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
Butoxors [25]
3 years ago
12

describe the transformations that occur from the parent function f(x) =x^2 to the function g(x)=2(x+1)^2-7

Mathematics
1 answer:
irinina [24]3 years ago
5 0

translate 7 units down. One to the left. The quadratic function stretches vertically by a factor of 2.

Step-by-step explanation:

There are many factors that play transformations in quadratic functions.

Let me give you some rules to help you with transformations.

We know that the standard form for a quad function is y= ax^2+bx+c.

We can write that in vertex form.

The formula is y=a(x-h)^2+k.

a, h, and k can contribute to factors on the graph.

Let's start with a.

When a is greater than 1, the graph stretches vertically, or it is just a stretch.

If a is less than 1 but greater than 0, the graph shrinks or compresses.

A also determines if you have a maximum or minimum as well as if the graph opens up or down.

With h, that plays a role with the horizontal translation.

No specific rules here, but here, the reason why it is one unit to the left and not one unit to the right is because of the formula.

remember how it is x-h. On a graph, it would be -1.

So x--1 is x+1.

Don't get fooled by this.

Vice versa as well.

With vertical translation, however, you do not need to remember anything. If it says -7 it is translated 7 units down from the parent function or y=x^2.

I hope this helps!

You might be interested in
In a downtown parking lot there are 5 times as many cars there as trucks. There are 12 trucks in the parking lot. How many cars
torisob [31]
12 * 5 = 60 Cars & 12 Trucks
7 0
3 years ago
Read 2 more answers
At the beach this weekend, the ratio of sandcastles to kites was 3 to 5. If there were 15 kites spotted, how many items were see
Gelneren [198K]

Answer: 24

Step-by-step explanation:

The ratio of sandcastles to kites was 3 to 5 so if 15 kites were spotted that meant that the 5 was multiplied by 3 so then we multiply the 3 by 3. Now there are 9 sandcastles and 15 kites so now we add 9 to 15 to figure out how many items were seen in all. Nine added to 15 equals 24 which means that 24 items were seen in total.

6 0
3 years ago
I need help with question 30..
Aloiza [94]

Let's say 1000 dollars was spent on all of these. That would mean 170 dollars and 240 were spent on food and entertainment respectivly. If we want to see how much of the total cost was spent on these things, we would have to add them and divide them by 1000, so:

\frac{170+240}{1000}=\frac{410}{1000}=frac{41}{100}

6 0
3 years ago
At a convenience store, you have a choice of five diet drinks, 10 regular drinks, six bags of fat-free chips, and 10 bags of reg
emmainna [20.7K]

Answer:

d) 5/12​

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Drinks:

Five diet, 10 regular.

Probability of a regular drink:

10/(10+5) = 10/15 = 2/3

Regular bag of chips:

6 fat-free, 10 regular

Probability of a regular bag of chips:

10/(10+6) = 10/16 = 5/8

What is the probability that you will buy a regular drink and a regular bag of chips?

Drink and chips are independent events, which means that we just multiply the probabilities. So

\frac{2}{3}*\frac{5}{8} = \frac{2*5}{3*8} = \frac{10}{24} = \frac{5}{12}

The correct answer is given by option d.

6 0
3 years ago
I NEED HELP ASAP GIVE U 50 POINTS​
Dovator [93]

Answer:

37.5

Step-by-step explanation:

50+160=210.

210 is a 31.25% increase from 160

Multiply 120 by 1.3125 to get 157.5

subtract 120 from 157.5 to get a 37.5km increase or a 31.25% increase :)

4 0
1 year ago
Other questions:
  • Write the equation in slope- intercept form of the line that has a slope of -3 and contains the point (1,1)
    9·1 answer
  • If a number is divisible by 3 then it is odd
    7·2 answers
  • A local farm has raised $3,300 from their annual maple syrup festival. The owner of the farm decided to invest this money into a
    6·1 answer
  • The flower shop has 40 times as many flowersin one cooler as Julia has in her banquet. The cooler has 120 flowers.how many flowe
    11·2 answers
  • Please help!! Xoxo! Appreciate it :)
    10·2 answers
  • The yield of a certain chemical reaction is believed to be related to temperature. A study collected the yield from 15 such reac
    14·1 answer
  • Choose true or false for each statement about the equation (x+14)^1/2 = x+2
    9·1 answer
  • BRAINLIEST!!! 20 POINTS
    13·2 answers
  • Directions: Solve the following multiplication and division equations by filling the blanks.
    11·1 answer
  • draw the image of figure after each translation number 9. four units left and 4 unit down number 10 five units right in three un
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!