Following the order of operations, describe how the graph of y = x² has been transformed to create a new graph given the equation: y = [tex]-\frac{1}{2}[/tex](x + 4)² - 5

Answers

Answer 1

Answer:

Step-by-step explanation:

First we replace the original 'x' with 'x + 4,' which causes translation of the original parabolic graph 4 units to the left.  Next, reflect this translated graph about the x-axis (which is the effect of multiplying by -1/2 as shown).  Finally, shift the entire graph (the most recent one) down 5 units.


Related Questions

Diego played chess for 30 minutes. He stopped playing at 5:49 PM move the numbers to the Clock to show what time he started playing

Answers

Answer:

He strated at 5:19 PM

Step-by-step explanation:

Have a Nice Day!

Answer:

5:19

Step-by-step explanation:

What conclusion can be drawn about the axis of symmetry of any quadratic function for which b=0? The axis of symmetry is x=___

Answers

Answer:

x = 0

Step-by-step explanation:

6 tan(2x) − 6 cot(x) = 0 ; [0, 2π)

Answers

9514 1404 393

Answer:

  x ∈ {π/6, π/2, 5π/6, 7π/6, 3π/2, 11π/6}

Step-by-step explanation:

We can divide by 6 and use some identities to rewrite this as ...

  2tan(x)/(1-tan(x)²) -1/tan(x) = 0

  2tan(x)² -(1 -tan(x)²) = 0 . . . . . . . . . multiply* by tan(x)(1 -tan(x)²)

  3tan(x)² = 1

  tan(x) = ±1/√3   ⇒   x = {π/6, 5π/6, 7π/6, 11π/6}

__

Interestingly, if we use different identities, we can rewrite it as ...

  2cot(x)/(cot(x)² -1) -cot(x) = 0

  cot(x)(3 -cot(x)²) = 0 . . . . . . . multiply by (cot(x)² -1)

In addition to the zeros found above, this equation also has solutions where cot(x) = 0. That is ...

  x = {π/2, 3π/2}

_____

Usually, the first method shown would give all the solutions. Fortunately, we had a graph of the function, so we could see that the first set of solutions found was not complete. (This is one reason I like to use a graphing calculator for guidance on problems like this.)

_____

* In the first solution, we multiplied by the denominator tan(x)(1 -tan(x)²). It was multiplying by tan(x) that made the π/2, 3π/2 solutions disappear. Had we kept 1/tan(x) as a numerator factor of cot(x), we would have had the same result as seen in the second approach.

What two shapes made up the figure? cone and prism​

Answers

Answer:

A cone is a shape with a circular base and a single face that ends in a point.

A prism is a 3-dimensional shape with two identical shapes facing each other. These identical shapes are called “bases”. The bases can be a triangle, square, rectangle or any other polygon. Other faces of a prism are parallelograms or rectangles.

Please help and explain why

Answers

Answer:

it is A.

Step-by-step explanation:

helpppppppppppppppppp ​

Answers

Answer:b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.
Click twice to plot each segment.
Click a segment to delete it.
&
5
3
2
-
-5
-1
4
-10-9-8-7
5
7
9
10

Answers

Answer:

Slope = 2

Step-by-step explanation:

To get the slope of the line first choose two points on the graph,

Let the points be (0, 0) and (1, 2).

Rise of the line between these points = 2 units (arrow pointing upwards)

Rise of the line will be positive when arrow is upwards and it will be negative when pointing downwards.

Rise = 2

Similarly, run = 1 (arrow pointing right)

Run of a line will be positive when it points to the right and negative when points to the left.

By this rule, Slope = [tex]\frac{\text{Rise}}{\Text{Run}}[/tex]

Slope = [tex]\frac{2}{1}[/tex]

          = 2

Therefore, slope of the line is 2.

Round to the nearest ten thousand 738,424

Answers

Answer:

740,000

Step-by-step explanation:

Because 38,000 rounds up to 40,000

the answer is 740,000

find the value of x

show your work

Answers

Answer:

x = 83

Step-by-step explanation:

Using the Pythagorean Theorem:

a² + b² = c²

x² + 8² = 16²

x² + 64 = 256

x² = 192

√x² = √192

x = √64 √3

x = 8√3

Find the length of k to the nearest 10th of an inch

Answers

See attachment for reply and answer.

Answer: k = 12 inches

Write the polynomial in standard form. Then name the polynomial based on its degree and
number of terms.
6x² + 6x² – 2x²
O 6x2 – 2x – 2: second-degree
O 6x2 + 6x4 – 2x2, not a polynomial
O 6x4 Nx: fourth-degree binomial
6x4 + 4x2, fourth-degree binomial

Answers

Answer:

[tex]10x^2[/tex]

Second degree polynomial

Step-by-step explanation:

Given

[tex]6x^2 + 6x^2 -2x^2[/tex]

Solving (a): In standard form

[tex]6x^2 + 6x^2 -2x^2[/tex]

Solve

[tex]6x^2 + 6x^2 -2x^2 = 10x^2[/tex]

Hence, the standard form is: [tex]10x^2[/tex]

Solving (b): The name

The above has a single term and the power of x is 2,

Hence, it is a second degree polynomial

None of the options is correct

PLEASE ANSWER ASAP!!!!!!!!!! At what rate is the amount of flour decreasing per minute if the original amount is 630?

Answers

Did you figure it out?

SM1 HELP ASAP ILL GIVE BRAINLIEST

Answers

Answer:

a.

Step-by-step explanation:

you add 2 & 3 ... you get 4. then you add 2 & 4 ... you get 6.

Find the area of the circle that contains the sector described below. Round to the nearest tenth, if necessary.



One sector has an area of 325 square millimeters and an arc measure of 72°.


__ mm2

Answers

If One sector has an area of 325 square millimeters and an arc measure of 72° then the area of circle is 1625 square mm.

What is Circle?

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

To find the area of circle we have to know the radius of the circle.

We know Area of sector=(θ/360º) × πr²

325=72/360×3.14r²

325=0.2×3.14r²

325=0.628r²

Divide both sides by 0.628

r²=517.51

Area of circle= πr²

=3.14×517.51

=1625 square mm.

Hence, if One sector has an area of 325 square millimeters and an arc measure of 72° then the area of circle is 1625 square mm.

To learn more on Circles click:

https://brainly.com/question/11833983

#SPJ1

6). Three coins will be tossed in the air at the same time. What is the probability that all three coins will land showing heads?

Michael spins the spinner below twice.

What is the probability the spinner will land on the number 4 for both spins?

Answers

Answer:

1/8 for the coins

I can't the spinner so i cant answer that

Step-by-step explanation:

1/2x1/2x1/2

who was the first president of the United States ?

Answers

mr george washington

Find P(rolling 2 or 5) with one number cube.

Answers

Answer:

1/3 chance

Step-by-step explanation: 2/6=1/3

Write the word sentence as an equation.
9 less than a number b equals 2.
An equation that represents this sentence is
Please help!

Answers

Answer:

b - 9 = 2 I believe would be it

Answer:

b-9=2

Step-by-step explanation:

Jessica has a coupon for 20% off the original price of
her purchase.
When she gets to the checkout counter, the employee
notifies her that they are going to take an additional
15% off the already reduced price.
What is the final price of a pair of sneakers that
originally cost $140?

Answers

Answer: $95.20

Step-by-step explanation:

140 * .2 = 28

140 - 28 = 112

112 * .15 = 16.8

112 - 16.8 = 95.2

Answer:

95.2

Step-by-step explanation:

hope it helps. that's the least I could do if it's not correct please tell me.

Help me pls nsjsjsh help help

Answers

Answer:

43.98

Step-by-step explanation:

The formula for circumference is 2(pi)r

R is the radius

The radius is 7

So that means 2(pi)(7) is the answer

2(pi)(7) = 43.98

ANSWER:
43.98

STEP-BY-STEP
the formula for the circumference is 2(pi) r
R is for radius
the radius is 7
so 2(pi)(7) is your answer :)!

This question is based on the following circle graph. The graph represents the results of a survey in which 400 people were asked
to identify the TV channel on which they preferred to watch the evening news.
WKOD
13%
WCLM
24%
WWCN
41%
WANR
22%
10. Write a ratio to express the number of people who preferred WANR to those who preferred WCLM.
A. 23:100
B. 3:50
C. 11:12
D. 46:100

Answers

Answer:

C) 11:12

Step-by-step explanation:

22:24 which reduced to 11:12

5)
Which fraction is equivalent to 1/4
A 2/6 b 4/16 c 4/1 d 4/8

Answers

Answer is: 4/16 (please make me braniest!)

A peregrine falcon in flight can travel as fast as 200 miles per hour. Which representation does NOT show y, the total number of miles that a peregrine falcon can fly, in x hours?

Answers

Answer:

The first option

Step-by-step explanation:

This is a direct relationship.

The equation is:

d = 200t

The first option:

d = 110t, no, not matching the above

The second option:

d = 200t, yes, same relationship

The third option:

1100/5.5 = 200y = 200x, yes, same relationship

The fourth option:

100/0.5 = 200y = 200x, yes, same relationship

answwer this question for brainlest and 25 points

Answers

Answer:

from least to greatest it's:

3.5, π, √10

Step-by-step explanation:

pi = 3.14 (mainly used as 3.14) and the square root of 10 = 3.16 rounded to the nearest hundredth

1. 3.5

2. [tex]\pi[/tex]

3. [tex]\sqrt{10}[/tex]

The surface area of all faces on a 3-D figure

Answers

Step-by-step explanation:

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula,

W
(5x- 12)
z
Y
(2x - 3)°
X =
m

Answers

Answer:

<VYX +<YVX+<VXY=180 SUM OF THE INTERIOR ANGLE OF THE TRIANGLE

90+5X-12+2X-3=180

7X=180-75

X=105/7=15

X=15°

again

in right angled triangle XYZ

<Y+<Z+<X=180

<y+90+2×15-3=180

[here diagonal of the rectangular bisect each at 90°]

<Y=180-117=63°

M<VWZ= <XYZ=63° alternate angle

1. In which table is y not a function of x?
please help!!

Answers

Answer:

D

Step-by-step explanation:

because All Of The Value Of X Is The Same

Che is buying a computer that costs $2 856. He pays with $100 bills. How many notes will he give the salesperson?

Answers

Answer:

28 notes (or bills)

Step-by-step explanation:

28.56 to be exact

is the following number rational or irrational ? -0. overline 32

Answers

Answer:

yes

Step-by-step explanation:

because -0 is not rational number

13 of 20 players from the boys soccer team have decided to tryout for lacrosse, what percent of the soccer team is playing lacrosse?

Answers

Answer:

65%

Step-by-step explanation:

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