been attached and the answer choices are:

y = 3x² – 2x + 1

y = 3x² – 6x + 3

y = 3x²<span> – 7x + 1
</span>
The attached graph has a vertex in the first quadrant. Therefore, the coordinates of the vertex would be both positive.

Let's start with first equation:

                                               y = 3x² – 2x + 1

using the equation of axis:
                                            x = -b/2a
                                            x = 2/6
                                            x = 1/3
SUbstituting the value of x in the main equation to get the y-coordinate of the vertex.
                                               y = 3(1/3)² – 2(1/3) + 1
                                               y = 3/9 – 2/3 + 1
                                               y = 1/3 – 2/3 + 1
                                               y = (1 - 2 + 3)/3
                                               y = 2/3

Hence, the vertex would be:
                                             (h,k) = (1/3 , 2/3)

Also, the leading coefficient is positive, so the parabola would be concave up.

Thus the final answer choice will be:

                                             y = 3x² – 2x + 1

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Can someone please help me on this question?
Olin [163]
The ends of the graph will extend in opposite directions.

Hope this helped!
6 0
3 years ago
At a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 11 m. T
elixir [45]

Answer:

\text{Exact area of the sidewalk}=40 \pi\text{ m}^2

\text{Approximate area of the sidewalk}=125.6\text{ m}^2

Step-by-step explanation:

We have been given that at a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 11 m. The inner edge of the sidewalk is a circle with a radius of 9 m.

To find the area of the side walk we will subtract the area of inner edge of the side walk of lion pen from the area of the outer edge of the lion pen.

\text{Area of circle}=\pi r^2, where r represents radius of the circle.

\text{Exact area of the sidewalk}=\pi*\text{(11 m)}^2-\pi*\text{(9 m)}^2

\text{Exact area of the sidewalk}=\pi*\text{121 m}^2-\pi*\text{81 m}^2

\text{Exact area of the sidewalk}=40 \pi\text{ m}^2

Therefore, the exact area of the side walk is 40 \pi\text{ m}^2

To find the approximate area of side walk let us substitute pi equals 3.14.

\text{Approximate area of the sidewalk}=40*3.14\text{ m}^2

\text{Approximate area of the sidewalk}=125.6\text{ m}^2

Therefore, the approximate area of the side walk is 125.6\text{ m}^2.

5 0
3 years ago
F(2)=-7<br> f(x) = f(x-1) + 1
m_a_m_a [10]

Answer:

F930

Step-by-step explanation:

You guys suck so much ohhhhhhhhhhhhhhhhhhhhh

3 0
2 years ago
12 girls in a class of 15 girls have short hair and the rest have long hair . What percent of the girls has long hair ?​
kati45 [8]

Step-by-step explanation:

long hair

15 - 12 = 3

long hair percentage

= 3 ÷ 15 × 100

= 20%

4 0
3 years ago
Bob's age is 4 times greater than Susanne's age. Dakota is three years younger than Susanne. The sum of Bob's, Susanne's, and Da
belka [17]
Susanne is 16 years old.

b = Bob's age

s = Susanne's age

d = Dakota's age

Bob's age is 4 times greater than Susanne's age:

b = 4s

Dakota is three years younger than Susanne:

d = s - 3

The sum of Bob's, Susanne's, and Dakota's ages is 93:

b + s + d = 93


 solve these equations:

b = 4s

d = s - 3

b + s + d = 93


and get:

b = 64 years

s = 16 years

(remember that s = Susanne) 

d = 13 years
5 0
3 years ago
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