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
Assoli18 [71]
4 years ago
12

If you apply the changes below to the quadratic parent function, f(x)=x^2 which of these is the equation of the new function?

Mathematics
1 answer:
g100num [7]4 years ago
5 0

Answer:

A

Step-by-step explanation:

Given the parent function y = x², then

y = (x + a) represents a horizontal translation

• If a > 0 , then shift to the left of a units

• If a < 0, then shift to the right of a units

Thus a shift of 3 units left ⇒ y = (x + 3)²

------------------------------------------------------------

A vertical stretch of a units, stretches away from the x- axis

A vertical compression of a units, compresses towards the x- axis

• | a | > 1 is a stretch

• 0 < | a | < 1 is a compression

Thus a vertical stretch of 4 ⇒ y = 4(x + 3)²

--------------------------------------------------------------

A reflection in the x- axis, negates the y- coordinate

y = - 4(x + 3)² → A

You might be interested in
find the mean 164,175,178,166,167,145,176,150,174,162,180,156,173,158,182,184,160,172,186,168,195,169,171,187,170
shtirl [24]

Answer:

170.72

Step-by-step explanation:

Add up all data values to get the sum

Count the number of values in your data set

Divide the sum by the count

5 0
2 years ago
Read 2 more answers
The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increas
olga_2 [115]

Answer:

The population would be 781.

The population is growing with the rate of 12.50 persons/yr.

Step-by-step explanation:

Since, the formula for calculating the population, increasing with a rate per period,

A=P(1+r)^{n}

Where, P is the initial population,

r is the rate per period,

n is the number of period,

t is the total years,

Here, P = 500, r = 25 % = 0.25, n = 2 ( the number of '10 year period' of in 20 years is 2 )

Hence, the population in 20 years would be,

A=500(1+0.25)^2=500(1.25)^2=781.25\approx 781

Now, the rate of increasing per 10 year is 25 %,

⇒ The rate of increasing per year is 2.5 %,

Thus, the growing people per year = 2.5 % of 500 = 0.025 × 500 = 12.50

Hence, the population is growing at 12.50 person per year.

4 0
4 years ago
Find the area between 150 and 175 under a normal distribution curve with a mean of 120 and a standard deviation of 50.
polet [3.4K]

Answer:

6tdd

Step-by-step explanation:

ddaedt

3 0
3 years ago
Which of the following numerical expressions results in a negative number?
AleksAgata [21]
B because the other ones are just wrong because when you solve them, you get positive numbers
3 0
3 years ago
Solve the following:
nikklg [1K]

Answer:

3x(10x10x10): 3x(1000): 3000-7000: -4000. (8x(-5)): -40. (4x4) +(2x2): (16 +4): 20

7 0
2 years ago
Other questions:
  • trina uses 1/2 cup of sugar and 3/4 cup of flour in a recipe how many cups of sugar would she need if she uses 3 cups of flour
    12·2 answers
  • Simplify: (x^2+3x-4)+(2x^3 -2x+5)
    11·1 answer
  • HELP ASAP THANK YOU!!!!!!!!!!!!!!!!!
    10·1 answer
  • PLEASE HELP QUICK!!!! m ∠ 2 is 60°. m ∠4 is half of m ∠2. What is m ∠3?
    8·2 answers
  • Use equivalent ratios to complete each table?
    13·1 answer
  • Negative numbers have positive square roots.<br> O A. True<br> B. False
    12·2 answers
  • Evan had 120 baseball cards. He gave 18 of them to his friend and the rest to his brother. What percent of the baseball cards di
    15·1 answer
  • Given square JKLM with J(0, 0), K(4, 0), L(4, 4), and M(0, 4). Show that the diagonals of the square are perpendicular. Explain
    7·1 answer
  • W
    5·1 answer
  • Ez pts someebody help find the equation axis of symmetry of y=-2(x-3)^2 +4
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!