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
liubo4ka [24]
4 years ago
8

the graph below has the same shape as the graph g(x)=x^2 but it is shifted down 3 units and to the left 2 units what is this equ

ation

Mathematics
1 answer:
sukhopar [10]4 years ago
3 0

Answer:

Option (C)

Step-by-step explanation:

Parent function g(x) = x² [Vertex at the origin (0, 0)]

When this function is shifted 3 units down,

Rule to be followed,

g(x) → g(x) - 3

So, g'(x) = x² - 3

Followed by 2 units shift to the left,

Rule to be followed,

g'(x) → g'(x + 2)

F(x) = (x + 2)² - 3

Therefore, Option (C) will be the answer.

You might be interested in
Please help, due tomorrow and im so confuseddd. ​
andreyandreev [35.5K]

Answer:

HCF=12

Step-by-step explanation:

        60

     2      30                        60/2=30            60= 2×2×3×5

           2      15                    30/15=2

                  3   5               15/3=5                

              96

         8         12                96/8=12               96= 2×2×2×2×2×3

      2   4       2    6          12/6=2

          2   2         2   3        6/3=2

HCF= 12

We can see that there are two 2s and one 3 in common between 60 and 96 so we times the two 2s and 3 to get 12

6 0
3 years ago
Lois made a dish with 6 1/3 cups of pasta. One serving of the pasta is 0.4 cups. How many servings of pasta were in the dish Loi
tatyana61 [14]

namely, how many times does 0.4 go into 6⅓?   or 6⅓ ÷ 0.4.

first off, let's convert the mixed fraction to improper, and the decimal to a fraction .  We can always convert the decimal to a fraction by simply <u>adding as many zeros on the denominator as there are decimals and lose the dot atop</u>, let's do so.


\bf 0.\underline{4}\implies \cfrac{04}{1\underline{0}}\implies \cfrac{4}{10}\implies \cfrac{2}{5}~\hfill \stackrel{mixed}{6\frac{1}{3}}\implies \cfrac{6\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{19}{3}}&#10;\\\\[-0.35em]&#10;\rule{34em}{0.25pt}\\\\&#10;\stackrel{\textit{How many servings of pasta were in the dish?}}{6\frac{1}{3}\div 0.4\implies \cfrac{19}{3}\div \cfrac{2}{5}}\implies \cfrac{19}{3}\cdot \cfrac{5}{2}\implies \cfrac{95}{6}\implies 15\frac{5}{6}

6 0
4 years ago
Read 2 more answers
Question 4
astraxan [27]

Answer:

No real roots

Step-by-step explanation:

The given equations are:

3x-1+2y=0

3x^2-y^2+4=0

We make y the subject in the first equation to get

y=\frac{1-3x}{2}

We substitute into the second expression to get:

3x^2-(\frac{1-3x}{2})^2+4=0

We expand to get:

3x^2-\frac{(1-6x+9x^2)}{4}+4=0

Multiply through by 4 to get:

12x^2-1+6x-9x^2+16=0

3x^2+6x+15=0

The discriminant is given by D=b^2-4ac

D=3^2-4*12*15

D=-711

Since the discriminant is less than zero, the two curves never intersects.

Therefore the system has no real roots

6 0
4 years ago
What is the difference in temperature between 30 degrees Celsius and -18 degrees Celsius?
alexira [117]

Answer:

48

Step-by-step explanation:

30-(-18)=48

6 0
3 years ago
Read 2 more answers
If two lines are parallel the lines must they lie on the same plane
ale4655 [162]
Yes, because if you would draw 2 parallel lines in 3D space, a plane would exist between those two lines.
Hope this helps :)
5 0
3 years ago
Other questions:
  • Laura's family is going on a vacation. They will drive 4,180 miles over the next two weeks miles will they drive on average each
    15·1 answer
  • if the variance of the data values in a population is 256, what is the standard deviation of the data values?
    11·1 answer
  • Lopez spent 1/3 of his vacation money for travel in 2/5 of his vacation money for lodging.He spent $1,100 for travel and lodging
    15·1 answer
  • Cat and mouse had 16 apples in both purses how much do they have in total ?
    9·2 answers
  • Solve using the area model. Check your answer with multiplication. 286 : 22​
    6·1 answer
  • 4/5 of my cake is frosted. My cat licked off 1/7 of the frosting. How much of my frosting is left?
    11·1 answer
  • Can anyone help me out with this please​
    13·2 answers
  • What is the value of x?
    5·1 answer
  • 1 3/4 + 1/6 + ? = 7 1/2 ​
    5·1 answer
  • Which statement most likely describes the formation of dunite?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!