The quadratic function f has a vertex at (3,4) and opens upward. The quadratic function g is shown below. Which statement is true? A. The minimum value of g is greater than the minimum value of f. B. The maximum value of g is greater than the maximum value of f. C. The minimum value of f is greater than the minimum value of g. D. The maximum value of f is greater than the maximum value of g.

Answers

Answer 1

Answer:

The minimum value of f(x) is greater than the minimum value of g(x).

Step-by-step explanation:

Given

[tex](h_1,k_1) = (3,4)[/tex] --- vertex of f(x)

[tex]g(x) = 4(x - 4)^2 + 3[/tex] --- g(x) equation

Required

Which of the options is true

First, we identify the vertex of g(x)

A quadratic function is represented as:

[tex]g(x) =a(x - h)^2 + k[/tex]

Where:

[tex](h,k) \to[/tex] vertex

So, we have:

[tex](h_2,k_2) = (4,3)[/tex]

[tex]a = 4[/tex]

If [tex]a>0[/tex], then the curve opens upward

From the question, we understand that f(x) also open upward. This means that both functions have a minimum

The minimum is the y (or k) coordinate

So, we have:

[tex](h_1,k_1) = (3,4)[/tex] --- vertex of f(x)

[tex](h_2,k_2) = (4,3)[/tex] --- vertex of g(x)

The minimum of both are:

[tex]Minimum = 4[/tex] ----  f(x)

[tex]Minimum = 3[/tex] ----  g(x)

By comparison:

[tex]4 > 3[/tex]

Hence, f(x) has a greater minimum

Answer 2

Answer:

The minimum value of f(x) is greater than the minimum value of g(x).

Step-by-step explanation:


Related Questions

The cost of wire sold by the Thor Company is shown in the graph. What is the cost of wire per foot?

1. $0.20
2. $1.25
3. $4.00
4. $5.00​

Answers

111111101010100110

Step-by-step explanation:

es 125

2cos pi/16* cos 11pi
/6* cos pi/4*cos 3pi/8

Answers

Answer:

0.00065104166

Step-by-step explanation:

Y'ALL PLEASE HELP ME I WOULD GREATLY APPRECIATE IT!!!!!:)!!!!!!

Find the measure of angle TOS in the figure below. SHOW YOUR WORK SO I CAN SEE HOW YoU GOT IT!!!!

Answers

Step-by-step explanation:

<TOS=122° [being vertically opposite angle]

Answer:

angleTOS =122°

EXPLANATION:

[ If two straight lines intersect at point O, vertically opposite angles are equal]As vertically opposite angles are equal; Hence AngleTOS=QOR=122°

Help anyone can help me do this question,I will mark brainlest.​

Answers

Circumference of a circle = 2πr

So,

[tex]circumference = 2\pi \: r \\ = > circumference = 2 \times \frac{22}{7} \times \frac{63 \: cm}{2} \\ = > circumference = 2 \times \frac{11}{7} \times 63 \: cm \\ = > circumference = 2 \times 11 \times 9 \: cm \\ = > circumference = 198 \: cm[/tex]

Answer: Therefore, the circumference of circle is 198 cm.

Step-by-step explanation:

diameter = 63 cm

radius = 63/2 = 31.5 cm

circumference = ?

circumference or perimeter of circle = 2*pi*r

= 2*(22/7)*31.5

= (44/7)*31.5

= 198 cm

6.8 - 4.2b = 5.6b - 3

Answers

Answer: b = 1

Step-by-step explanation:

Given

6.8 - 4.2b = 5.6b - 3

Add 4.2b on both sides

6.8 - 4.2b + 4.2b = 5.6b - 3 + 4.2b

6.8 = 9.8b - 3

Add 3 on both sides

6.8 + 3 = 9.8b - 3 + 3

9.8 = 9.8b

Divide 9.8 on both sides

9.8 / 9.8 = 9.8b / 9.8

[tex]\boxed{b=1}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

B=1 !!!! Hope you got that right

Ngoài hình tròn thì Hình nào có vô số trục đối xứng

Answers

Answer:

Step-by-step explanation:

what

Answer:

that language is this

Step-by-step explanation:


HELLPP ASAP PLS, FIRST PERSON TO ANSWER CORRECTLY GETS BRAINLIEST


Draw the image of quadrilateral ABCD when translated by the directed line segment v. Label the image of A as A', the image of B as B', the image of C as C' and the image of D as D'.

Answers

Answer:

Step-by-step explanation:

this may or may not be right but I tried my best

Find the length of x. Assume the triangles are similar.

A. 25
B. 12
C. 20
D. 19

Answers

Answer:

C=20

Step-by-step explanation:

The value of x is 20. so option C is correct.

What are corresponding sides?

In literal sense, corresponding means pair wise sides. Like the right corner sides of two triangles etc.

For two similar figures, the pair by pair similar sides of those two similar figures are called corresponding sides. They are of same measurement.

Find the length of x. Let Assume the triangles are similar.

x/ 12 = 10/ 6

Cross multiplication;

x/ 12 = 10/ 6

x = 12 ( 10/ 6)

x = 20

Hence, the value of x is 20. so option C is correct.

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WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART

PLEASE GIVE EXPLANATION

Answers

Answer:

C

Step-by-step explanation:

Given f(x) = - 3/4x + 2, find f(16).

Answers

Answer:

-10

Step-by-step explanation:

sequence of number - 25,23,20,16
find next three term
do with process​

Answers

Answer:

11,5,-2

is the answer. I hope it will help you.

A school library charges a fine of 5 cents on the first day a book is overdue, then doubles the amount owed each day until payment is made. Jada and Juan each had a book that was overdue. Juan returned his book on the 5th day it was overdue. Jada paid a fine that was $2.40 more than Juan’s fine.

Which statement about the overdue books is true?
Jada’s book was overdue by 1 more day than Juan’s book.
Jada’s book was overdue by 2 more days than Juan’s book.
Jada’s book was overdue by 24 more days than Juan’s book.
Jada’s book was overdue by 48 more days than Juan’s book.

Answers

Answer:

Jada's book was overdue by 1 more day than Juan's book.

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

Answer:its A

Step-by-step explanation:

i took the quiz

can you please tell me the answer I don't know ​

Answers

Answer:

1)

=6-15+7

=6-22

=-16 answer

2)

=7×40/5

=Then,7×8

=56 answer

There are 170 students in year 7 at a school
All of these students either walk to school, get the bus to school or cycle to school.
82 of the students are boys
33 of the students get the bus to school.
19 of the 41 students that walk to school are boys.
56 girls eyele to school.
Complete the two way table.
Walk
Bus
Cyele
Total
Boy's
Girls
Total

Answers

Answer:

            Boys          Girls               Total

Walk      19              22                   41

Bus        23              10                   33

Cycle     40             56                   96

Total      82              88                  170

please answer this question​

Answers

Answer to the question would be 5

Describe how two column and flowchart proofs are similar?

Answers

Answer:

Proofs begin with one or more given statements, which are provided. ... In a two column proof, the statements are written in one column, and the reasons are written next to them in a second column. A flow proof uses a diagram of to show each statement leading to the conclusion

Step-by-step explanation:

Which is the initial value that shrinks an exponential growth function by 50%? One-fifth One-fourth One-third One-half

Answers

Answer:

One-half

Step-by-step explanation:

Given

Exponential function

Required

The initial value that shrinks the function by [tex]50\%[/tex]

An exponential function is represented as:

[tex]y = ab^x[/tex]

Where the growth function is:

[tex]r = b^x[/tex]

[tex]a \to[/tex] initial value

For the growth function to shrink by x%, then:

[tex]a =1 - x\%[/tex]

In this case; x = 50. So, we have:

[tex]a =1 - 50\%[/tex]

Express as fraction

[tex]a =1 - \frac{50}{100}[/tex]

Take LCM

[tex]a =\frac{100 -50}{100}[/tex]

[tex]a =\frac{50}{100}[/tex]

Reduce fraction

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

Answer:

It's D on edge :D

Step-by-step explanation:

Do radical expressions with the same degree and the _____ are called like terms.

Answers

Answer:

The answer is A - Radicand.

Hope that helps!

(w + 4)(w2 + 3 w-6)
find the product.

Answers

Answer:

6w+2

Step-by-step explanation:

Answer:

w^3 + 7w^2 + 6w - 24

Brainliest, please!

Step-by-step explanation:

(w + 4)(w^2 + 3w - 6)

w^3 + 3w^2 - 6w + 4w^2 + 12w - 24

w^3 + 7w^2 + 6w - 24

Help plzzzz!!!!!!! thank you .

Answers

Answer:

120°

Step-by-step explanation:

<U + <T = 180

or, 6x-6+9x+21=180

or, 15x=165

or, x=11

so, <T = 9×11+21 = 120

Question 1
Is the expression x^3• x^3•x^3 equivalent to x^3•3•3 ? Why or why not? Explain your reasoning.

Answers

Answer:

No

Step-by-step explanation:

x^3• x^3•x^3

We add the exponents

x^(3+3+3) = x^9

x^3•3•3 x^3 *9

9x^3

These are not equal unless

x^9 = 9x^3

Given that B is the midpoint of segment AC. BC = 14x -26 and AB = 6x +6,
find the value of x.*

Answers

∵B is the midpoint of segment AC
∴BC=AB
∴14x-26=6x+6
14x-6x=6+26
8x=32
x=4

Hope my answer helped u :)

Which of the lists of letters all have rotational symmetry?

1, (C, H, N, X)
2, (N, O, S, Z)
3, (H, J, N, S)
4, (F, H, X, Z)
(No explanation is needed but it would be helpful)

Answers

Answer:

The alphabets Z, H, S, N and O have rotational symmetry.

write the mixed numbers as fractions
1/1/2

Answers

Answer:

3/2

Step-by-step explanation:

Please hurry I will mark you brainliest
1. Explain a situation where you would expect to have a partial variation.
What makes this example a partial variation?

2. Explain a situation where you would expect to have a direct variation.
What makes this example a direct variation?

You can include a diagram/graph in your explanation if you wish.

Answers

Answer:

Here's the answers

Step-by-step explanation:

1. When two variables are in relation with a formula or a variable is related by the sum of two or more variables, then it is a partial variation. X = KY + C (where K and C are constants) is a straight line equation which is an example of partial variation.

2. The formula y=kxn y = k x n is used for direct variation. The value k is a nonzero constant greater than zero and is called the constant of variation.

2(x-y)(x+y)+(x+y)*2+(x-y)

Answers

Answer:

2 x ^2 − 2 y^ 2  +  3 x  +  y

Step-by-step explanation:

Help please............./..

Answers

Answer:

D

Step-by-step explanation:

Topic: Differential Calculus; limit of a function

Answers

Answer:

umm answer is 3 i think is this right?

0

Use the quadratic formula to find the solution to the quadratic equation given
below.
x2-3x+
3x + = 0

Answers

Answer:

Is E

explanation:

Round 71.916476787 to 1 decimal place.

Answers

Answer:

71.9

Step-by-step explanation:

Whenever you want to round a number to a particular digit, look only at the digit immediately to its right. For example, if you want to round to the nearest tenth, look to the right of the tenths place: This would be the hundredths place digit. Then, if it is 5 or higher, you get to add one to the tenths digit.

After rounding 71.916476787 to 1 decimal place we get 71.9.

What is rounding of numbers ?

We round numbers to get an approximate value of the given number in more compact form and which is easy to work with.

According to the given question we have to round 71.916476787  to 1 decimal place.

So, to round 71.916476787 to 1 decimal place we'll look at the digit of 2 decimal place here in this number it is 1 hence it is less than 5 so we can make all the digits after 1 decimal places zero and rewrite this number as

71.900000000 and we know zeroes are meaning less to the right of the decimal so this can be written as 71.9.

learn more about rounding of numbers :

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