MATHEMATICS HIGH SCHOOL

The image shows a geometric representation of the function f(x) = x2 – 2x – 6 written in standard form.What is this function written in vertex form?


f(x) = (x –1)2 – 7

f(x) = (x +1)2 – 7

f(x) = (x –1)2 – 5

f(x) = (x +1)2 – 5

Answers

Answer 1
Answer:

we know that

To find the equation in vertex form, we need to factor the function

so

f(x) = x^(2) - 2x - 6

Complete the square. Remember to balance the equation

f(x) = x^(2) - 2x +1-1- 6

f(x) = x^(2) - 2x +1-7

Rewrite as perfect squares

f(x) = (x-1)^(2) -7

in this problem

the vertex is the point (1,-7)

therefore

the answer is

The function written in vertex form is equal to f(x) = (x-1)^(2) -7
Answer 2
Answer:

Answer:

First one

Step-by-step explanation:

Related Questions

What is the answer can someone help me
What is value of x?Enter your answer in the box.
What is the vortex of the quadratic function fox (x-8)(x-2)?
Find the x-intercept and y-intercept of the line. 3x-6y=12
The sum of the page numbers of two facing pages in a book is 145. What are the page numbers?

I need help with point slope formula bad

Answers

Ok so this question:
y + 1 = - ( x - 2 )        (distribute the negative inside the parenthesis)
y + 1 = -x + 2             (substitute the y= -1)
-1 + 1 = -x + 2
0 = -x + 2                   (take two to the other side)
-2 = -x                        (divide the negative away from x)
2 = x

What is a vertices? How many vertices does a cube have?

Answers

A single one of them is called a "vertex". It's a point where edges meet.
A triangle has 3 of them.
A square has 4 of them.
A cube or a brick has 8 of them.
Can you look around and find the 8 vertices of your bedroom ?

A vertex is a point in geometry where two or more lines, edges, or curves intersect.

There is a cube that contains eight vertices.

A vertex is a point in geometry where two or more lines, edges, or curves intersect. It is frequently used to describe the corners or places of intersection of geometric objects like polygons, polyhedra, or graphs.

The cube is a three-dimensional geometric form with six square faces. Each cube's square face has four vertices.

As a result, a cube contains eight vertices.

The vertices of a cube are the spots where the cube's three edges cross. These vertices determine the cube's corners and play an important role in shaping its shape and structure.

Learn more about the cube here:

brainly.com/question/15420947

#SPJ6

What is the area of the triangle and perimeter of this triangle

Answers

The area is 36 in (found by 1/2 base times height) and the perimeter is 29.2 (found by adding up all the sides).

How to find the diagonals of a parallelogram?

Answers

Well you draw a diagonal line across the parallelogram and then do the pythogorean theroem with the base and height and you'll have the hypotenuse/diagonal

How do you write 6/9 two different ways

Answers

Answer:

(2)/(3) and (12)/(18)

Step-by-step explanation:

we need to write the fraction (6)/(9) in two different ways.

we write two equivalent fraction for the given fraction

Divide the given fraction by 3 on both sides top and bottom

(6)/(9)=(2)/(3)

To get another equivalent fraction , multiply the given fraction by any number at the top and bottom. Multiply the fraction by 2

(6 \cdot 2)/(9 \cdot 2)=(12)/(18)

To fractions are (2)/(3) and (12)/(18)
you could write it 6÷9 or 2/3

A jet travels 3950 miles from Chicago to London and then returns. The total flying time for the roundtrip is 16.5 hours. The return trip takes longer due to the wind. If the jet's average speed with no wind is 485 mi/hr, what is the average speed of the wind during the round trip flight? Round to the nearest mi/hr

Answers

the answer is473 miles per hour
Other Questions
In a heptagon, the sum of the measures of 4 of the angles is 478 degrees. What is the sum of the measures of the other 3 angles?
A dime weighs 50% as much as a nickel does what is the weight of a dime?
hey sales person sells $2900 and merchandise and earns a commission of 522 what is the commission rate?
Please help. are they Parallel, perpendicular or neither