how does the equation h(x)=-(x,-3)2 + 4 compare to the graph of g(x)=x2?

How Does The Equation H(x)=-(x,-3)2 + 4 Compare To The Graph Of G(x)=x2?

Answers

Answer 1

Answer:

option A

Step-by-step explanation:

The curve h(x)=-(x,-3)2 + 4 has a negative coeff for the degree e term. So the curve ud opened downward

To express the function in normal form,

H = -SQ(X) + 6X - 5

So the y intercept is -5

To find the roots of H

H = -SQ(X) + 6X - 5

(x-1)(x-5) = 0

so the curve has x intercept at 1 and 5

Thus the max point is at x=3

so the curve is shift right by 3 units

{ the function g(x)=x2 has turning point (0, 0) }

since the max point is at x=3, sub x=3 into the function H,

the max point is (3, 4)

So the function H is shift up by 4 unit


Related Questions

which linear inequality is represented by the graph

Answers

Answer:

Step-by-step explanation:

Rachel draws a trend line through the following data
points. Did she draw the line correctly?

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Answer:

i think its A but im not sure its correct

Step-by-step explanation:

Which of the following statements is false? PLEASE HELP ASAP!

Answers

Answer:

C

Step-by-step explanation:

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___

A. 92, 66, 28

B. 1024, 2048, 4096

C. 64, 32, 16

D. 32, 8, 2

Answers

Answer:

C. 64, 32, 16

Step-by-step explanation:

This geometric sequence is made by dividing the numbers by 2:

512 ÷ 2 = 256

256 ÷ 2 = 128

Hence, the next term will be

128 ÷ 2 = 64

64 ÷ 2 = 32

32 ÷ 2 = 16

Therefore, the correct answer is C.

The next 3 terms in the given geometric sequence are 64, 32, and 16, respectively. The correct option is C.

What is geometrical series?

A geometric series is the collection of an unlimited number of terms with a fixed ratio between them.

The given series is a geometric sequence, therefore, the common ratio between any two terms will be the same. Therefore, we can write, the ratio as,

Common ratio, r = a₂ / a₁ = 256 / 512 = 1/2

Now, the nth term of the given sequence can be defined as,

aₙ = a₁ × r⁽ⁿ⁻¹⁾

   = 512 × (1/2)⁽ⁿ⁻¹⁾

Therefore, the next term of the given geometric progression will be,

a₄ = 512 × (1/2)³ = 64

a₅ = 512 × (1/2)⁴ = 32

a⁶ = 512 × (1/2)⁵ = 16

Hence, the next 3 terms in the given geometric sequence are 64, 32, and 16, respectively.

Learn more about Geometrical Series here:

https://brainly.com/question/4617980

#SPJ2

P, Q & R form a right-angled triangle.
R, S & P lie on a straight line.
PS = SQ and ∠SQR = 36°.
Work out
∠RPQ

Answers

Answer:

∠RPQ = 27

Step-by-step explanation:

In ΔSRQ,

∠R = 90

∠SQR = 36°

∠R + ∠SQR + ∠RSQ = 180    {Angle sum property of triangle}

90 + 36 + ∠RSQ = 180

126 + ∠RSQ = 180

         ∠RSQ = 180 - 126

        ∠RSQ = 54°

∠PSQ +∠RSQ = 180   {Linear pair}

∠PSQ + 54 = 180

 ∠PSQ = 180 - 54

∠PSQ = 126

In ΔPSQ,

SQ = PS ,

So, ∠SQP = ∠SPQ    {Angles opposite to equal sides are equal}

∠SQP = ∠SPQ   =x

∠PSQ + x +x = 180  {Angle sum property of triangle}

126 + 2x = 180

2x = 180 - 126

2x = 54

x = 54/2

x = 27

∠RPQ = 27°

PQ, QR, RS, and SP are tangent to ⨀ X. Find RS.

Answers

Answer:

Step-by-step explanation:

Please solve the following simultaneous equations.
3 + y - 2x = 0
3x2 + 2y2 – 4xy = 9​

Answers

Answer:

(3, 3) (1, -1)

Step-by-step explanation:

Answer:

(1, - 1) , (3, 3 )

Step-by-step explanation:

Given the 2 equations

3 + y - 2x = 0 → (1)

3x² + 2y² - 4xy = 9 → (2)

In (1) subtract 3 - 2x from both sides

y = 2x - 3 → (3)

Substitute y = 2x - 3 into (2)

3x² + 2(2x - 3)² - 4x(2x - 3) = 9 ← distribute and simplify left side

3x² + 2(4x² - 12x + 9) - 8x² + 12x = 9

3x² + 8x² - 24x + 18 - 8x² + 12x = 0

3x² - 12x + 18 = 9 ( subtract 9 from both sides )

3x² - 12x + 9 = 0 ( divide through by 3 )

x² - 4x + 3 = 0 ← in standard form

(x - 1)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 3 = 0 ⇒ x = 3

Substitute these values into (3) for corresponding values of y

x = 1 : y = 2(1) - 3 = 2 - 3 = - 1 ⇒ (1, - 1 )

x = 3 : y = 2(3) - 3 = 6 - 3 = 3 ⇒ (3, 3 )

please I need this question fast please​

Answers

We have a linear function y=kx+b and we know that                                                       [tex]\displaystyle\bf \left \{ {{5*1+c=2} \atop {5p+c=-2}} \right.=>\left \{ {{c=-3} \atop {5p+c=-2}} \right. => 5p-3=-2 => p=\frac{1}{5}[/tex]                                       [tex]\displaystyle\bf Answer: \boxed{C) \quad p=\frac{1}{5} }[/tex]                            

Find f(4) if f(x) = 3x + 13

Answers

We are given the linear function below:

[tex] \large{f(x) = 3x + 13}[/tex]

To find f(4), simply substitute x = 4 in the equation.

[tex] \large{f(4) = 3(4) + 13} \\ \large{f(4) = 12 + 13} \\ \large \boxed{f(4) = 25}[/tex]

Answer

f(4) = 25

find the product (9x+9)(x+2)

Answers

Answer:

9x^2 + 27x + 18

Step-by-step explanation:

(9x + 9)(x + 2)

=9x(x + 2) +9(x + 2)

=9x^2 + 18x + 9x + 18

=9x^2 + 27x + 18

A = (-123) + 77 + (-257) + 23 – 43

Answers

Answer:

[tex]A=-323[/tex]

Step-by-step explanation:

A = (-123)+77+(-257)+23-43

A = -46+(-257)+23-43

A = -303+23-43

A = -280-43

A = -323

Hope this helps

y-5 = -3 (x+2) in standard form

Answers

Answer:

maybe y - -3x = -11?

Step-by-step explanation:

im rushing so i may have did it wrong sorry

Solve question no. A and B​

Answers

Answer:

Mean A=7

median B=3/4 .75

Answer:

Step-by-step explanation:

mean = sum of data / no of data

= 4+7+5+9+11+6 /6

=42 / 6

=7

mean = 7

to find median arrange the data from ascending to descending order

Data = 3,4,6,8,10,12

median = (N +1) /      (N means no of data)

=(6 +1) / 2

=7/2

=3.5

= 3 rd term + 4 th term / 2

=6 + 8 / 2

=14 / 2

=7

median = 7

2) through:(-1,-1), slope = -4

Answers

? Hm maybe the slope would be -4 over 1

In ΔNOP, the measure of ∠P=90°, NP = 35, ON = 37, and PO = 12. What ratio represents the sine of ∠N?

Answers

Answer:

12/37

Step-by-step explanation:

SOH - CAH - TOA

O = opposite

A = adjacent

H = hypotenuse

Sin = O/H

Sin N = 12/37

Answer:Find sin N

sinN=

hypotenuse/opposite

​12/37

Step-by-step explanation:

Which is the Value if this expression when m = 3 and n = -5 ​

Answers

what’s the expression?

Anyone know the answer to this ??

Answers

Answer:

18 i think sorry if i am wrong

Step-by-step explanation:

Question 2 Multiple Choice Worth 1 points)
(01.04 LC)
Choose the missing step in the given solution to the inequality -X – 10 > 14 + 2x.
-X - 10 > 14 + 2x
-3x - 10 > 14
X<-8

Answers

Answer:

see below

Step-by-step explanation:

-X – 10 > 14 + 2x.

Subtract 2x from each side

-x-2x -10 > 14+2x-2x

-3x -10 > 14

Add 10 to each side

-3x -10+10 > 14+10

-3x > 24

Divide each side by -3, remembering to flip the inequality

-3x/-3 < 24/-3

x < -8

Evaluate the expression. r = <5, 9, -4>, v = <3, 3, -8>, w = <9, -6, -1> v ⋅ w (5 points)
<-15, -27, -32>
0
17
<27, -18, 8>

Answers

Answer:

s

Step-by-step explanation:

find the subsets of ( S,Q,L,R)​

Answers

Answer:

{}, {s} {q} {l} {r} {s,q} {s, l} {s, r} {q, l} {q, r} {l, r} {s, q, l} {s,l,r} {s, q, r} {q, l, r} {s, q, l, r}

i don’t understand how to find the number that goes into the blank box.

Answers

Answer:

8

Step-by-step explanation:

It asks for the y-intercept. The y-intercept is (0,?) the slope is -3 which means it's decreasing by 3. 5+3=8 so 8 is the y-intercept.

Hope this helps and pls tell if it's correct.

Need help seriously

Answers

It’s not hard bro you gotta lean probability it’s really easy

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Vowels: A, E, I, O, U

There are only 2 vowels out of 8 on the spinner, which means that 6 out of 8 aren't vowels.

[tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]

Hope this is helpful

PLEASE HELP!! I’ve added an attachment. Please help me find the type of statement for this mathematical question. TYSM!!

Answers

Answer:

Step-by-step explanation:

             Statements                                  Reasons

1). AD ≅ BC                                           1). Given

2). ∠D ≅ ∠C                                          2). Given

3). ∠DEA ≅ ∠CEB                                 3). Vertically opposite angles

4). ΔADE ≅ Δ BCE                                4). AAS postulate of congruence

5). AE ≅ BE                                           5). CPCTC

Hence, proved.

solve the equation (1÷49)^x + 2 =(7)^x - 3​

Answers

9514 1404 393

Answer:

  x = -1/3

Step-by-step explanation:

Maybe you mean ...

  (1/49)^(x +2) = 7^(x -3)

Taking logarithms base 7, we have ...

  -2(x +2) = x -3

  -2x -4 = x -3 . . . . . eliminate parentheses

  -1 = 3x . . . . . . . . . . add 3+2x

  x = -1/3 . . . . . . . . . divide by the coefficient of x

This is confirmed by a calculator in the first attachment.

_____

As written, the equation is ...

  ((1/49)^x) +2 = (7^x) -3

Multiplying both sides by 7^(2x) gives us ...

  1 + 2·7^(2x) = 7^(3x) -3·7^(2x)

Subtracting the left side gives us the cubic equation in 7^x:

  (7^x)^3 -5·(7^x)^2  -1 = 0

This has one irrational real root (found using a graphing calculator). The solution is ...

  x ≈ 0.83111881051

This answer is confirmed in the second attachment. (10^-16 is essentially zero for this purpose.)

__

Additional comment

Part of the reason for going to the trouble to solve the "as written" equation is to show you that it is possible, though messy. What we'd like to emphasize here is that grouping symbols are needed when exponents contain math operations.

In typeset text, the superscript font indicates the grouping of parts of an exponent. In plain text, we cannot tell if 7^x-3 means (7^x)-3 or 7^(x-3). The Order of Operations tells us to interpret it the first way: (7^x) -3, because exponentiation is done before addition. That leads to trouble in this problem.

Consider the following simple regression model: y = 0 + 1 x 1 + u. In order to obtain consistent estimators of 0 and 1, when x and u are correlated, a new variable z is introduced into the model which satisfies the following two conditions: Cov( z, x) 0 and Cov ( z, u) = 0. The variable z is called a(n) _____ variable. 答案选项组 dummy instrumental lagged dependent random

Answers

Answer:

Instrumental variable

Step-by-step explanation:

cov(z,u)  shows that the instrumental variable is exogenous. An instrumental variable can also be regarded as a third variable, It is included in the model if you have an issue of endogeneity in your regression model. An endogeneity problem arises if there are other variables are being influenced by other independent variable in the same regression model. we use z to account for these behaviours in the model. this variable controls for measurement errors as well as confounding errors.  

which choices are equivalent to the expressions below ? Check all that apply
√5 × √5

Answers

its would just be 5 if your multiplying

Express x^2 + 4x - 7 in the form (x + a)^2 - b where a and b are intergers

Answers

Answer:

[tex]x^2+4x-7=(x+4)^2-23[/tex] where [tex]a=4[/tex] and [tex]b=-23[/tex]

Step-by-step explanation:

Given: [tex]x^2+4x-7[/tex]

Complete the square: [tex](x^2+4x+16)-23[/tex]

Reduce trinomial: [tex](x+4)^2-23[/tex]

Therefore, [tex]x^2+4x-7=(x+4)^2-23[/tex] where [tex]a=4[/tex] and [tex]b=-23[/tex].

what is the value of x in the equation 2.5(6x-4)=10+4(1.5+0.5x)?

a. 1/3
b. 1/2
c. 2
d. 13

Answers

Answer:

x = 2

Step-by-step explanation:

Given

2.5(6x - 4) = 10 + 4(1.5 + 0.5x) ← distribute parenthesis on both sides

15x - 10 = 10 + 6 + 2x , that is

15x - 10 = 16 + 2x ( subtract 2x from both sides )

13x - 10 = 16 ( add 10 to both sides )

13x = 26 ( divide both sides by 13 )

x = 2

Answer:

2

Step-by-step explanation:

15x-10=10+6+2x

15x-2x=10+10+6

13x=26

divide 13 both sides

x=2

the slope of the line below is -5/7 write a point slope equation of the line using the coordinates of the labeled point (6,2)

Answers

it’s A because i graphed the equation and the slope is -5/7 and i found (6,2) on it

Plz help me tyvm :/
10 points
(no links)
(no wrong or guessed answers)

Answers

Answer:

2y

Step-by-step explanation:

2x-3=2y

2x-2y=3

Answer:

x = 3, y = 1.5

Step-by-step explanation:

Given the 2 equations

x + 2y = 6 → (1)

2x - 3 = 2y → (2)

In (2) subtract 2y from both sides and add 3 to both sides

2x - 2y = 3 → (3)

Adding (1) and (3) term by term will eliminate the y- term

3x = 9 ( divide both sides by 3 )

x = 3

Substitute x = 3 into either of the 2 equations and solve for y

Substituting into (1)

3 + 2y = 6 ( subtract 3 from both sides )

2y = 3 ( divide both sides by 2 )

y = 1.5

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