answer.
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
taurus [48]
2 years ago
10

On a coordinate plane, a parabola opens up. It starts in quadrant 1, crosses the x axis where the vertex is in quadrant 4, and c

rosses the x-axis back into quadrant 1. Which function could be represented by the graph on the coordinate plane? f(x) = (x – 8)2 + 6 f(x) = (x + 8)2 + 6 f(x) = (x + 8)2 – 6 f(x) = (x – 8)2 – 6
Mathematics
2 answers:
sp2606 [1]2 years ago
8 0

Answer:

The answer for this question is <u>f(x) = (x - 8)2-6</u>.

andrew-mc [135]2 years ago
6 0
F(x) = (x - 8)2-6

if you simplify the equation you’re left with f(x) = (x - 8) - 4. there are two transformations that can be derived from this equation: translate horizontally right 8 and translate vertically down 4. because the parabola starts in quadrant 1, the parabola needs to be translated right opposed to left to match this. since the parabola’s vertex is in the negative quadrant 4, the function needs to be moved down which matches the second vertical translation the equation gives us.
You might be interested in
a driver travels 2 hours at 60 miles per hour ,during which her car gets 30 miles per gallon of gasoline.she is paid $0.50 per m
Sever21 [200]

Answer:

Her net rate of pay in dollars per hour after the expense = $26

Step-by-step explanation:

Given:

Driver travels for 2 hours.

Speed = 60 miles per hour

Her  car runs at the rate of 30 miles per gallon of gasoline.

She is paid $0.50 per mile.

Expenses is price of gasoline at the rate of $2.00 per gallon.

To find her net rate of pay in dollars  per hour.

Solution:

In one hour the driver travels = 60 miles

For each mile she is paid = $0.50

<em>So, for 60 miles she will be paid = </em>60\times \$0.50 = \$30<em />

<em />

In a gallon of gasoline the car travels = 30 miles

<em>So, to travel 60 miles, the car would require = </em>\frac{60}{30}= 2<em> gallons of gasoline</em>

1 gallon of gasoline cost = $2.00

<em>Expenses for 2 gallons of gasoline = </em>2\times \$2.00=\$4<em />

<em />

So, in one hour she gets paid =$30 and her expenses for an hour drive = $4.

Thus, her net rate of pay in dollars per hour after the expense = \$30-\$4=\$26

8 0
2 years ago
The table shows the profits (y) in millions of dollars for Buffalo Wild Wings for each year (x) from 2007 through 2013, where x=
user100 [1]

a) See attached diagram.

b) The slope can be obtained by the formula:

m_i=\dfrac{y_{i+1}-y_i}{x_{i+1}-x_i}.

Now

  • m_1=\dfrac{24.4-19.7}{8-7}=4.7;
  • m_2=\dfrac{30.7-24.4}{9-8}=6.3;
  • m_3=\dfrac{38.4-30.7}{10-9}=7.7;
  • m_4=\dfrac{50.4-38.4}{11-10}=12;
  • m_5=\dfrac{57.3-50.4}{12-11}=6.9;
  • m_6=\dfrac{71.6-57.3}{13-12}=14.3;

The greatest increases were from 2012 till 2013 years and the least increases were from 2007 till 2008 years.

c) Using graphing calculator, the equation of the line (black line in the diagram) is

y\approx 0.71x^2-5.58x+23.76.

d) Since the slopes are different, this line is not straight. From the given data you can predict that the "best fit" is quadratic function.

e) In 2017, find

y(17)\approx 0.71\cdot 17^2-5.58\cdot 17+23.76\approx 134.09

6 0
2 years ago
To find the number in a square multiply the numbers in the two circles connected to it brainly
max2010maxim [7]

Answer:

the answers is in the pic

6 0
2 years ago
kevin draws a figure that has four sides all sides have the same length . his figure has no right angles . what figure does kevi
Oksanka [162]
A diamond because there are no right angles, and there are all the same length
6 0
3 years ago
Read 2 more answers
What is the domain of validity for csctheta =start fraction 1 over sine theta end fraction? (1 point) all real numbers all real
dem82 [27]
We know the following relationship:

csc(\theta)=\frac{1}{sin(\theta)}

The domain of a function are the inputs of the function, that is, a function f is a relation that assigns to each element x in the set A exactly one element in the set B. The set A is the domain (or set of inputs) of the function and the set B contains the range (or set of outputs).Then applying this concept to our function csc(\theta) we can write its domain as follows:

1. D<span>omain of validity for csc(\theta):
</span>
D: \{\theta \in R/ sin(\theta) \neq 0 \} \\ In words: All \ \theta \ that \ are \ real \ values \ except \ those \ that \ makes \ sin(\theta)=0 
 
When:

sin(\theta)=0?

when:

\theta=..., -2\pi,-\pi,0,\pi,\2pi,3pi,...,k\pi

where k is an integer either positive or negative. That is:

sin(k\theta)=0 \ for \ k=...,-2,-1,0,1,2,3,...

To match this with the choices above, the answer is:

<span>"All real numbers except multiples of \pi"

</span>
2. which identity is not used in the proof of the identity 1+cot^{2}(\theta)=csc^{2}(\theta):

This identity can proved as follows:

sin^2{\theta}+cos^{2}(\theta)=1 \ Dividing \ by \ sin^{2}(\theta) \\ \\ \therefore \frac{sin^2{\theta}}{sin^{2}(\theta)}+\frac{cos^{2}(\theta)}{sin^{2}(\theta)}=\frac{1}{sin^{2}(\theta)} \\ \\ \therefore 1+cot^{2}(\theta)=csc^{2}(\theta)

The identity that is not used is as established in the statement above:

<span>"1 +cos squared theta over sin squared theta= csc2theta"

Written in mathematical language as follows:

</span>\frac{1+cos^{2}(\theta)}{sin^{2}(\theta)}=csc^{2}(\theta)<span>


</span>
4 0
2 years ago
Read 2 more answers
Other questions:
  • Austin's truck has a mass of 2000 kg when traveling at 22.0 m/s, it brakes to a stop in 4.0 s. show that the magnitude of the br
    10·2 answers
  • Write the polynomial in standard form. –9x + x3 – x4 + 3
    10·1 answer
  • The water pressure on Mustafa as he dives is increasing at a rate of 0.992 atmospheres (atm) per meter (m)
    6·2 answers
  • All of the following expressions are equivalent to 12w + 6, except:
    11·2 answers
  • A video game randomly chooses your car color and type. The probability of getting a red car is 0.20, and the probability of gett
    10·1 answer
  • A white-tailed deer can sprint at speeds up to 30 miles per hour. American bison can run at speeds up to 3,520 feet per minute.
    13·2 answers
  • Consider the diagram. Parallel lines r and s are cut by transversal q. On line r where it intersects line q, 4 angles are create
    8·2 answers
  • What is the diameter of the base of the cone below, to the nearest foot, if the volume is 314 cubic feet? Use π = 3.14.
    14·1 answer
  • You are in a bike race. When you get to the first checkpoint, you are 25 of the distance to the second checkpoint. When you get
    9·1 answer
  • ryan deposits $775 in an account that pays 1.24% simple interest for four years. Brian deposits $775 in an account thats 1.24% s
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!