2 years ago

Rewrite the following parabola in vertex form by completing the square y= x^2 - 8x +13

Mathematics

1 answer:

Dmitry_Shevchenko [17]2 years ago

7 0

Answer:

y = (x - 4)² - 3

Step-by-step explanation:

<u>Given parabola:</u>

y = x² - 8x + 13

<u>Complete the square to convert the equation into vertex form:</u>

y = x² - 8x + 13 =
x² - 2*x*4 + 4² - 4² + 13 =
(x - 4)² - 16 + 13 =
(x - 4)² - 3

You might be interested in

The expression sin57 is equal to

Tju [1.3M]

Answer:

Step-by-step explanation:

5 0

3 years ago

An airplane flies at a rate of 356 km/h. The plane travels a total distance of 1424 km. (Use Distance = Rate * Time for your equ

aleksley [76]

1424=356t
1424/356=t
4 hours=time

6 0

3 years ago

graph the average temperatures for earth jupiter mars mercury neptune and saturn on a number line lable the points

Inessa05 [86]

DONT DELETE MY ANSWER IM GOING TO HELP HIM/HER

6 0

3 years ago

The ratio of x to y is 1/2 . If the ratio of x + 2 to y + 1 is 2/3 , then what is the value of x?

Natali5045456 [20]

Answer:

x =4

Step-by-step explanation:

x/y = 1/2

(x + 2) / (y + 1) = 2/3

Cross multiply the first equation

2x = y

Put that value for y into the second equation.

(x + 2) / (2x + 1) = 2/3 Cross multiply

3(x + 2) = 2(2x + 1) Remove the brackets.

3x + 6 = 4x + 2 Subtract 3x from both sides

6 = 4x - 3x + 2

6 = x + 2 Subtract 2 from both sides

6-2 = x

x = 4

5 0

3 years ago

HELP! Will give branliest!!

nirvana33 [79]

Answer:

10y + 29 ≤ -23

Step-by-step explanation:

subtract 29 from each side to get:

10y ≤ -52

y ≤ -5.2

3 0

3 years ago