Mathematics High School

y=x^2-2x-5 vertex form

Answers

Answer 1

Hey there! I'm happy to help!

First, we'll want to find the vertex of this parabola.

Given the equation y=ax^2+bx+c, the formula for the x-coordinate of the vertex is always [tex]-\frac{b}{2a}[/tex].

In our equation here, our a is 1 and our b is -2.

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

Now that we have our x-value of our vertex, we can plug it into our equation to find our y-coordinate.

y=1²-2(1)-5

y=1-2+5

y=-1+5

y=4

So, our vertex is at (1,4).

Vertex form is y=a(x-h)²+ k where (h,k) is our vertex. We know now that our vertex is (1,4) and we also know that our a is 1, so we can simply plug it in to this equation.

y=(x-1)²+4

Have a wonderful day and keep on learning! :D

Related Questions

Please help thanks .

Answers

Answer:

Step-by-step explanation:

Answer:

2x+2y=2

Step-by-step explanation:

2x+2y=....

So you substitute x for 4 and y for -3.

Which would will give you 2(4)+2(-3). 2·4+2·3 which would give you 8+-6

Then you would add 8 and -6.

8+-6

That should give you 2.

Four times the sum of three and a number

Answers

Answer:

4*3+X

IGNORE THIS JWINFWONDIWJFIENFIWKQPXK

[(30 + 6) − 3^2] ÷ 9 ⋅ 2

Answers

Answer: 6

Step-by-step explanation:

[tex]((30+6)-3^{2})\div9\times2\\(36-9)\div9\times2\\(27)\div9\times2\\3\times2\\6[/tex]

Answer:

135/46

Step-by-step explanation:

30+6=36

3^2 = 9

36-9=27

27/9.2=135/46

Determine what type of transformation is represented.

A. translation

B. reflection

C. rotation

D. none of these

Answers

Answer:

Step-by-step explanation:

Given the piecewise function shown below, select all of the following statements that are true

Answers

Answer:

A and C

Step-by-step explanation:

when x = 2 , that is x > 1 then f(x) = x² , that is

f(2) = 2² = 4 ← True

when x = 5, that is x > 1 then f(x) = x² , that is

f(5) = 5² = 25 ≠ 1 ← not true

when x = 1 then f(x) = 5 , that is

f(1) = 5 ← True

when x = - 2 , that is x < 1 , then f(x) = 2x , that is

f(- 2) = 2(- 2) = - 4 ≠ 4 ← not true

Find the numerical value, if x = 3 and y = 2.
4x + Зу -2
5y + 3

Answers

Answer:

4(3) + 3(2) - 2 = 16

5(2) + 3 = 13

Step-by-step explanation:

You insert the numerical values given for the variables X and Y.

Can I get some help on this ?

Answers

Answer:j r f a h

Step-by-step explanation:

Rewrite in simplest terms. 8r-2(7r+9)

Answers

Answer:

answer is the pic down below

Step-by-step explanation:

-6 • (r + 3) is the answer solved would be 22r-18

Two students created a list of steps for the following construction. Which student has steps in the correct order, and which does not? Explain.

You are given and point C. Construct a line parallel to that passes through point C.

Student A Steps:

Student B Steps:

Draw a line that intersects points B and C.

Draw a line through point C and point G.

Keep the compass at the same width, and place it on point C.

Keeping the compass at the same width, place it on point F.

Mark the intersection of the two arcs as point G.

Open the compass to the width between points D and E.

Place the compass on point B, and swing an arc that crosses line AB and line BC. Label the points D and E.

Swing an arc that crosses line BC, and label the point F.

Swing an arc that intersects the arc created from line BC at point C.

Draw a line that intersects points B and C.

Place the compass on point B, and swing an arc that crosses line AB and line BC. Label the points D and E.

Keep the compass at the same width, and place it on point C.

Swing an arc that crosses line BC, and label the point F.

Open the compass to the width between points D and E.

Keeping the compass at the same width, place it on point F.

Swing an arc that intersects the arc created from line BC at point C.

Mark the intersection of the two arcs as point G.

Draw a line through point C and point G.

Answers

Answer:

Step-by-step explanation:

As it is impossible to understand who have done what ,

the correct construction should be :

You are given point A, point B and point C.

Construct a line parallel to that line AB passing through point C.

1) Place the compass on point B, and swing an arc that crosses line AB and line BC.

Label the points D and E.

2) Keep the compass at the same width, and place it on point C.

3) Swing an arc that crosses line BC, and label the point F outside the segment [BC] .

4) Open the compass to the width between points D and E.

Keeping the compass at the same width, place it on point F.

5) Swing an arc that intersects the arc created from line BC at point C.

6) Mark the intersection of the two arcs as point G.

7) Draw a line through point C and point G.

You just have to discover who has done that.

can u solve it? what is5/7+4/5=?

please tell me this is homework for 8th grade bc i am in 8th so plz help me im not very good at math

Answers

Step-by-step explanation:

5/7+4/5

LCM of 5,7 is 35

So,

25+28/35

53/35

Answer:

53/35

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

a chemist is using 382 milliliters of a solution of acid and water. If 18.4 % of the solution is acid, how many milliliters of acid are there? round answer to nearest tenth.

Answers

Answer:

61.1 milliliters of acid

Step-by-step explanation:

You find the 18.4 percentage of 382

HELP!! Will mark as brainliest!!!

In school, pupils study one language.
They choose either French, Spanish or Italian.

3/20 of the pupils study Italian and 5/8 of the pupils study French

What fraction of the pupils study Spanish?

Answers

Answer:

19/40

Step-by-step explanation:

mark meeeeeee

Insert grouping symbols to make each number sentence true 7*8-6+3=17

Answers

Answer:

7*(8-6)+3

Step-by-step explanation:

Grouping symbols are parentheses; trial and error can lead you to this answer.

Checking, we must use order of operations (PEMDAS). First, we evaluate what's inside parentheses.

7 * 2 + 3

Then multiply:

14 + 3

Then add

Which variable is dependent temperature or time of day? Which variable is independent?

Answers

Answer:

The temperature depends on the time.

The independent variable is the variable the experimenter manipulates or changes.

[tex] \large \mathfrak{Solution : }[/tex]

According to formula :

[tex] \boxed{ \boxed{simple \: \: interest = \frac{p \times r \times t}{100} }}[/tex]

[tex]6720 = \dfrac{12000 \times 8 \times t}{100} [/tex]

[tex]6720 = 120 \times 8 \times t[/tex]

[tex]t = \dfrac{6720}{120 \times 8} [/tex]

[tex]t = 7\: \: years[/tex]

PLEASE HELP ME!!!
There are 21 squares in all. How many squares are covered? Mark the correct answer.

A:6 B:9 C:12 D:18

Answers

I believe it’s 18 since 3 rolls are covered

Re-write the equation 3 x minus y = 4 in slope-intercept form.
a.
y = 3 x minus 4
c.
y = negative 3 x minus 4
b.
y = 3 x + 4
d.
y = negative 3 x + 4

Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

F(x)=2x-1 is the answer

Answer:

I agree with the answer above me

Step-by-step explanation:

You can give the brainliest to them

Solve for (x,y,z)
x + 5y + 5z = -10
x + y +z= 2
x + 2y + 3z = -3

Answers

Answer:

(5, -1, -2)

Step-by-step explanation:

Given system:

x + 5y + 5z = -10 x + y + z = 2 x + 2y + 3z = -3

Eliminate one of the variables.

Subtract the second equation from the first and from the third equation:

x + 5y + 5z - x - y - z = -10 - 2 ⇒ 4y + 4z = -12 ⇒ y + z = -3x + 2y + 3z - x - y - z = -3 - 2 ⇒ y + 2z = -5

Now subtract the first equation above from the second to solve for z:

y + 2z - y - z = -5 + 3z = -2

Find y:

y + z = -3y - 2 = -3y = 2 - 3y = -1

Now find x:

x + y + z = 2x - 1 - 2 = 2x - 3 = 2x = 2 + 3x = 5

The solution is:

(5, -1, -2)

Please help
I’ll give brain-lest

Answers

Answer:

TU = 29

Step-by-step explanation:

TU + UV = TV , substitute values

9x + 2 + 5 = 14x - 8 , that is

9x + 7 = 14x - 8 ( subtract 14x from both sides )

- 5x + 7 = - 8 ( subtract 7 from both sides )

- 5x = - 15 ( divide both sides by - 5 )

x = 3

Then

TU = 9x + 2 = 9(3) + 2 = 27 + 2 = 29

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