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
MariettaO [177]
3 years ago
11

How is the graph of y =(x-1)2 - 3 transformed to produce the graph of y = 5(X+4)??

Mathematics
1 answer:
lina2011 [118]3 years ago
6 0

Answer:

<h2>The graph is translated left 5 units, compressed vertically by a factor of 5, and translated up 3 units.</h2>

Step-by-step explanation:

The initial function is

y=(x-1)^{2} -3

The transformed function is

y=5(x+4)^{2}

Notice that the first function represents a parabola with vertex at (1, -3), and the secong function represents a parabola with vertex at (-4, 0). That means the function was shifted three units up and 5 units to the left. Additionally, the function was compressed by a scale factor of 5, because that's the coffecient of the quadratic term.

Therefore, the right answer is the first choice.

You might be interested in
Jasmine is in a bicycle race. She has already biked 10 miles and is now biking at a rate of 18 miles per hour. Write and equatio
Dafna1 [17]

Answer:

y = 18x + 10

slope = 18

y-intercept = 10

Step-by-step explanation:

The situation given in the problem is linear and can be represented using slope-intercept form of a linear equation: y = mx + b, where 'm' is equal to the slope, 'b' is equal to the y-intercept, 'x' is the number of hours and 'y' is the total number of miles.  

Given that Jasmine has already biked 10 miles, her initial value, or y-intercept would be 10.  Since she is now biking at a rate of 18 miles per hour, her rate of change, or slope, would be 18.  

Using these values for 'm' and 'b': y = 18x + 10

6 0
4 years ago
A2 = -8 and a5 = -512<br> Find a10
yawa3891 [41]

Answer:

The value of a₁₀ is -1352

Step-by-step explanation:

a₂ = -8

a₅ = -512

Now,

a₂ = -8 can be written as

a + d = -8 ...(1) and

a₅ = -512 can be written as

a + 4d = -512 ...(2)

Now, from equation (2) we get,

a + 4d = - 512

a + d + 3d = - 512

(-8) + 3d = - 512 (.°. <u>a + d = </u><u>-8</u><u>)</u>

3d = - 512 + 8

3d = - 504

d = - 504 ÷ 3

d = - 168

Now, for the value of a put the value of d = -168 in equation (1)

a + d = -8

a + (-168) = -8

a - 168 = -8

a = 168 - 8

a = 160

Now, For a₁₀

a₁₀ = a + 9d

a₁₀ = 160 + 9(-168)

a₁₀ = 160 - 1512

a₁₀ = -1352

Thus, The value of a₁₀ is -1352

<u>-TheUnknownScientist</u>

8 0
3 years ago
Slope of this question please and thank you!!!!! :)))))))))))
fiasKO [112]

Answer:

the slope is 1

Step-by-step explanation:

hope this helps :)

4 0
3 years ago
Caitlin buys some apples and some oranges. She buys twice as many apples as oranges. Each apple costs £0.25 Each orange costs £0
Vitek1552 [10]

Answer:

14

Step-by-step explanation:

Caitlin buys twice as many apples as oranges.

2a=o

Apples cost 0.25 and Oranges cost 0.30, we have a maximum of 5 to spend.

5-2a(0.30)-0.25a=0

5=2a(0.30)-0.25a\\5=0.6a-0.25a\\5=0.35a\\a=14

3 0
3 years ago
Find the area of this composite figure use 3.14 for pi
Vesna [10]

Answer:

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • BRAINLIEST ANSWER<br> Solve for x. 9(x + 1) = 25 + x x = 2 x = 3 x = 4 x = 54
    10·2 answers
  • Solve the system of equations algebraically. Show all of your steps. <br> y=x^2+2x<br> y=3x+20
    12·1 answer
  • Simplify.<br> 3n² + 3(3m³ + 3n³)<br><br> Thanks so much!!
    6·2 answers
  • What is the answer for x
    11·1 answer
  • In a pizza takeout restaurant, the following probability distribution was obtained for the number of toppings ordered on a large
    5·1 answer
  • A zookeeper divided 3,570 pounds of food equally among 7 elephants.
    7·1 answer
  • Help plz:)))I’ll mark u Brainliest
    8·1 answer
  • The measure of an angle is 137.4°. What is the measure of its supplementary angle?
    9·1 answer
  • Pls give me the right answer
    8·1 answer
  • Charlie's flower bed has a length of 4 feet and a width of four sixths feet. Which of the following is true
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!