Graph the quadratic function by transforming the graph of f(x) = x^2. Give the minimum or maximum
vertex value and the equation for the axis of symmetry.

Answers

Answer 1

For the function g(x) we have:

Maximum y = 5Vertex (-2, 5)Axis of symmetry: x = -2.

How to find the graph of g(x)?

The function g(x) is given by applying transformations to f(x), the transformations are:

A reflection: g(x) = -f(x)A translation of 2 units to the left: g(x) = -f(x + 2)A translation of 5 units up: g(x) = -f(x + 2) + 5

The function is:

[tex]g(x) = -(x + 2)^2 + 5[/tex]

The graph is the one you can see below:

There you can see that the vertex is at (-2, 5), then the line of symmetry is:

x = -2.

And we have a maximum at the vertex, which is y = 5.

If you want to learn more about quadratic equations:

https://brainly.com/question/1214333

#SPJ1

Related Questions

What is the line of reflection for the trapezoids?

On a coordinate plane, trapezoid A B C D has points (5, 4), (6, 4), (8, 3) and (5, 3). Trapezoid A prime B prime C prime D prime has points (1, 4), (0, 4), (negative 2, 3), (1, 3).

Answers

Answer:I believe it’s A(x=3)

Step-by-step explanation:

Help plsss!!!! Thnk you!!!!

Answers

Step-by-step explanation:

General quadratic equation: y = ax² + bx + c.

When x = 0, y = -3.

=> (-3) = a(0)² + b(0) + c, c = -3.

We now have y = ax² + bx - 3.

When x = 2, y = -4.

=> (-4) = a(2)² + b(2) - 3, 4a + 2b - 3 = -4,

4a + 2b = -1.

Our 1st system of equations is 4a + 2b = -1.

When x = 4, y = -3.

=> (-3) = a(4)² + b(4) - 3, 16a + 4b - 3 = -3,

16a + 4b = 0, 4a + b = 0.

Our 2nd system of equations is 4a + b = 0.

Now we solve the system of equations:

4a + 2b = -1

- (4a + b = 0)

=> b = -1

Hence 4a + (-1) = 0, 4a = 1, a = 1/4. (B)

In triangle ABC, point D is the centroid, and BD = 6. Find BE.

Answers

Given:

In triangle ABC, point D is the centroid, and BD = 6.

To find:

The measure of side BE.

Solution:

We know that the centroid divides each median in 2:1.

In the given figure BE is a median and point D is the centroid. It means point D divides the segment BE in 2:1.

Let BD and DE are 2x and x respectively.

We have, BD = 6 units.

[tex]2x=6[/tex]

[tex]x=\dfrac{6}{2}[/tex]

[tex]x=3[/tex]

Now,

[tex]BE=BD+DE[/tex]

[tex]BE=6+x[/tex]

[tex]BE=6+3[/tex]

[tex]BE=9[/tex]

Therefore, the measure of side BE is 9 units.

retail price= $120
markup percent= 40%
what is the original cost

Answers

I believe it would be 72

What is the average rate of change of g over the interval [-2,4]

Answers

Answer:

Average = sum of all the observations

Total number of observations

Average = 2+4

Average = - 6

Question:
A soccer ball has a radius of 11 cm. What is the volume of the soccer ball in cubic centimeters? Use 3.14 for pi. Round your
answer to the nearest hundredth.

Answers

Answer:

V = 4/3 * pi * radius^3

= 4/3 * 22/7 * 11*11*11 = 117128/21 = 5577.5238092.....

Step-by-step explanation:

Please help me solve this

Answers

Answer:

Q. 11 x=29

Q. 12 x=24

Step-by-step explanation:

Q.11

sum of all sides of triangle = 180°

(2x+20)+(x+10)+(2x+5)=180°

5x+35=180°

5x=180°-35

5x=145°

x=145/5

x=29°

Q.12

sum of all sides of triangle=180°

96+(2x)+(x+12)=180°

3x+108=180°

3x=180-108

3x=72

x=72/3

x=24

What he said is correct

Factorise fully
X^2 - 25

Answers

Answer:

(x+5)(x-5)

Step-by-step explanation:

x^2-25 = x^2 - 5^2 = (x+5)(x-5)

rule: a^2 - b^2 = (a+b)(a-b)

Please I need help.
Find the measure of the angle DCB in the rhombus ABCD.

Answers

Answer:

Step-by-step explanation:

its the same to DAB because it is in the opposite side to the DAB

Answer:

Step-by-step explanation:

In Rhombus, diagonals are angle bisectors.

So, ∠DAC = ∠CAB

∠A = ∠DAC+∠CAB

= 53 + 53

∠A = 106

In Rhombus, opposite angles are equal.

∠DCB = ∠A

∠DCB = 106°

[tex] {n}^{6} \times \frac{4}{25} {n}^{2} \times \frac{5}{4} {n}^{3} \times n[/tex]

Answers

Step-by-step explanation:

reduce the numbers by solving and add the powers

4 Mr. Von's 5th-grade class is going on a field trip. Each
student is given a name card to wear that is 1/4 foot wide 1/3 foot long

1/4foot x 1/3 foot = square foot

Answers

1/12 square feet is the correct answer1/4 x 1/3 = 1/12Please let me know if I am wrong.

Answer:

the answer is 1/12 square foot

Step-by-step explanation:

EXERCISE 6.1
1. What will be the unit digit of the squares of the following numbers?
(i)81 -
(ii) 272 -
(iii) 799 -
(iv) 3853 -
(v) 1234 -
(vi) 26387-
(vii) 52698
(vii) 99880
(ix) 12796
(x) 55555-

Answers

Unit digit of a square of a number is equal to the unit digit of square of unit digit of that number.
So,
(i)81
- Unit digit of square of 81
will be 1
.
(ii)272
- Unit digit of square of 272
will be 4
.
(iii)799
- Unit digit of square of 799
will be 1
.
(iv)3853
- Unit digit of square of 3853
will be 9
.
(v)1234
- Unit digit of square of 1234
will be 6
.
(vi)26387
- Unit digit of square of 26387
will be 9
.
(vii)52698
- Unit digit of square of 52698
will be 4
.
(viii)99880
- Unit digit of square of 99880
will be 0
.
(ix)12796
- Unit digit of square of 12796
will be 6
.
(x)55555
- Unit digit of square of 55555
will be 5

.

Is one-half of a square smaller than one-quarter of the same square? How do you know?

Answers

Answer:

Step-by-step explanation:

one-half is bigger than one-quarter of the same square

(Grade 7 math) What is the area of the triangle when b=3.5 and h=3? B is the base and h is the height

Answers

Answer:

The area of the triangle

A = 5.25 square units

Step-by-step explanation:

Explanation:-

Given that the base of the triangle(b) = 3.5

The height of the triangle(h) = 3

The area of the triangle

[tex]A = \frac{1}{2} base X height[/tex]

[tex]A = \frac{1}{2} (3.5) (3)[/tex]

A = 5.25 square units

A car travels at an average speed of 68 miles per hour. How many miles does it travel in 5 hours and 45 minutes?

Answers

Answer:

391.

Step-by-step explanation:

There is 60 minutes every hour, so you divide by 60. 68 / 60 = 1.1333333333.

Now, we have to find out how many minutes there are in 5 hours and 45 minutes. Since there is 60 minutes every hour, 6 x 5 + 45 = 300 + 45 = 345. 1.1333333333 x 345 = 390.9999999885, rounded = 391.

possible number of learners in the
in a village, the bell rings every 30 minutes at the Junior School and every 40
minutes at the High School Both schools start lessons at 8:00 am
At what times between 8.00 am and 2.30p.m do the bells both rring

Answers

Find multiples of 30 and 40:

30: 30, 60, 90, 120, 150

40: 40, 80, 120, 160

The least common multiple is 120, so every 120 minutes they willl both ring.

1 hour = 60 minutes:

120/60 = 2 hours.

The bells ring together every 2 hours.

8 + 2 = 10 am

10 + = 12pm

12 + 2 = 2 pm

The bells will ring together at am, 12 pm and 2 pm.

Answer:

Solution :-

At first common multiple of 30 an 40

[tex] \sf \to \: 30 = 30,60,90,120[/tex]

[tex] \sf \to \: 40 = 40,80,120[/tex]

Common Multiple = 120

Time taken = 120/60 = 2 hrs

Now,

8.00 + 2 = 10.00 am

10.00 + 2 = 12.00 noon

12.00 + 2 = 2.00 pm

[tex] \\ [/tex]

just answer please hurry

Answers

Answer:

2.7 pages and 1.7 pounds of rice

Step-by-step explanation:

2.7 pages in one minute because 27/10=2.7

and 1.7 pounds of rice can be purchased for a dollar because 15/9 is about 1.7

3 1183 long division

Answers

= 394 R 1

= 394 1/3

1183 divided by 3 equals
394 with a remainder of 1

There was an activity planned outdoors, but it started to rain. They took a vote and 45 people of the 60 people wanted to stay inside. The other 15 people voted to go outside in the rain. What percent of the class wants to go outside? Round to the nearest percent if needed.

Answers

Answer:

15/60×100=25%

Step-by-step explanation:

the number of students wanted to go outside/the whole number of students×100

15/60×100=25%

Rhea earned P9,876.88 a month while Jane earned P10,675.50. How much more did Jane earn month than Rhea?
1. What is asked in the problem?
2. What are the given facts?
3. What is the operation to be used?
4. What is the number sentence?
5. What is the correct answer

Answers

Don’t worry someone will come along and help you. Good luck and I hope you get it right

Factorise x²+8x+12plz give answer

Answers

Answer:

(x+6)(x+2)

Step-by-step explanation:

we have

ax²+bx+c

To factor parabolas we need to find a number that adds to b (or 8) and mulitplies to a*c (or 12)

The numbers 6 and 2 fit this criteria which means we have

(x+6)(x+2)

Answer:

i.d.k the answer so sorry

Step-by-step explanation:

knkn

its a screen shot do do do doooo

Answers

Depends on what pi is.

It could be

50.24 yards (pi is rounded)

16π yards

9° TERMINO DE 7.10.13

Answers

Answer:

djkdjdjfifkflkfkfuiririrkrkkr kfkrkrkrlrlrlrlrlrlfkkrkfllrkrkrkkrkfkkfkkrkrkrkkrkrkkr krkrkkkkrkfkkkkfkrkkfkfkfkkf ir rkkfikriffiriifi

Answer:

Evaluate

18 ER TM×2,130

Find the area of the triangle.

Answers

Answer:

86.1yd

Step-by-step explanation:

area of a triangle= base*height/2

21*8.2=172.2

172.2/2=86.1

Answer:

86.1yd2

Step-by-step explanation:

area=1/2×b×h

a=1/2×21×8.2

a=86.1yd2

Calculate the slope of the line that contains the points (-3, -2) and (7, 2)

Answers

Answer:

the slope= 2/5

the slope is 2/5

use the formula (y2-y1)/(x2-x1) to get the slope

Calculate the area of a kite that has diagonals that measure 6 centimeters and 8 centimeters.

Answers

9514 1404 393

Answer:

24 cm²

Step-by-step explanation:

When the diagonals of a quadrilateral cross at right angles, the area of it is half their product.

A = (1/2)(d1)(d2)

A = (1/2)(6 cm)(8 cm) = 24 cm²

The area of the kite is 24 square centimeters.

Help me please and thank you

Answers

True for one value: -1

True for no values: 0

True for all values: 5

Pls help me with this my sister’s going to take my phone in 10 minutes and I will give brainleast

Answers

Answer:

What are the closer two numbers together the then you find the slope

Step-by-step explanation:

Answer:

1x-6

Step-by-step explanation:

Slope Form: Mx+b

Slope Formula: y2-y1/x2-x1

(4,-2) (5,-1)

-1-(-2)= 1

5-4=1

1/1=1

Y-intercept: -6

Hope this helps!

Need help with math question 8th grade math

Answers

Answer:

Step-by-step explanation:

I am also in 8th grade, anyways

x reprsents = 30 nickles

y represents = $1.02.

I am very sorry i do not know EQ1 and EQ2, but hopefully this is helpful!

Answer:

Step-by-step explanation:

x reprsents = 30 nickles

y represents = $1.02.

Determine the value of y, if x is-9.

Answers

Answer:

[tex]y=82[/tex]

Step-by-step explanation:

We know the value of x is -9 so we can plug it in as -9.

[tex]y=x^2+1\\y=(-9)^2+1\\y=81+1\\y=82[/tex]

Answer:

82=y

Step-by-step explanation:

-9 x -9 = 81

81 + 1 = 82

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Graph the quadratic function by transforming the graph of f(x) = x^2. Give the minimum or maximum vertex value and the equation for the axis of symmetry.

Answers

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Graph the quadratic function by transforming the graph of f(x) = x^2. Give the minimum or maximum
vertex value and the equation for the axis of symmetry.