write an equation for a function that has a graph with the shape of y=x^2, but upsidedown and shifted right 6 units and up 4 units. ​

Answers

Answer 1

Answer:

y - 4 = -(x - h)^2

Step-by-step explanation:

We begin with the stock function y = x^2.  Its graph is a parabola with vertex at (0, 0) and opening up.  The more general vertex form of the graph is

y - k = a(x - h)^2, where the point (h, k) is the vertex and 'a' determines the direction of opening as well as by how much the parabola is stretched vertically.

In this problem the vertex is (6, 4); that is, the vertex is shifted to the right by 6 units and upward from there by 4 units.  The coefficient 'a' is -1, indicating that the graph opens downward.

So we have the equation y - 4 = -(x - h)^2.  Without more information we cannot tell whether the graph is stretched vertically or not.


Related Questions

A poker game requires players to draw a card and roll a die. The combination of card and die will determine if a player wins. There are:

13 different types of cards: Ace, 2,3,4,5,6,7,8,9,10, Jack, Queen, King
6 different numbers, one on each face of a die: 1,2,3,4,5,6
How many different combinations are there of one card and one die roll?

Answers

Answer:

78

Step-by-step explanation:

13*6=78

Answer:

that is not real, the game of poker does not need and does not use dice, they are only cards

explanation:

give me crown please  ;-;

If log2 5 = a, log2 3 = b and log2 7 = c, determine an expression for log2 (25/21) in terms of a, b, and c

Answers

Answer:

[tex]2a - b -c[/tex]

Step-by-step explanation: We know that:

[tex]log_{2} 5 = a\\log_{2} 3 = b\\log_2 7 = c\\[/tex]

and we want:

[tex]log_2 \frac{25}{21}[/tex].

We can form the numerator using just the first fact (since 5^2 is 25) and the denominator using the latter two (since 3*7 = 21).

[tex]log_2 \frac{25}{21} = log_2 \frac{5^2}{3*7}.[/tex]

The logarithm of a division can be expanded by subtracting the numerator and denominator (while still keeping the log). The logarithm of a product can be expanded by adding the terms while keeping the log. If the logarithm is raised to a power, we can bring it down as a factor:

[tex]log_2 \frac{5^2}{3*7} = log_2(5)^2 - log_2 (3*7) = 2 log_2(5) - (log_2 3 + log_2 7)[/tex]

[tex]= 2 log_2(5) - log_2 3 - log_2 7[/tex] .

Substituting the variables:

[tex]2 log_2(5) - log_2 3 - log_2 7 = 2a - b - c[/tex]

A number t divided by 3 is 7. An equation that represents this word sentence is

Answers

Answer:

t ➗(division sign) 3 = 7

Hope this helped <3

what is the quotient of 16x4 divided by 2x?​

Answers

Answer:

8x³

Step-by-step explanation:

Given

16x^4 divided by 2x

= 16x^4 / 2x

= 8x^4-1

= 8x³

Hope it will help :)❤

Answer:

16x⁴/2x=8x^(4-1)=8x³

I am a four-sided shape I have four right angles and my sides are not all equal to each other what shape am I ​

Answers

Answer:

You are a Quadrilateral.

Step-by-step explanation:

The four sided shape that has four right angles and the whole sides are not equal to each other is a rectangle.

What is a rectangle?

A rectangle is a quadrilateral. This simply means it has four sides.

The sides of a rectangle are not equal.

Properties of a rectangleOpposite sides are equal.Opposite side are parallel.The angles are all right angles.The diagonal bisect each other.The sum of angles in a rectangle is 360 degrees.

Therefore, the four sided shape that has four right angles and the whole sides are not equal to each other is a rectangle.

learn more on rectangle here: https://brainly.com/question/15019502

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Can someone help me with this question?

Answers

Answer:

One of the angles in the triangle might be 50.

AND

The length of the third side must be 11cm or smaller.

Step-by-step explanation:

-The triangle might be an equilateral triangle (having all the same sides and angles). False, since the triangle sum theorem states that all angles inside of a triangle must add up to 180, so an equilateral triangle would need to have all three angles at 60 degrees.

-One of the angles in the triangle must be 120 (false; it can be anything above 90, which is not only 120)

-The length of the third side must be 11cm or smaller. (True, Triangle Inequality Theorem)

-One of the angles in the triangle might be 50 (possibly, so very much true)

The figure shows two parallel lines cut by a transversal. Which angle pairs are corresponding angles? Choose all that apply. Please help Pt.2
A. Angle A and Angle E
B. Angle H and Angle E
C. Angle C and Angle G
D. Angle B and Angle G
E. Angle A and Angle D
F. Angle H and Angle D

Answers

Answer:

A, C, and F

Step-by-step explanation:

Two angles that lie on the same  side of the transversal in  corresponding positions

Answer: A, C, and it is F

For the function f(x) = 7x1 + 10, find f-1(x).

15 points halp me plz

Answers

Answer:

C. f^-1(x) = (x/7 - 10)^4

Camden has an action figure collection of 380 action figures. He keeps 55% of the action figures on his wall. How many action figures does he keep on his wall?

Answers

209 action figures on his wall

380/100 = 3.8
so there would be 3.8 action figures per 1%
then 3.8*55 =209

I really need help pls someone question is linked

Answers

Answer:

The monthly fee is $25, plus the installation fee

Step-by-step explanation:

685 - 85 = 600

1 yr = 12 months

so 24 months

600 / 24 = 25

Solve the equation.
65 + r = 130
65+r-
= 130 -
r =
65+r = 130
65+r-
= 130-0
r =
(Type whole numbers.)

Answers

Answer:

65 + r = 130

65 + r - 65 = 130 - 65

r = 65

Step-by-step explanation:

en una tienda se anuncia el 25% de descuento en toda la mercancia, si una señora compro $735 cuanto pago despues del descuento

Answers

Answer:

$551.25

Step-by-step explanation:

1. Encuentre el 25% de $735:

0.25 x 735 = 183.75

2. Reste este número del precio original, $735:

735 - 183.75 = 551.25

The lady paid $551.25 after the 25% discount on merchandise.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have a 25% discount is advertised on all merchandise. A lady bought a merchandise for $735.

Assume that she paid $x after the 25% discount. Then, we can write -

[x] = 735 - 25% of 735

[x] = 735 - (25/100) x 735

[x] = 735 - (1/4) x 735

[x] = 735(1 - 1/4)

[x] = 735 x 3/4

[x] = 551.25

Therefore, the lady paid $551.25 after the 25% discount on merchandise.

To solve more questions on Equation Modelling, visit the link below -

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[Question in english -

In a store, a 25% discount is advertised on all merchandise. If a lady bought $735, how much did she pay after the discount?]

Find the value of x.
[p. 153]
A. x = 5
B. x = 10
C. x = 20
D. x = 40

Answers

Answer:

your answer will be C.x=20

Step-by-step explanation:

bye have a wonderful day/night ^_^

Evaluate the expression: (3.3 + 6 x 1.8) + 5^2

Answers

Answer:

39.1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

(3.3 + 6 × 1.8) + 5²

Step 2: Evaluate

(Parenthesis) Multiplication:                                                                             (3.3 + 10.8) + 5²(Parenthesis) Addition:                                                                                     14.1 + 5²Exponents:                                                                                                        14.1 + 25Addition:                                                                                                            39.1

378934×95= what number

Answers

35,998,730
here u goo

Answer:

35,998,730

Step-by-step explanation:

378934 × 95 = 35,998,730

Evaluate the expression 2b to the third power+ 5 when b=5

Answers

Answer:

1005

Step-by-step explanation:

10 to the third power + 5 =

1000 + 5 =

1005

Hope that helps!

Help me as much as you can please :)

Answers

Answer:

here is your ans

mark it as brainliest if you think so❤️

9514 1404 393

Answer:

  3)  (0, 0)

  4)  (-1, 2)

Step-by-step explanation:

I find a graphing calculator provides a quick solution to a system of linear equations.

3) The solution is (x, y) = (0, 0)

4) The solution is (x, y) = (-1, 2)

__

In each case, the y-term can be eliminated by multiplying the first equation by 3. For problem 3) the resulting equations must be added. For problem 4), the resulting equations must be subtracted.

LaTeX: 6x-7=-1696 x − 7 = − 169


x = ?

Answers

6x-7= -1696

6x= -1689

x= -281.5

x − 7 = − 169

x= -162

HELLP PLZ SOMEONE HELLP MEEEE

Answers

Answer:

The answer is "[tex]x_k= -\frac{9}{16} (-2)^k + \frac{9}{16} 2^k +\frac{3}{8} k\times 2^k\\\\[/tex]"

Step-by-step explanation:

[tex]\to F(Z)=\frac{3z(z-1)}{z^3-2z^2-4z+8}\\\\\to \frac{F(Z)}{z}=\frac{3z(z-1)}{z(z^3-2z^2-4z+8)}\\\\\to \frac{F(Z)}{z}=\frac{3(z-1)}{(z^3-2z^2-4z+8)}\\\\\to \frac{F(Z)}{z}=-\frac{9}{16} \frac{1}{z+2} + \frac{9}{16} \frac{1}{z-2} +\frac{3}{4} \frac{1}{(z-2)^2}\\\\\to F(Z)=-\frac{9}{16} \frac{z}{z+2} + \frac{9}{16} \frac{z}{z-2} +\frac{3}{4} \frac{z}{(z-2)^2}\\\\\to x_k= -\frac{9}{16} (-2)^k + \frac{9}{16} 2^k +\frac{3}{8} k\times 2^k\\\\[/tex]

My little cousin took a STAR math test and she wanted to know if her score is good she got a 923 score on her STAR math test and she is in 8th grade did she do good or? She was really curious and wanted me to answer this question lol

Answers

I’m pretty sure that means she’s a 9th grade level in math so yes! That’s a good thing!
923 is passing on a STAAR test and is average score for an eighth grader. :)

Compute the value of the discriminant and give the number of real solutions of the quadratic equation.
-9x² – 3x-2=0 please help !

Answers

Answer:-9 :)

Step-by-step explanation:

Find x and please show your work

Answers

2.5x = 60

x = 60 / 2.5

x = 24

Answer:

I have made it in above picture

hope it helps

Samantha's annual college tuition is $18,541.89. The college offers a monthly payment plan for 9 equal payments. How much would each monthly payment be?​

Answers

Answer:

2,060.21

Step-by-step explanation:

:)

Simplify and express the result in power notation as a positive exponent

(-2)^5/(-2)^4

Answers

Answer:

(-2)^5 / (-2)^4 = -2

Break it down. (-2)^5= -32. (-2)^4= 16. Divide the -32 by 16 and you get -2

Step-by-step explanation:

-2x-9y=-25 4x+9y=23



Help me

Answers

X=25/11 and y=17/11 if that’s what your asking for

Use the distributive property to remove the parentheses.
-2(-2x+4w-1)


HELP!!

Answers

You multiply everything in the parentheses to -2

4x + -8w + 2
4x-8w+2
Hope this helps!

I really need help with this. Can anyone help me please?

Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.
3,-2+2i

Thank you!

Answers

Answer:

[tex]f(x)=(x-3)(x^2+4x+8)[/tex]

Step-by-step explanation:

A polynomial function is given by the form:

[tex]f(x)=a(x-p)(x-q)...[/tex]

Where a is the leading coefficient, and p and q are the roots (more can be added if necessary).

Our zeros are 3 and (-2 + 2i).

And our leading coefficient a = 1.

Furthermore, by the Complex Root Theorem, if (-2 + 2i) is a zero, then (-2 - 2i) must also be a zero.

So, by substitution, we acquire:

[tex]f(x)=1(x-(3))(x-(-2+2i))(x-(-2-2i))[/tex]

Simplify:

[tex]f(x)=(x-3)(x+2-2i)(x+2+2i)[/tex]

Expand the second and third factors:

[tex]\begin{aligned} &=(x+2-2i)x+(x+2-2i)(2)+(x+2-2i)(2i)\\&= (x^2+2x-2ix)+(2x+4-4i)+(2ix+4i-4i^2)\\&=(x^2)+(2x+2x)+(-2ix+2ix)+(-4i+4i)+(4-4i^2)\\&=x^2+4x+(4+4)\\&=x^2+4x+8 \end{aligned}[/tex]

Therefore, our polynomial function of least degree and the given zeros will be:

[tex]f(x)=(x-3)(x^2+4x+8)[/tex]

F(x)=2x+1 then find f(k)

Answers

Answer:

f(k) = 2*k + 1

Step-by-step explanation:

The 'f' function takes the variable, doubles it, and then adds 1.

So f(k) = 2*k + 1

f(g) = 2*g + 1

f(m) = 2*m + 1, and so on

It doesn't really matter which variable you use, the function still does the same thing to it.

LAST TRIG QUESTION <3

Answers

Answer:

choice 4) x = 12

Step-by-step explanation:

sin 60 = 6/a

0.8660 = 6/a

a = 6.9228

tan 60 = x/6.9228

1.7321 = x/6.9228

x = 12

A city manager made a scatter plot of the number of retail stores in a certain city over the years. The scatter plot had a trend line with an equation of y = 11x + 12, where y is the total number of retail stores and x is the number of years since 1990. 12. When Darryl and his family moved o the city, there were 133 retail stores in the city. Use the equation to predict what year Darryl's family moved to the city.

Answers

Answer:

2001

Step-by-step explanation:

133 = 11x + 12

121 = 11x

x = 11

1990 + 11 years = 2001

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