A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting
parabola is (-6,3). What is the vertex of the function defined as
g(x) = f(x - 2) – 5?

Answers

Answer 1

Answer:

The vertex of g(x) is (-4, -2)

Step-by-step explanation:

Let's define general translations:

Vertical translation:

For a function f(x), a vertical translation of N units (So the whole graph of f(x) is translated N units in a given direction) is defined as:

g(x) = f(x) + N

such that:

If N is positive, the translation is upwards

if N is negative, the translation is downwards.

Horizontal translation:

Similar than before, for a function f(x) a horizontal translation of N units is written as:

g(x) = f(x + N)

Where, if N is positive, the translation is to the left

If N is negative, the translation is to the right.

Here, we have the transformation:

g(x) = f(x - 2) - 5

This is a transformation that moves the whole graph of f(x):

2 units to the right

5 units downwards.

So, if a point like (x, y) was in the graph of f(x)

After the translation, that point will be (x + 2, y - 5)

Then, if the original vertex was (-6, 3), the new vertex will be:

(-6 + 2, 3 - 5)

(-4, -2)

The vertex of g(x) is (-4, -2)


Related Questions

In a football game, a running back had 5 carries where he gained 12 yards each time and 3 carries where he lost 6 yards each time. how many total yards did the running back have during the game?

Answers

Answer:

I think the answer is 26

Step-by-step explanation:

In the question it said how many it total so 5 + 12 + 3 + 6 = 26

I hoped this helped!

Sorry if I'm wrong

9c+1 = 10
What is c?

Answers

Answer:

c=1

Step-by-step explanation:

9c+1 = 10

Subtract 1 from each side

9c+1-1=10-1

9c = 9

Divide by 9

9c/9 = 9/9

c = 1

please show your work

Answers

Answer:

52

Step-by-step explanation:

If JK bisects the angle, the two angles are equal

6x+2 = 8x-6

Subtract 6x from each side

6x-6x+2 = 8x-6x-6

2 = 2x-6

Add 6 to each side

2+6 =2x-6+6

8 =2x

Divide by 2

8/2 =2x/2

4 =x

Now find angle LJM, which is the sum of the two angles

6x+2 + 8x-6

14x -4

14*4-4

56-4

52

Answer:

D) 52

Step-by-step explanation:

since htere is an angle bisector that means that (6x+2) and (8x-6) are equal to each other

so

(6x+2)=(8x-6)

-6x         -6x

2=2x-6

+6    +6

8=2x

/2 /2

x=4

no you plug x back into one of the equations so

6(4)+2=26

now 26x2=52

अब पछताए होत कया जब चिडिया चुग गई खेत अनुचछेद लिखिए​

Answers

Step-by-step explanation:

Go to the Indian Brainly.

I am Indian.

pleaseeee helpppppppp its due now

Answers

Answer:

find AC and BC then check multiply their slopes

please help its easy but i dont remember the steps to do it

Answers

4 / 2 = 10 / m

2 = 10 / m

m = 10 / 2

m = 5

Answer:

5

Step-by-step explanation:

The ratios are equal to each other

pleasee helppp i have 15 assignments to finish plus a final exam in 4 hours !!

Answers

f(x) = square root of (-7 + 2) - 6

f(x) =square root of (-5) - 6

f(x) = 2.236 = 2.2 - 6

f(x) = -3.8

F(x) = √x+2 -6

F(x) = √7+2 -6

F(x) = 3-6

F(x) = -3

Which could be a graph which represents a quadratic that is a perfect square trinomial?

Answers

Answer:

D/#4 represents a quadratic that is a perfect square trinominal. :-D

George has to pay $30 in taxes for every $100 that he earns. Last summer, he earned $3680. How much did he pay in taxes?(must use direct proportion) pleaseee help

Answers

Answer:

$1,140

Step-by-step explanation:

Step 1: Set up a fraction and solve (We are doing this to make it simpler to solve. So let us use "x" to represent how much he paid in taxes. )

[tex]\frac{30}{100}=\frac{x}{3680}[/tex]

Step 2: Solve; Divide the given values (The given values are 100 over 30. We are doing this because we need to know the difference between those two figures.) (Trick: For this case, all you need to do is cancel both zeros and the answer is 0.3 once divided)

[tex]\frac{30}{100}[/tex]

Cancel both zeros

[tex]\frac{30}{100}\\\\= \frac{3}{10}[/tex]

Divide

[tex]\frac{3}{10}\\\\= 3 \div 10\\\\= 0.3[/tex]

Step 3: Multiply the result to the last value (Since we've found the difference between them by division, we will have to do the opposite operation in order to find the answer.)

[tex]0.3\\\\0.3 \times 3680\\\\=1140[/tex]

Therefore, George paid 1140 dollars in taxes last summer.

fractions are equal to 12 /18 is

Answers

Answer:

2/3

Step-by-step explanation:

Answer:

         2/3 =   4/6 =   6/9        =  8/12

= 10/15 = 12/18 = 14/21 = 16/24

= 18/27 = 20/30 = 22/33 = 24/36

= 26/39 = 28/42 = 30/45 = 32/48

= 34/51 = 36/54 = 38/57 = 40/60

= 42/63 = 44/66 = 46/69 = 48/72

= 50/75 = 52/78 = 54/81 = 56/84

= 58/87 = 60/90 = 62/93 = 64/96

= 66/99 = 68/102 = 70/105 = 72/108

= 74/111 = 76/114 = 78/117 = 80/120

= 82/123 = 84/126 = 86/129 = 88/132

= 90/135 = 92/138 = 94/141 = 96/144

= 98/147 = 100/150 = 102/153 = 104/156

= 106/159 = 108/162 = 110/165 = 112/168

= 114/171 = 116/174 = 118/177 = 120/180

= 122/183 = 124/186 = 126/189 = 128/192

= 130/195 = 132/198 = 134/201 = 136/204

= 138/207 = 140/210 = 142/213 = 144/216

= 146/219 = 148/222 = 150/225 = 152/228

= 154/231 = 156/234 = 158/237 = 160/240

= 162/243 = 164/246 = 166/249 = 168/252

= 170/255 = 172/258 = 174/261 = 176/264

= 178/267 = 180/270 = 182/273 = 184/276

= 186/279 = 188/282 = 190/285 = 192/288

= 194/291 = 196/294 = 198/297 = 200/300

Suppose the height of a ball in feet is given by the quadratic equation below, where T is in seconds. What expression will give the time when the ball reaches its maximum height? h=-16t^2+50t+8. Please look at the image for the available answers. Thank you.

Answers

Answer:

t = -50/(2 * (-16))

Step-by-step explanation:

For quadratics of the form

y = ax^2 + bx + c

the x coordinate of the vertex is

x = -b / 2a

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

h = -16t^2 +50t + 8

a = -16

b = 50

t at Vertex

t = -50/(2 * (-16))

Find the area of the triangle



Answers

Answer:

12 units2

Step-by-step explanation:

(6x4) /2 =12

Help me i just need this one

Answers

Answer:

x = 12

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of its opposite interior angles in a triangle

∠CBV is an exterior angle and ∠BCD and ∠CDB are ∠CBV's opposite interior angles

This means that ∠BCD + ∠CDB = ∠CBV

If we are given that ∠CBV = 9x - 3, ∠BCD = 5x + 15 and ∠CDB = 30

Then 9x - 3 = 5x + 15 + 30

                    ^ (Note that we just created an equation we can use to solve

                        for x )

We then use the equation we created to solve for x

9x - 3 = 5x + 15 + 30

step 1 combine like terms

30 + 15 = 45

we now have 9x - 3  = 5x + 45

step 2 add 3 to each side

-3 + 3 cancels out

45 + 3 = 48

we now have 9x = 5x + 48

step 3 subtract 5x from each side

9x - 5x = 4x

5x - 5x cancels out

we now have 4x = 48

step 4 divide each side by 4

48 / 4 = 12

4x / 4 = x

we're left with x = 12

Answer:

30+5x+15=9x-3

9x-5x =45+3

4x=48

x =12

Find an ordered pair that represents the vector from (-3.7,2) to (-4, -5).

a.
(-7.7,-3)

c.
(1.3,7)
b.
(-0.3,-7)
d.
(7.7,3)


Please select the best answer from the choices provided

A
B
C
D

Answers

Given:

A vector from (-3.7,2) to (-4, -5).

To find:

An ordered pair that represents the vector

Solution:

If [tex](x_1,y_1)[/tex] is the initial point and [tex](x_2,y_2)[/tex] is the terminal point of a vector, then ordered pair that represents the vector is:

[tex](x_2-x_1,y_2-y_1)[/tex]

A vector from (-3.7,2) to (-4, -5). So, the ordered pair that represents the vector is:

[tex](x_2-x_1,y_2-y_1)=(-4-(-3.7),-5-2)[/tex]

[tex](x_2-x_1,y_2-y_1)=(-4+3.7,-7)[/tex]

[tex](x_2-x_1,y_2-y_1)=(-0.3,-7)[/tex]

Therefore, the correct option is b, i.e., (-0.3,-7).

pleasee fast help me pleaseeeeeeeeee

In a class, one third of the students like badminton, three-fourth of the students like football, 5 out of 6 of
the students like volleyball, 60 like football and volleyball, 65 like volleyball and badminton,
17 like badminton and football, 20% of the students like all three games and 8 students don't like any
game. Draw a Venn-diagram and find the total number of students in the class.

Answers

Answer:

The answer is below

Step-by-step explanation:

Let B represent those that like badminton, F represent those that like football and V represent those that like volleyball. Let x represent the total number of people.

n(B) = (1/3)x, n(F) = (3/4)x, n(V) = (5/6)x

n(B∩F∩V) = 20% of x = 0.2x

n(B∩F) = 17, hence n(B∩F∩V') = 17 - 0.2x

n(V∩F) = 60, hence n(B'∩F∩V) = 60 - 0.2x

n(B∩V) = 65, hence n(B∩F'∩V) = 65 - 0.2x

n(B∪F∪V)' = 8

n(B∩F'∩V') = (1/3)x - 0.2x - (17 - 0.2x) - (65 - 0.2x) = 0.533x - 82

n(B'∩F∩V') = (3/4)x - 0.2x - (17 - 0.2x) - (60 - 0.2x) = 0.95x - 77

n(B'∩F'∩V) = (5/6)x - 0.2x - (60 - 0.2x) - (65 - 0.2x) = 1.033x - 125

Therefore:

x = n(B∩F'∩V') + n(B'∩F∩V') + n(B'∩F'∩V) + n(B∩F∩V) + n(B∩F∩V') + n(B'∩F∩V) + n(B∩F'∩V) + n(B∪F∪V)'

x = (0.533x - 82) + (0.95x - 77) + (1.033x - 125) + (0.2x) + (17 - 0.2x) + (60 - 0.2x) + (65 - 0.2x) + 8

x = 2.1166x - 134

1.1166x = 134

x = 120

Therefore there was 120 students

Pls help
Will give brainliest​

Answers

1, 1, sqrt 2
2, 2, sqrt 8
4, 4, sqrt 32
8, 8, 8 sqrt 2
1/2, 1/2, sqrt 1/2
sqrt 3, sqrt 3, sqrt 6
1/5, 1/5, (sqrt 2)/5

Help!! Please NO links or I will report you also NO fake answers!! Thanks. The image is above. ¡​

Answers

Answer:

second choice, 3 in³

Step-by-step explanation:

24×1/8=3 in³

I think it is 40, but I need some make sure I am right

Answers

Answer:

40 is the answer I also got 40

A person is 89-93 pounds depending on the day, 13 years old, and 5 foot tall. Is this an appropriate weight?​

Answers

Answer:

I don't think so cause average in my town is 100 to 109

Answer:

I don't think so

Step-by-step explanation:

¯\_(ツ)_/ i can't tell you

choose ALL the of the fractions that are equivalent .

a. 4/3 = 8/6

b. 9/6 = 5/3

c. 3/2 = 9/6

d. 5/3 = 10/6

e. 4/2 = 12/6

f. 6/3 = 1/2

Answers

Answer:

a)   c)   d)    e)

Step-by-step explanation:

a) cross-products are equal; 24 = 24

c) cross-products are equal; 18 = 18

d) cross-products are equal; 30 = 30

e) cross-products are equal; 24 = 24

Answer:

A. 4/3 = 8/6 C. 3/2 = 9/6 D. 5/3 = 10/6 E. 4/2 = 12/6

A sunflower grew 7 yards during the first week after it was planted. What is the height of the total sunflower in feet?

Answers

Answer:

21 feet

Step-by-step explanation:

Remember to get feet to yards, multiply the feet by 3 because there are 3 feet in one yard

in this case 7 × 3 = 21

And additionally to get yards to feet, divide by three because 1 yard = 3 feet

Mark as Brainliest

pLEASE I BEG OF U HELP - ill give brainliest

Answers

Answer:

123 cm²

Step-by-step explanation:

You add the sum of all the faces in the shape

Answer:

Step-by-step explanation:

8 x 9= 72…. 3 x 8= 24….  3 x 9= 27….  72 x 2= 144…. 24 x 2= 48…. 27 x 2= 54… 144 + 48+ 54 = 246.

therefor Your answer is 246 cm2

Sophie caught twice as many fish as her
dad. If her dad caught Ffish, how many
fish did Sophie catch?
A. F + 2
B. F-2
C. Fx 2
D. F/2

Answers

Answer:

C. F × 2

Step-by-step explanation:

Twice as many infers multiplication. Since Sophie caught twice as many as her dad, then we would multiply the number of her dad's caught fish by 2. The question states her dad's caught fish is represented by variable F so it would be:

F × 2

HELP ASAP
Solve the equation for x.
3x - 5x + 4 = 10 x =
PLEASE ANSWER STEP BY STEP

Answers

Answer:

X=-3

Step-by-step explanation:

3x-5x+4=10

-2x=6

x=-3

note:  I wasn’t sure if the equation ended in 10 or 10x. I think it ends at 10 so that is how I solved.

Help me QUICK
Picture included of the problem

Answers

I think it would be a and f :)

the diagram below shows the path a bird flies from the top of a 9.5 foot tall sunflower to a point on the ground 5 feet from the base of the sunflower. to the nearest tenth of a degree what is the measure of angle x?

Answers

Answer:

Step-by-step explanation:

HELLLLPPPPPPP PLEASEEEEEE BEGGGGI G SOMEONE PLEASEEEEEEEEE

Answers

Answer:113

Step-by-step explanation:

Please help with this and find all 18 missing angles quick
20 points

Answers

Answer:

1. 128

2. 136

3. 128

4. 52

5. 44

6. 136

7. 84

8. 96

9. 96

10. 84

11. 128

12. 52

13. 44

14. 136

15. 52

16. 128

17. 136

18. 44

A rectangle is to be drawn with perimeter 64cm. If the length is to be 14cm more than the width, determine the are of the rectangle.

Please use system of linear equations by elimination OR substitution. I need the work as well please.

Answers

P = 64 cm

2(( x + 14) + x) = 64

2x + 28 + 2x = 64

4x + 28 = 64

4x = 64 - 28

4x = 36

x = 36/4

x = 4

width = 4

lenight = 18

area = l x b

area = 18 x 4

area = 72

Pls help! Pls pls pls

Answers

Answer:

38

Step-by-step explanation:

Complement means that the 2 angles add up to 90 so:

x + 52 = 90

x = 90 - 52

x = 38

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