Describe the transformation from the graph of f(x)=12x2+1 to the graph of g(x)=f(x)−4.

Answers

Answer 1

Answer:

Step-by-step explanation:

The graph of g(x) = f(x) - 4 is the same as that of f(x), EXCEPT that it has been translated down by 4 units.  

The graphs of  f(x)=12x2 + 1   and  g(x)=f(x)−4 are both parabolas that open up and have their vertices on the same vertical line (the y-axis).


Related Questions

10) Which equation represents a function of x that is NOT linear? * A. y=4(x+3) B. y=4²+3x C. y=4x+3x² D. (4+x)/3

Answers

C

That is a quadratic equation because you have x to a second power. Linear equations have just x

The equation that  represents a function of x that is NOT linear should be option c.

Linear equation:

In the linear equation they have only x while on the other hand, in the quadratic equation they have x to the second power

So as per the given situation, the option a, option b, and option d represent the linear equation

Therefore, The equation that  represents a function of x that is NOT linear should be option c.

Learn more about an equation here: https://brainly.com/question/17833324

One side of a rectangle is three times as long as another. If its area is 363 square centimeters, find its dimensions.

Shorter side:
Longer side:

Answers

9514 1404 393

Answer:

  11 cm by 33 cm

Step-by-step explanation:

You can solve this problem mentally as follows.

Consider the rectangle as 3 squares, side-by-side. Then the area of each of those squares is 363/3 = 121 cm^2. From your knowledge of the squares of numbers, you know that 121 = 11^2. So, the width of the rectangle is 11 cm, and the length is 3 times that, or 33 cm.

_____

Using variables, we can let w represent the width. Then 3w can represent the length, and the area is ...

  A = LW

  A = (3w)(w) = 3x^2 = 363

  w^2 = 363/3 = 121

  w = √121 = 11

  3w = 3·11 = 33

The width is 11 cm; the length is 33 cm.

Answer:

Shorter side: 11 cm

Longer side: 33 cm

First, write down what you know:

length=3*width, this can be written as 3w

area=363 sq cm

Now we know the formula for the area of a rectangle= length * width so we can substitute what we know into the formula. It looks like this:

        363 (area) = 3w (length) × w (width)

        [tex]363=w^2[/tex]

  divide both sides by 3 to get: 121 = [tex]w^2[/tex]

   take the square root of both sides to get: w=11 (square root of 121 is 11)

Now that we know what the width is, we can substitute that and find the length: 3w = 3 × 11=33

So length (longer side) is 33cm and width (shorter side) is 11cm.

*To check this, plug the numbers into the area formula: Area=33 × 11 = 363 sq cm.

Please mark brainiest if you can

3
y=x-2
4
W

3
slope: - ; y-intercept: 2
4
4
slope: ; y-intercept: 2
4
slope:
; y-intercept: -2
3
3
slope: - y-intercept: -2
4

Answers

Answer:

The last one

Step-by-step explanation:

Trust me and also hope this helps

what is the measure of angle c​

Answers

Answer: D+<B=180

x+24+x+10=180sum of opposite angle of quadrilateral is 180

2x=180-34

x=146/2=73

again

<A+<C=180sum of opposite angle of quadrilateral is 180

x+15+<C=180

73+15+<C=180

<C=180-88=92° is your answer

help please asap. best answer gets brainliest.

Answers

Answer:

Step-by-step explanation:

4 is coefficient

x is variable

12 is constant

4-coefficient
X-const
12-variable

What is 73 divided by 21

Answers

73 divided by 21 is 3.4

Answer:

exact form: 73/21

decimal form: 3.476190

mixed number: 3 10/21


2. Sam's cat weighs 6 times as much as Larry's hamster. Together, they
weigh 28 pounds. How much does Sam's cat weigh? *
24 lbs
28 lbs
32 lbs

Answers

24 lbs yb ion. jiffy. jilllm

2/9 h = 8

h=

Pls tell me what h = !

Answers

Answer:

h=36

.......................

-5p + 3.5 = 8
WITH STEPS ON HOW YOU DID IT PLEASE

Answers

move 3.5 to the other side, which makes it negative
-5p=8-3.5
-5p=4.5
divide both sides by -5
p= -0.9
-5p + 3.5 = 8
-3.5 -3.5 subtract
-5p = 4.5
—— —— division
-5 -5

p = -1.1

Write an expression equivalent to 2/3 (x-6)​

Answers

Answer:

2(1/3x-2)

Step-by-step explanation:

Help please anyone ?!!!!!

Answers

Answer:

Step-by-step explanation:

bh= (2x-6)(x-2)

expand this

2x^2 -10x+12

since formula is 1/2 bh then halve the values

x^2-5x+6

20, 18, 21, 18, 22, 24, 18, 23, 23, 24 Explain the meeting of the interquartile range as it relates to the number of students in the kindergarten classes

Answers

The interquartile range of the data-set is of 5.5, which means that the middle 50% kindergarten classes has a number of students that differ by at most 5.5.

What are the median and the quartiles of a data-set?

The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.The first quartile(Q1) is the median of the first half of the data-set, and is also the 25th percentile.The third quartile(Q3) is the median of the second half of the data-set, and is also the 75th percentile.The interquartile range(IQR) represents the middle 50% of the distribution, and is given by Q3 - Q1.

For this problem, the ordered data-set is given by:

18, 18, 18, 20, 21, 22, 23, 23, 24, 24.

There are 10 elements, hence:

The first half is 18, 18, 18, 20, which has median (18 + 18)/2, hence Q1 = 18.The second half is 23, 23, 24, 24, which has median (23 + 24)/2, hence Q3 = 23.5.

Then the IQR is:

Q3 - Q1 = 23.5 - 18 = 5.5.

The IQR is of 5.5, which means that the middle 50% kindergarten classes has a number of students that differ by at most 5.5.

More can be learned about the interquartile range of a data-set at https://brainly.com/question/17083142

#SPJ1

David has 2 red marbles and 9 orange marbles. What is the ratio of red marbles to total marbles?

Answers

Answer:

the ratio is,

2:11

Step-by-step explanation:

thats because there is 2 red marbles and when you add 9+2 that is the total off marbles there for the ratio is2:9

Answer:

Step-by-step explanation:

2 red and 9 orange 11 total

2:11

The soccer team practices passing for 3/4 hour and shooting for 4/5 hour. On which drill does the team spend less time? Explain how you can use the model to find the answer.

Answers

Answer:

Passing practice takes less time

Step-by-step explanation:

Given:

Taken time for passing practice = 3/4 hour

Taken time for shooting practice = 4/5 hour

Find:

which practice take less time

Computation:

Change into minutes

Taken time for passing practice = [3/4]60 = 45 minutes

Taken time for shooting practice = [4/5]60 = 48 minutes

Passing practice takes less time

Find 1 2/3 + (-2 1/2)

Answers

2/3 - 1/2 = 1/
6
≅ 0.1666667

i need help----------

Answers

18 sleep more than 540 and 10 sleep less than 540 hope this helps

Explain how you can differentiate between a square, rhombus, and rectangle based on the angles formed by their diagonals.

Answers

Answer:

Quadrilateral just means "four sides"

(quad means four, lateral means side).

A Quadrilateral has four-sides, it is 2-dimensional (a flat shape), closed (the lines join up), and has straight sides.

Step-by-step explanation:

propertiesA quadrilateral has:

four sides (edges)

four vertices (corners)

interior angles that add to 360 degrees:

Quadrilateral Angles

Try drawing a quadrilateral, and measure the angles. They should add to 360°

Types of Quadrilaterals

There are special types of quadrilateral:

Types of Quadrilateral

Some types are also included in the definition of other types! For example a square, rhombus and rectangle are also parallelograms. See below for more details.

Let us look at each type in turn:

The Rectangle

Rectangle

the little squares in each corner mean "right angle"

A rectangle is a four-sided shape where every angle is a right angle (90°).

Also opposite sides are parallel and of equal length.

The Square

Square

the little squares in each corner mean "right angle"

A square has equal sides (marked "s") and every angle is a right angle (90°)

Also opposite sides are parallel.

A square also fits the definition of a rectangle (all angles are 90°), and a rhombus (all sides are equal length).

The Rhombus

Rhombus

A rhombus is a four-sided shape where all sides have equal length (marked "s").

Also opposite sides are parallel and opposite angles are equal.

Rhombus Diagonals

Another interesting thing is that the diagonals (dashed lines) meet in the middle at a right angle. In other words they "bisect" (cut in half) each other at right angles.

A rhombus is sometimes called a rhomb or a diamond.

The Parallelogram

Parallelogram

A parallelogram has opposite sides parallel and equal in length. Also opposite angles are equal (angles "A" are the same, and angles "B" are the same).

NOTE: Squares, Rectangles and Rhombuses are all Parallelograms!

Example:

Square

A parallelogram with:

all sides equal and

angles "A" and "B" as right angles

is a square!

The Trapezoid (UK: Trapezium)

Trapezoid (or Trapezium) Trapezoid (or Trapezium)

Trapezoid

Isosceles Trapezoid

A trapezoid (called a trapezium in the UK) has a pair of opposite sides parallel.

And a trapezium (called a trapezoid in the UK) is a quadrilateral with NO parallel sides:

Trapezoid Trapezium

In the US: a pair of parallel sides NO parallel sides

In the UK: NO parallel sides a pair of parallel sides

(the US and UK definitions are swapped over!)

An Isosceles trapezoid, as shown above, has left and right sides of equal length that join to the base at equal angles.

The Kite

The Kite

Hey, it looks like a kite (usually).

It has two pairs of sides:

Each pair is made of two equal-length sides that join up.

Also:

the angles where the two pairs meet are equal.

the diagonals, shown as dashed lines above, meet at a right angle.

one of the diagonals bisects (cuts equally in half) the other.

... and that's it for the special quadrilaterals.

Irregular Quadrilaterals

The only regular (all sides equal and all angles equal) quadrilateral is a square. So all other quadrilaterals are irregular.

The "Family Tree" Chart

Quadrilateral definitions are inclusive.

Example: a square is also a rectangle.

So we include a square in the definition of a rectangle.

(We don't say "Having all 90° angles makes it a rectangle except when all sides are equal then it is a square.")

This may seem odd, as in daily life we think of a square as not being a rectangle ... but in mathematics it is.

Using the chart below we can answer such questions as:

Is a Square a type of Rectangle? (Yes)

Is a Rectangle a type of Kite? (No)

Quadrilateral Classification

Complex Quadrilaterals

Oh Yes! when two sides cross over, we call it a "Complex" or "Self-Intersecting" quadrilateral, like these:

Complex Quadrilaterals

They still have 4 sides, but two sides cross over.

Polygon

A quadrilateral is a polygon. In fact it is a 4-sided polygon, just like a triangle is a 3-sided polygon, a pentagon is a 5-sided polygon, and so on.

Play with Them

Now that you know the different types, you can play with the Interactive Quadrilaterals.

Other Names

A quadrilateral can sometimes be called:

a Quadrangle ("four angles"), so it sounds like "triangle"

a Tetragon ("four polygon"), so it sounds like "pentagon", "hexagon", etc.

Question 1 Question 2 Question 3 Question 4 Question 5 Question 6 Question 7 Question 8 Question 9 Question 10

Polygons

Interactive Quadrilaterals

Right Angle

Parallel

Parallelogram In Any Quadrilateral

Geometry Index

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PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer and Step-by-step explanation:

You got the triangle at front, half of 6 is 3, so then you do 4 times 3 divided by 2, which is 6.

There are 4 of those triangles, so 4 times 6 is 24.

Now, we got two rectangles on top. 5 times 12 is 60, and 60 + 60 is 120.

the bottom rectangle is 6 times 12, which is 72.

Now we add.

24 + 120 + 72 is 216

216 [tex]in^2[/tex] is the answer.

#teamtrees #PAW (Plant And Water)

Can Someone Help Please And Thank You

Answers

Answer:

your answer will be option A.0

Step-by-step explanation:

hope it helps you

have a great day!!

What the volume?????????

Answers

volume formula: length x width x height
left rectangular prism: 12 x 2 x 10 = 240
right rectangular prism: 12 x 8 x 2= 192
192 + 240 = 432
volume = 432 m^3

Fabian makes a scale drawing of his tree house with a scale factor of 1 foot = 0.44 inch. If the length of the tree house in the drawing is 3.52 inches, what is the actual length of the tree house

Answers

1/0.44 = x/3.52
0.44x = 3.52
x = 8

8 feet

If x = 10 find the value of 2x2 + 21

Answers

Answer:

221

Step-by-step explanation:

If x = 10,

2x² + 21 = 2(10)² + 21

             = 200 + 21

             = 221

Hope it helps :)

Please mark my answer as the brainliest

What is another way to write 3 x (4+5) = 27?
Pleas help

Answers

Answer:

Step-by-step explanation:

3 x (5+4) = 27

Hope that helps!

The another way to write 3 x (4+5) = 27, is 3 x (5+4) = 27.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

3 x (4+5) = 27

i.e. 3 x (5+4) = 27

Hence, The another way to write 3 x (4+5) = 27, is 3 x (5+4) = 27.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ2

Can you please help?

Answers

Answer:

change in X is 12

Step-by-step explanation:

The new value of the x is 15 and it went from 3, so the change is 12

Yeah, I am pretty sure the change is 12.

The factor is 5, so you would multiply each side by 5 and the angles would stay the same

1•5=5 and 3•5=15.

You have your new value, 15, and your old value, 3. Knowing this, to find the difference you would subtract.

15-3=12

I need an answer ASAP.
Which tiles should be added to the model below to make zero?
DOOOOO
6 negative tiles
6 positive tiles
3 negative tiles and 3 positive tiles
6 negative tiles and 6 positive tiles

Answers

6 positive tiles because there’s 6 negative so 6 positive will cancel it out

Which of the following is true of a radius of a circle?



(1) Radius is the distance from the center to any point on the circle.
(2) A circle may have radii with different values.

(3) Radius is half the diameter in any circle


Select one:
Only (1) and (2)
Only (2) and (3)
Only (1) and (3)
All (1), (2) and (3)

Answers

The answer for this question is only one and three

help
help
help
por favor
por favor
please

Answers

Answer:

cant help im sorry

Step-by-step explanation:

Answer:ok i don't know but you can copy and paste the question then search it in the search bar because i can guaranty that someone has asked that question before. and then all you got to do that and you can keep your points. hope this helps! ;)

Step-by-step explanation: Plz give brainliest.

36 irrational or rational and why?

Answers

Rational number because for a number to be irrational it needs to have a decimal or be smaller than 1

Answer:

Rational

Step-by-step explanation:

First tip with numbers... All whole numbers are rational and all numbers, rational or irrational are real numbers. Rational numbers consist of whole numbers, integers, fractions, and so on... While irrational numbers are numbers that can't be simplified to a basic whole number or fraction like 36.

Pi (π) is an example of an irrational number.

36 is an example of a rational number.

Hope you get it now! :)

y= 22 + 2x + 3
What are the coordinates of the vertex of the given function?

Answers

Hope this helps can u mark me as branloest plz x

Which congruence theorem, if any, can be used to prove that the triangles are congruent?
SAS
SSS
HL
ASA
AAS
not enough info.
please help!!

Answers

Answer:

SAS

Step-by-step explanation:

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