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
sdas [7]
2 years ago
9

If k(x) = x^2 and p(x) = k(x) + n, what is the value of n?

Mathematics
1 answer:
kodGreya [7K]2 years ago
8 0

Answer:

The value of n is -6

Step-by-step explanation:

  • If the function f(x) is translated k units up, then its image is g(x) = f(x) + k
  • If the function f(x) is translated k units down, then its image is g(x) = f(x) - k
  • The vertex form of the quadratic function is f(x) = a(x - h)² + k, where a is the coefficient of x² and (h, k) is the vertex

∵ k(x) = x²

→ Its graph is a parabola with vertex (0, 0)

∴ The vertex of the prabola which represents it is (0, 0)

∵ The given graph is the graph of p(x)

∵ Its vertex is (0, -6)

∴ h = 0 and k = -6

∵ a = 1

→ Substitute them in the form above

∴ p(x) = 1(x - 0)² + -6

∴ p(x) = x² - 6

→ Substitute x² by k(x)

∴ p(x) = k(x) - 6

∵ p(x) = k(x) + n

→ By comparing the two right sides

∴ n = -6

∴ The value of n is -6

Look at the attached figure for more understanding

The red parabola represents k(x)

The blue parabola represents p(x)

You might be interested in
Your neighbor has been saving to buy a dirt bike. He has found a dirt bike for $836, which is 88% of the total amount he has sav
Gre4nikov [31]

Answer:

$936.32

Step-by-step explanation:

To solve this problem we need to find the remaining 12% of money our neighbor has saved since 88% was $836. To do this, we simply multiply $836 by 12%. Remember to change 12% into its decimal form (12% -> 0.12).

$836 x 0.12 = $100.32

Now, our last step is to add $100.32 to $836.

$836 + $100.32 = $936.32

Our answer is $936.32.

7 0
3 years ago
What is the slope of the line?<br> y + 5 = 2(x + 1)
VikaD [51]

Answer:

The slope is 2

Step-by-step explanation:

Equation of line is y = mx + b

7 0
3 years ago
What is the percent of 45/100?
myrzilka [38]
45/100 is 4,500% 2/5 is 40% 18/40 is 45% 15/25 is 60%
5 0
3 years ago
A tree is 24.75 feet tall. What is its height in meters? Use the following conversion: 1 meter is 3.3
BabaBlast [244]

Answer:

7.5...................

.......

7 0
3 years ago
1. Mr. Hurst's house increased in value to $185,400 one year after he bought
katovenus [111]

Answer:

B.

Step-by-step explanation:

Mark me brainliest if correct plz. If incorrect, you can give me 1 star to let me know. Thank you!

8 0
3 years ago
Other questions:
  • Tell whether x and y show direct variation. Explain your reasoning. If so, find k. y+3=x+6
    8·1 answer
  • Simplify the expression: 2(–1 − 6s)
    9·1 answer
  • What scale factor was applied to the first rectangle to get the resulting image?
    10·1 answer
  • Help please i appreciate it
    9·1 answer
  • A town is having a block party and wants to set up a puppy adoption booth. They ask for 63 puppies. That’s 12% of the puppies at
    11·2 answers
  • I need help with this one
    12·1 answer
  • -6(x+4) what this answer simplified.
    8·2 answers
  • Solve for t.
    14·1 answer
  • Help please will give brainliest
    15·1 answer
  • Rita takes 3 h to type a report. What part of typing can she do in 2 h? in x h?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!