Which is the graph of f(x) = x2 – 2x + 3?

Answers

Answer 1

Answer:

The correct answer is:

The graph will be the same width as the parent graph f(x) = x², but the vertex has been shifted to (1, 2).

Step-by-step explanation:

Since the value of a, the coefficient of x², is 1, this means the graph has not been stretched or shrunk. However, since the function is different than f(x)=x², we know that the vertex is not at (0, 0). We can write the function in vertex form to find the new vertex.

To write the function in vertex form, we find the value of b/2. The value of b in this function is -2; -2/2 = -1. We then square this: (-1)² = 1. This is what we add and subtract to the function (we must do both to preserve equality), giving us:

f(x) = x²-2x+1+3-1

The first three terms of this function can be written as the square (x+(b/2))²; this is (x-1)², and gives us f(x) = (x-1)²+3-1. Combining like terms, we have:

f(x) = (x-1)²+2

This is vertex form, f(x) = a(x-h)²+k, where (h, k) is the vertex. This means the vertex is at (1, 2) instead of (0, 0).

Answer 2

Answer:

It's the first graph :D

Step-by-step explanation: hope it helps ^w^


Related Questions

Need help !!!! I would make you 100 edits if you answer this for me ! I need some help on this !! It’s due in a few minutes!! Help me !!

Answers

Answer:

6A7C8B

Step-by-step explanation:

Add them in and try to solve for 7 and 6, for 8. I usually put all number on one side and all x on other side.

15. Lola jogs at a constant rate of 6 miles per hour. Which does not represent the relationship between the time Lola jogs, t, and the distance she jogs, d?​

Answers

How long her strides are.

What fraction goes in the box to make it correct?4×□=1​

Answers

Answer:

1/4

4 × .25 = 1

The answer to 4×□=1 is 1/4.

is y=-2/5x inverse or direct variation

Answers

Answer:

direct

Step-by-step explanation:

The standard form of an equation representing direct variation is

y = kx ← k is the constant of variation

The standard form of an equation representing inverse variation is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

y = - [tex]\frac{2}{5}[/tex] x ← represents direct variation with k = - [tex]\frac{2}{5}[/tex]

Solve the equation 7x-4(-4x-16)= -166

Answers

Answer: x = -10

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x= -10

Step-by-step explanation:

7x-4(-4x-16)=-166 foil the ()

7x+16x+64= -166  combine terms

23x+64= -166  subtract 64 to both sides

23x= -230  divide by 23

x= -10

what is 55 - 11u =55​

Answers

Answer:10


Explanation:

Take the subtraction sign turn it into a plus because you want to make it a bigger number. Then it equals 110 and divide 110 by 11u and it equals 10

What does This equation equal ?3.91 x 10-2 =

Answers

Answer:

37.1

Step-by-step explanation:

Hope this is the right answer.

PLEASE SOMEONE HELP ME. I WILL BRAINLIEST YOU AND GIVE YOU POINTS.

Answers

Answer:

ok it has to be c baceau it loooks like it

Step-by-step explanation:

31 = - (1 +6p ) +4(p + 6 )

Answers

Answer:

p = -4

                                                                                                                 ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Answer:

p = -4

Step-by-step explanation:

I'm not going to explain each step, just try to follow along.

31 = -(1+6p)+4(p+6)

31 = -1-6p+4p+24

7 = -1-2p

8 = -2p

p = -4

I hope this helps!

2x+3>_7 or 2x+9>11 plzzzz help meee

Answers

Answer:

b

Step-by-step explanation:

hi I I'm the explanation

5 point
Which table could represent a function? *
X
f(x)
x
h(x)
1
4
e
ON
1.
2
2
4
3
4
1
6
2
6
2
2
Х
g(x)
Х
k(x)
1
2
2.
2
2
2.
4
+
2
3
6
داماد
6
4
2
6
C Table 1

Answers

Answer:

C table one hope this helps ya

Y’all please help I have so many missing assignments and it would help if you even did one question for my homework

Answers

Answer:

Step-by-step explanation:

Which of the following is equivalent to (5x^2)(4x^3)

Answers

Answer:

20x^5

Step-by-step explanation:

You just multiply 5 by 4 and get 20 and when multiplying exponents you just add them together so you get 20x^5

Find the missing values.

Answers

Answer:

Below in bold.

Step-by-step explanation:

The 2 triangles are congruent and they are both isosceles.

So m < 3 = 54 degrees.  (isosceles triangle)

m < 2 = 54 degrees.      (congruent triangles)

m < 1 = 180 - 2(54)

= 180 - 108

= 72 degrees.                 (angles in a triangle sum to 180).

m < 4 = 72 degrees.       (congruent triangles),

A) {(0,1),(1,2),(2,3),(3,4),(1,5)}
B) {(0,0),(1,1),(2,4),(3,9),(4,16)}
C) {(-2,4),(-1,1),(0,0),(2,4),(3,9)}

Which one is a function?
And which is is not Non-function?


PLZ ANSWER PLZ 15 POINTS JUST PLZ

Answers

Letter B is a function because all the x values are different. Letter C is a function also because even though the number 4 repeats, it is in the y value and not the x so as long as the x value’s are different, it is a function. Letter A is not a function because there are 2 of the same x values.

x to the power of 3-5.5 when x = 3

Answers

Answer:

15.588

Step-by-step explanation:

3-5.5=-2.5

3^2.5=15.588

This table shows the total cost, t, in dollars, of a movie rental when the movie is rented d days.







Which equation represents the data in the table?



t=3d


t=d+6


t=2d+3


t=12d+9

Answers

t=3d based on the information given

Answer:

t=2d+3

Step-by-step explanation:

40 percent of students in a class of 35 students are girls. how many girls are in this class?

Answers

Answer:

14 girls

Step-by-step explanation:

40% of 35 = [tex]\frac{40}{100}[/tex] × [tex]\frac{35}{1}[/tex]  [tex]\frac{40}{100}[/tex] × [tex]\frac{35}{1} = \frac{1400}{100}[/tex]  [tex]\frac{1400}{100} = \frac{14}{1} = 14[/tex]  

I hope this helps!

Answer:

14 girls in the class

Step-by-step explanation:

use percentage equation, p = nw or part of the question = the percentage times the total amount.

So in this case our p, or girls in the class (which is part of the total), is unknown. We have the percentage and we have the total. So all we need to do is multipy them. However how do you multiply percentage . . . well 40 percent also equalts to 0.40. So all you have to do is multiply .40 by 35 and you have your answer.

Melissa earned $17 for 2 hours walking her dogs. Last week sh walking dogs for 8 hours how much did she make last week

Answers

Answer:

she made $68 last week.

Answer:

$68

Step-by-step explanation:

you need to divide 8 by 2 which is 4

then multiply 4 by 17 which equals 68.

HELP Evaluate the function for x = 2 and x = 7.
h(x)=−4x+61

Answers

Answer:

Step-by-step explanation: not sure why there is two x values can you explain more

Is 11 a solution to 3(x+6)=4x ?

Answers

Answer:

The number 11 is not a solution for the given equation.

Step-by-step explanation:

We are given an equation with one variable. We can use simplifying processes to solve the equation.

[tex]3(x+6)=4x \ \ \text{Distribute the 3 through.}\\3x + 18 = 4x\ \ \ \text{Flip the equation.}\\4x = 3x + 18 \ \ \ \text{Subtract 3x from both sides.}\\\small\boxed{\bold{x = 18}}[/tex]

We can also substitute 11 for x and solve to see if the left side and right side of the equation equals itself.

[tex]3(11 + 6) = 4(11)\\33 + 18 = 44\\\small\boxed{\bold{51 \neq 44}}[/tex]

Therefore, 11 is not a solution for the given equation.

Answer:

First of all,We need to find the value of x to find that 11 is the solution to 3(x+6)=4x or not.

[tex] \displaystyle \rm \longmapsto \:3(x + 6) = 4x[/tex]

[tex] \displaystyle \rm \longmapsto \:3x + 18 = 4x[/tex]

[tex] \displaystyle \rm \longmapsto \:4x = 3x + 18[/tex]

[tex] \displaystyle \rm \longmapsto \:4x - 3x = 18[/tex]

[tex] \displaystyle \rm \longmapsto \:x = 18[/tex]

Let's put x as 11:

[tex] \displaystyle \rm \longmapsto \:3(11 + 6) = 4(11)[/tex]

[tex] \displaystyle \rm \longmapsto \:33 + 18 = 44[/tex]

[tex] \displaystyle \rm \longmapsto \:51 = 44[/tex]

51 doesn't equal to 44.So,11 is not the correct solution to 3(x+6)=4x.

10 + 2 - 3 = 3(2 + 2)

Answers

Answer:

My answer is = 9 cannot equal 12. There are no variables present in this equation, so what are you solving for?

Step-by-step explanation:

On the right you would use distributive property and on the left you would just simply add and subtract.

However, you cannot equal it to zero either because there are no variables nor exponents.

Is this correct, i did 21.5 times 33.6 and converted it to yards to the nearest tenth and i got 80.3

Answers

Answer:

Thats what i got too :)

Step-by-step explanation:

You have the correct answer. It is 80.3 square yards.

Work Shown:

Area of parallelogram = length*width = 21.5*33.6 = 722.4 sq ft

1 yard = 3 ft

1 sq yd = 9 sq ft ... square both sides

To convert from square feet to square yards, we'll divide by 9

This is the same as multiplying by 1/9

722.4 sq ft = (722.4 sq ft)*(1 sq yd/9 sq ft)

722.4 sq ft = (722.4)*(1/9) sq yards

722.4 sq ft = 80.2667 sq yards

722.4 sq ft = 80.3 sq yards

find the domain and range of x square - 6 X + 6​

Answers

Answer:

Domain:(−∞,∞),{x|x∈R}  

Range:(−∞,∞),{y|y∈R}

Step-by-step explanation:

Is there a series of rigid transformations that could map TriangleKLP to TriangleQNM? If so, which transformations? No, TriangleKLP and TriangleQNM are congruent but TriangleKLP cannot be mapped to TriangleQNM using a series rigid transformations. No, TriangleKLP and TriangleQNM are not con gruent. Yes, TriangleKLP can be reflected across the line containing KP and then translated so that P is mapped to M. Yes, TriangleKLP can be rotated about P and then translated so that L is mapped to N.

Answers

Answer:

C. Yes, Triangle KLP can be reflected across the line containing KP and then translated so that P is mapped to M

Step-by-step explanation:

2020 EXAM

Answer: C

Step-by-step explanation:

Yes, TriangleKLP can be reflected across the line containing KP and then translated so that P is mapped to M.

Tim throws a stick straight up in the air from the ground. The function h = -16t^2+ 48t models the height, h, in feet, of
the stick above the ground after t seconds. Which inequality can be used to find the interval of time in which the stick
reaches a height of more than 8 feet?

Answers

Answer:

[tex]-2t^2+ 6t -1 > 0[/tex]

Step-by-step explanation:

Function Modeling

The height h in feet of the stick threw by Tim is modeled by the function:

[tex]h = -16t^2+ 48t[/tex]

where t is the time in seconds.

It's required to write an inequality that can be used to find the interval of time in which the stick reaches a height of more than 8 feet, i.e. h > 8.

Using the given model, we write the inequality:

[tex]-16t^2+ 48t > 8[/tex]

Dividing by 8

[tex]-2t^2+ 6t > 1[/tex]

Subtracting 1, we get the required inequality:

[tex]\mathbf{-2t^2+ 6t -1 > 0}[/tex]

Answer:

you want more than 8 feet so the answer would be -16t^2+48t>8

Step-by-step explanation:

h=-16t^2+48t

-16t62+48t>8

-16t^2+48t=8

divide both sides of the equal sighn by 8

-2t^2+6t=1

put the symbol back in

-2t^2+6t>1

substitute a random mumber for t

-2(5)^2+6(5)>1

-10^2+30>1

subtract 30 from both sides

100>-29

state is true so -16t62+48t>8 is the correct answer

if y(x)=4x what is x when y(x)=4?​

Answers

Answer:

1

Step-by-step explanation:

y(x)=4x

y(x)=4

<=>4x=4

<=>x=1

Martina bought 5 bags of rice for her restaurant. Each bag weighed 4.7 kilograms. How many kilograms of rice did she buy total?

Answers

Answer:

23.5kg

Step-by-step explanation:

5 bags *4.7kg each = 23.5kg total

What value of x makes this equation true?

-6x + 3 = 45

Answers

Subtract 3
-6x = 42
Divide by -6
x = -7

Answer:

Subtract 3

-6x = 42

Divide by -6

x = -7

HELP PLEASE, I will give brainliest

Answers

Answer:

The first one.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The first one is correct.

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