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
stich3 [128]
3 years ago
5

Does anyone know the function of these graphs? please help and thank you. ​

Mathematics
1 answer:
marysya [2.9K]3 years ago
8 0

Answer:

Step-by-step explanation:

f(x) is an easy one.  Because it's a parabola, it's standard form is

y=ax^2+bx+c

But even simpler than that, look at a point on the graph, in particular, (2, 4).  If x = 2 and y = 4, we can square 2 to get 4, so the equation for that is the parent graph, y=x^2, plain and simple.

The next one requires a bit of doing.  Pick 3 points on the graph because we have 3 unknowns to find: a, b, and c.  The points that are easy to pick are (0, -2), (2, -4), (-2, -4).  Use the x and y coordinates from each one of those points to fill in the standard form of the parabola.  Because this parabola is "upside down" the leading coefficient is negative.  Start with the first coordinate first:

(0, -2)-->-2=-a(0)^2+b(0)+c which gives us that c = -2.  That's good...one down, 2 to go.

Next we will use the remaining 2 points to create a system of equations that we can solve simultaneously for a and b.  Using the second coordinate pair (2, -4):

-4=-a(2)^2+b(2)-2 gives us the simplified equation:

***-2 = -4a + 2b***

I put the stars in front and behind because we will need to come back to that one in a minute.

Using the last coordinate pair (-2, -4):

-4=-a(-2)^2-b(2)-2 simplifies down to:

***-2 = -4a - 2b***

Now put these together and solve the system by elimination, and you see that 2b and the -2b cancel each other out, leaving you with -4 = -8a, so a = 1/2.  Now we know a:  1/2 and c:  -2 and we can find b:

If -2 = -4a + 2b, then -2 = -4(1/2) + 2b, and b = 0.  That means that the equation for the upside down parabola is

y=-\frac{1}{2}x^2-2

You might be interested in
Independent Practice
tangare [24]

Answer:

Option D

Step-by-step explanation:

There are no real solution for the given equation

Answered by GAUTHMATH

8 0
2 years ago
Please Help I will give out brainliest
gizmo_the_mogwai [7]

Answer:

when y=1 then x=0.5

Step-by-step explanation:

The graph is provided.

The equation y=4x-1 can be graphed by first graphing the -1 which is the y-intercept in the y=mx+b form. 4=m that is our slope. you can find the lines second point by moving 4 up and 1 to the right. rise/run =4/1. So when you move 4 up and 1 right you get another point on the line (1,3).

You can find out x=0.5 when y=1 by just tracing your finger over the graph and the point when y equals 1 the line intercepts x=0.5. Another screenshot is given.

I hope this helps!

8 0
3 years ago
A pole 3 m high has a shadow 5 m long when the shadow of a nearby building is 110 m long. How tall is the building? 50 m 66 m 73
Reika [66]

The correct answer is 66 M tall

5 0
2 years ago
Solve for x assume that lines wich appear to be tangent are tangent, please HELPP don't do it just for points please I really ne
snow_tiger [21]

Answer:

Hope It Help

Step-by-step explanation:

Brainliest Please

3 0
2 years ago
Read 2 more answers
The employees of a firm that manufactures insulation are being tested for indications of asbestos in their lungs. The firm is re
diamong [38]

Answer:

0.070

Step-by-step explanation:

Y = number on trial

Y has a negative binomial distribution

r = 3

P = 30% = 0.3 probability of positive indication.

P(Y = 11) probability of 11 employees that must be tested to get 3 positives

Y-1Cr-1*p^r*q^(y-r)

Y-1 = 11-1 = 10

r-1 = 3 -1 = 2

10C2 x 0.3³x0.7⁸

45x0.027x0.05764801

= 0.070

This is the probability that 11 employees must be tested to get 3 positives.

8 0
2 years ago
Other questions:
  • If D varies directly with t and D is 105 when t is 3, find D when t is 8.<br><br> 35<br> 280<br> 840
    12·2 answers
  • Translate the phrase into a math expression 12 less than twice a number
    15·1 answer
  • Solve the system by substitution <br><br> -x-y-z= -8<br><br> -4x+4y+5z= 7<br><br> 2x+2z= 4
    8·2 answers
  • Need help solving for Y
    12·2 answers
  • What is the equation for this trig function?
    9·1 answer
  • 7+8/5-2 work it out in BIDMAS
    7·1 answer
  • Quadrilateral ABCD has vertices A(–1, –2), B(–1, 3), C(4, 3) and D(4, –2). It's dilated by a factor of 2 with the center of dila
    6·1 answer
  • If √2 = 1.414, then the value of 1/2 √16200.<br>please friends koi to solve kar do.​
    7·1 answer
  • Please help!! Thank you!!!!
    9·2 answers
  • Expand 2x(8x+5)<br> This is something required for me to learn and I havent got a clue
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!