1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
fomenos
3 years ago
13

Please help if you can!

Mathematics
1 answer:
marin [14]3 years ago
6 0

9514 1404 393

Answer:

  y = 1/2x^2 +x -15/2

Step-by-step explanation:

The vertex is the point where the graph reaches is extreme: (-1, -8). The y-intercept is (0, -7.5). The x-intercepts are (-5, 0) and (3, 0).

When the quadratic is written in the form ...

  y = x^2 +bx +c

the value of b is the opposite of the sum of the x-intercepts. The value of c is their product. These facts would give ...

  y = x^2 -(-5 +3)x +(-5)(3) = x^2 +2x -15

The constant in this equation is -15, which is the value y has when x=0. Our actual y-intercept is half that, so the graph we see is this equation scaled by a factor of 1/2:

  y = 1/2x^2 +x -15/2

_____

<em>Alternate solution</em>

You can start with the vertex form.

  y = a(x -h)^2 +k . . . . . . . vertical scale factor 'a' and vertex (h, k)

On the graph, the vertical scale factor is the vertical difference between the low point (vertex) and the point that is 1 unit right or left. Here, that is ...

  -7.5 - (-8) = 0.5 = a

We've already said the vertex is (h, k) = (-1, -8), so the vertex form equation is ...

  y = 0.5(x +1)^2 -8

We know the square of a binomial is (a+b)^2 = a^2 +2ab +b^2, so we have ...

  y = 0.5(x^2 +2x +1) -8

  y = 0.5x^2 +x +0.5 -8 . . . . . eliminate parentheses

  y = 0.5x^2 +x -7.5

You might be interested in
Evaluate: -16 - w, when w = -23.
Rus_ich [418]
<span>-16 - w, when w = -23

-16 - (-43) = 27</span>
3 0
2 years ago
Read 2 more answers
What is the reason why the earth rotates
qaws [65]
The reason so many objects orbit the Sun in nearly the same plane (called the ecliptic) and in the same direction is that they all formed from this same disk.
While the planets were forming, there was not much peace in our solar system. Clumps of matter of all sizes often collided, and either stuck together or side-swiped each other, knocking off pieces and sending each other spinning. Sometimes the gravity of big objects would capture smaller ones in orbit. This could be one way the planets acquired their moons.
8 0
3 years ago
Briefly describe this graph of a Femis wheel.
son4ous [18]

Answer: This is a periodic relation.

Step-by-step explanation:

This is a periodic relation, that can be modeled with a sinusoidal relation, that relates the height as a function of time.

Then we can write this as h(t) = A*sin(C*t + F) + B

Where A is the amplitude, C is a constant that depends on the period, F is a phase shift, and B is the midpoint of the function.

2*A is the distance between the maximum height and the minimum height.

B is the middle height of the Femis Wheel.

8 0
3 years ago
−x − y = 1
Gemiola [76]
<span>The system of linear equations

−x − y = 1
y = x + 3

can be solved in various ways.  This problem hints that you should graph both lines and find the coordinates of their point of intersection.

But we can also solve this system using substitution.  Note that y = x + 3.  We can subst. x + 3 for y in the 1st equation, as follows:

-x - (x+3) = 1.  This simplifies to -x -x - 3 = 1, or -2x = 4, or x = -2.

Since y = x + 3, subbing -2 for x produces y:  y = -2 + 3 = 1

Thus, the solution is (-2, 1). </span>
5 0
3 years ago
Read 2 more answers
A cell with 2cm sides has what surface area?
Nat2105 [25]
A cell with 2cm sides has a surface area of 6 × a2 or <span> a</span>2<span> + a</span>2<span> + a</span>2<span> + a</span>2<span> + a</span>2<span> + a</span><span>2

</span>
8 0
3 years ago
Other questions:
  • The table and graph both represent
    12·1 answer
  • What’s the answer to this question?
    12·1 answer
  • A standard deck of 52 cards contain four suits clubs spades hearts and diamonds . Each deck contains and equal number of cards i
    10·1 answer
  • Determine the probability of three sunny days in a row when the probability of rain on each day is 20%
    12·1 answer
  • What is 10x+ 5y =30 in function form
    14·1 answer
  • Formulas can be manipulated to solve for missing information.
    10·1 answer
  • HELPPPP!! will mark brainliest
    5·1 answer
  • The relationship between the number of pounds (lb) of peanuts and the price
    15·1 answer
  • According to the Joy Cone Company, their waffle cones have a diameter of inches 2 3\8 and a height of 6 inches.
    11·1 answer
  • The stream frontage is 800 feet in length and the property line is 3900 feet in length
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!