The graph of h is a translation 4 units right and 1 unit down of the graph of
f(x) = 3(x - 5)^2 - 1. Write an equation for h(x) in vertex form and explain how you reached your answer.

Answers

Answer 1

Answer:

h(x) = 3(x - 9)² - 2

Step-by-step explanation:

Rules for translation of a function are as follows:

f(x) + a = vertical translation of f(x) upwards by a units

f(x) - a = vertical translation of f(x) downwards by a units

f(x + a) = horizontal translation of f(x) leftwards by a units

f(x - a) = horizontal translation of f(x) rightwards by a units

So, using the above the rules:

h(x) = f(x - 4) - 1

h(x) = (3((x - 4) - 5)² - 1) - 1

h(x) = 3(x - 9)² - 2


Related Questions

(6g)^3
Simplify the expression.

Answers

216g^3

Hope this helps

A square and rhombus are shown below

Answers

Answer:

B

Step-by-step explanation:

All the angles of square are 90° but in Rhombus all angles are not right angle only the angles opposite to each other are equal.

I got this answer from Gauthmath and i think you should try it to.

hope this was the answer you were looking for.

Answer:

B

Step-by-step explanation:

All the angles in a rhombus are not always 90 degrees.

Hope that this helps!

Javed is building a birdhouse in the shape of a triangular pyramid. He drew the net for his birdhouse and labeled the dimensions. The base is an isosceles triangle with two side lengths of 20 cm. How much wood will Javed need for the birdhouse?

Answers

Answer:

See attachment

Step-by-step explanation:

Required

How much wood needed (i.e. the surface area)

The question is incomplete, as the net of the triangular prism is not given. So, I will answer with the attached net.

To calculate the surface area, we simply calculate the area of each face of the net.

The area of the net is as follows:

Area= 2 * Area of Triangle + 2 * Area of 2 Congruent Rectangles + Area of the third rectangle

So, we have:

[tex]Area = 2 * \frac{1}{2} * 6 * 5 + 2 * 8 * 7 + 8 * 6[/tex]

[tex]Area = 30 + 112 + 48[/tex]

[tex]Area = 190cm^2[/tex]

A dressmaker needs 3 3/8 m of fabric to sew one dress. How many dresses can be made with 28 m of fabric?

Answers

Answer:

it can make 8 dresses

Step-by-step explanation:

3⅜ goes into 28 8 times with .29 remaining

What is the common factor for 90 and 96?

Answers

Answer:

6

Step-by-step explanation:

Greatest common factor of 90 and 96 is 6.

Answer:

The greatest common factor for 90 and 96 is 6.

Step-by-step explanation:

Multiply or divide
(K²) (k)

Answers

Algebra

For example, (x)(x)=x^2

Add the exponents of the variable to get the correct answer.

(k^3)(k^5)=k^8

Answer and Step-by-step explanation:

When two values have the same base, have exponents, and are being multiplied to each other, then we add together the exponents.

So, we are given k to the power of 3, which is multiplied by k to the power of 5. The powers (exponents) are added together to make 8, and the bases combine to be only one of the bases, being k.

So, we are left with the answer being [tex]k^8[/tex].

I hope this helps!

#teamtrees #PAW (Plant And Water)

I NEED HELP PLS HELP!!

Answers

Answer:

no solution

Step-by-step explanation:

the lines are parallel so they never touch, this means that there is no solution

I need help with this simplification-

Answers

Answer:

1.31

Step-by-step explanation:

= [tex]\frac{64}{56}[/tex]^2 x [tex]\frac{1}{2.92}[/tex]^3 x 2.48

= 1.31 x 0.40 x 2.48

= 0.524 x 2.48

= 1.31

:)

Answer was verified and rounded

Question: What is the probability of rolling one or more tails?
P(T > 1) = P(T = 1) + P(T = 2) = \ + 1
(Enter as a reduced fraction using / for the fraction bar.)

Answers

Odk I just don’t know sorry

help finding the volume

Answers

Answer:

1651.06 m³

Step-by-step explanation:

the volume of the whole block is base area times height :

Vb = 10 × 12 × 18

but we have to deduct the volume of the removed central cylinder.

the volume of the cylinder is again base area times height :

Vc = pi×r² × 18 = pi×3² × 18 = pi×9×18

so, the volume of the object is

V = Vb - Vc = 2160 - 508.94 = 1651.06 m³

What is the answer? i cant find it helpp

Answers

Answer:

The y intercept is 4

Step-by-step explanation:

The slope is

m= (y2-y1)/(x2-x1)

  = (64-44)/(24-16)

  = 20/8

For each increase of 8 we go up 20

So for each decrease of 8 we go down 20

(16,44)

(16-8, 44-20)

(8,24)

(8-8,24-20)

(0,4)

The y intercept is 4

please help me with this problem

Answers

Answer:

sin 42=x/4.6 then x=-0.9165/4.6, x=-4.216

Which type of graph shows data points plotted and connected by line segments?

A. a circle graph
B. a histogram
C. a dot plot
D. a line graph

Answers

Answer:

D. a line graph

Step-by-step explanation:

D) Graphs are usually formed from various data points, which represent the relationship between two or more things.

) In 100,000 CABG surgeries, what is the expected number of retained foreign bodies? Expected number

Answers

Answer:

The answer is "16".

Step-by-step explanation:

[tex]n=100,000\\\\\pi =0.00016\\\\[/tex]

The expected number of retained foreign bodies  are:

[tex]=n \pi\\\\= 16[/tex]

The circular rug is placed on a square floor. The rug touches all four walls. How much of the floor space is not covered by the rug?

Answers

Answer:

42 ft

Step-by-step explanation:

14 times 14=196

R of circle =7

7 squared=49

49 times pi= 153.938040026

196-153.938040026= 42.0619599741

Rounded to 1 decimal=42.1

Rounded to whole number = 42

Does anyone know what this is :

x - 12 = -2

Answers

x= 10 because 10-12= -2
x=10
explanation is in the picture below.
Hope this helps!

If f (x) = -2x2 + 6, find f (-3).

Answers

Answer:

Step-by-step explanation:

Answer:

f(- 3) = - 12

Step-by-step explanation:

To find f(- 3) substitute x = - 3 into f(x) , that is

f(- 3) = -2(- 3)² + 6 = -2(9) + 6 = - 18 + 6 = - 12

Helppppppppppppppppppp I’ll mark you brainlist don’t respond if you’re going to put something random I will report you :)

Answers

Answer:

6 and 7

Step-by-step explanation:

It is vertical angles (plural) - a pair of non-adjacent angles formed when two lines intersect. There are two pair of vertical angles with intersecting lines, they are across from each other.

Answer:

the answer is 3 and 7 third one

if (a/b) =(9/7)^-3 ÷(3/7)^1, then find the value of (a/b)^2​

Answers

Answer:

decimal = 1.20527

Step-by-step explanation:

[tex]\frac{a}{b} = (\frac{9}{7})^{-3} \div (\frac{3}{7})^1[/tex]

  [tex]=(\frac{7}{9})^3 \times \frac{7}{3}\\\\[/tex]

[tex](\frac{a}{b})^2 = ((\frac{7}{9})^3)^2 \times (\frac{7}{3})^2\\\\[/tex]

      [tex]= \frac{7^6 \times 7^2}{9^6 \times 3^2}\\\\= \frac{7^8}{9^6 \times 9}\\\\=\frac{7^8}{9^7}\\\\=\frac{7^7 \times 7}{9^7}\\\\= 7 \times \frac{7^7}{9^7}\\\\= 7 \times (\frac{7}{9})^7[/tex]

      [tex]=\frac{5764801}{4782969}[/tex]      

Your cousin Pablo gets his haircut, and it costs $12.00. What will he spend in total on his haircut if he includes a 12% tip?

Answers

Answer:

The tip would be $1.44, so the total would be $13.44

Step-by-step explanation:

To find the tip you take the bill ($12), and multiply it by the percent of tip given (12%), but it has to be in decimal form. 12% in decimal form is .12. 12 times .12 is 1.44. Add $12 to that to get $13.44.

Answer:

Step-by-step explanation:

You could do this a couple of ways. The first and easiest is to change 12% to a decimal. 12% = 12/100 = 0.12

Add this onto 1.

1 + 0.12 = 1.12

Multiply this number by

12*1.12 = 12(1 +0.12)     Remove the brackets

12*1  + 1.44

Haircut + tip = 13.44

Of course, it would be much shorter to do it 12*1.12 = 13.44

Quandrilateral ABCD is inscribed in a circle. What is the measure of angle A? A=(2x-40)B 116 C D=x what is the measure of angle A

Answers

Answer:

angle A = 88°

Step-by-step explanation:

Given: inscribed quadrilateral ABCD

(recall that inscribed quadrilaterals have opposite angles supplementary.

A=2x-40

B=116

D=x

From inscribed quadrilateral,

B+D=180 => 116+x = 180 => x=64

A=(2x-40) = 2*64-40 = 88°

(C = 180-88 = 92°)

Read the following and then answer the question
What's for Lunch2
Marcia Amidon Lusted
Zachary Maxwell was tired of trying to explain to his parents why he wanted to bring lunch to school
instead of eating hot lunch. They couldn't understand why he didn't want to eat the gourmet food
described on the school's online menu, which sounded both nutritious and interesting. Zachary just
couldn't convince them that the food wasn't as great as it sounded. So in the fall of 2011, he began
sneaking a small video camera into the cafeteria at his school, to show his parents what the lunches
were really like. Six months and 75 school lunches later, Zachary made a documentary film about his
lunch called Yuck A 4th Grader's Short Documentary About School Lunch
Did the student who made this film provide an objective opinion? Did that affect the quality of the film?

Answers

it’s off the 4th listed

Geometry end of year review escape room: room A

Answers

What is the question

14. A computer originally costs $1550 is on sale for 15% off. How much is
the discount? *

A. $232.50
B. $23.25
C. $15.00
D. $1,317.50

Dont mind the blue. I hit B by accident.

Answers

232.50

1550 / 100 is 15.5 so 15.5 = 1%, 15.5 x 15 = 232.5 = 15%

whats x? show work pls?

Answers

Angle of one part of the circle = 250°

Angle of another part of circle = 360-250 = 110°

x° = 250-100/2 = 150/2. =75°

Someone please help me thank you

Answers

Answer:

x=-3

Step-by-step explanation:

Answer:

g = [tex]-\frac{2x}{3} -1[/tex]

Step-by-step explanation:

Divide each term by -3 and simplify.

[tex]g(x)=\frac{2x}{-3} +\frac{3}{-3}[/tex]

[tex]g(x)=-\frac{2x}{3} -1[/tex]  

The negative sign has to go in the whole number position

3/ -3 = -1 so the addition sign no longer exist since 1 is negative

Order the numbers from least to greatest. Put the lowest number on the left. 2.63 2.361 2.631​

Answers

Answer:

2.361, 2.63, 2.631.

Step-by-step explanation:

Hope this helps.

To the nearest foot, what is the height of the fireworks when they explode?

Answers

Answer:

87 feet1. You can find the  value of the vertex of the parabola as following: 2. Substitute values: a=-16 b=70 Then:  3. Substitute the value obtained into the equation given in the problem. Therefore, you obtain the following result: 4. To the nearest foot: h=87 feet

Step-by-step explanation:

#hopeithelpsstay safe and keep wellmark me as brain liest pls

I need help with this question

Answers

Answer:

O = 41 degrees

Step-by-step explanation:

the sum of all angles in a triangle is always 180 degrees.

the graphic shows that this triangle has 2 equal sides. that means that both angles at O and at M are equal.

so, we know all three angles and can calculate

7y + 2×(4y - 15) = 180

7y + 8y - 30 = 180

15y = 210

y = 14

so, the angle at O is

O = 4×14 -15 = 56 - 15 = 41 degrees

I need to find the value of x. I also need to show my work so if anyone answers this I need to know what the work is. Thank you!

Answers

Answer:

x = 8

Step-by-step explanation:

Given a tangent and a secant from an external point to the circle, then

The square of the tangent is equal to the product of the secants external part and the whole secant, that is

x² = 4(4 + 12) = 4 × 16 = 64 ( take the square root of both sides )

x = [tex]\sqrt{64}[/tex] = 8

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