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3 years ago

Convert each function to standard form31) y=(x + 2)2 + 1

Mathematics

1 answer:

vlada-n [284]3 years ago

6 0

The standard form of a parabola is

$y=ax^2+bx+c$

So, if you expand the square, you get

$y=(x+2)^2+1 = x^2+4x+4+1 = x^2+4x+5$

which is the standard form

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How to solve the equation

tatiyna

Answer:

Step-by-step explanation:

hahaha thanks for the points ha

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2 years ago

What’s the answer to this question

artcher [175]

The answer is for question 12, x = -9.3333333

6 0

3 years ago

2. Find the common difference and the recursive formula. a. 22, 19, 16, 13, …

Musya8 [376]

Answer:

The common difference d is d = -3

The recursive formula is: $\mathbf{a_n=a_{n-1}-3}$

Step-by-step explanation:

We need to find the common difference and the recursive formula.

a. 22, 19, 16, 13, …

First we will find common difference

The formula of arithmetic sequence is: $a_n=a_1+(n-1)d$

where a_n is nth term, a_1 is 1st term and d is the difference

Looking at the sequence we get: a_1=22, a_2=19

Using these values we can find d, the common difference

$a_n=a_1+(n-1)d\\put\:n=2, a_2=19, a_1=22\\19=22+(2-1)d\\19=22+d\\d=19-22\\d=-3$

So, the common difference d is d = -3

Now, we will find the recursive formula:

The recursive formula is of type: $a_n=a_{n-1}+d$

We have found common difference d = -3

So, the recursive formula will be:

$a_n=a_{n-1}+d\\a_n=a_{n-1}+(-3)\\a_n=a_{n-1}-3$

The recursive formula is: $\mathbf{a_n=a_{n-1}-3}$

6 0

3 years ago

13(6x – 5) – x = 13 – 2(x + 1)

Murrr4er [49]

Answer:

x = 76/79

Hope this helped

7 0

3 years ago

Read 2 more answers

Help me please show how you got the answer

Lilit [14]

Answer:

Firstly you need to put the equation in form of. y =ax+b

Let us do it

We have

2x-2y=18

-2y=18-2x

-y=(18) /2 - (2x)/2

-y =9-x

Mutiply by - to remove it beside y

Y=-9+x

Which is y=x-9

Slope =a=1

Yintercept=b=-9

3 0

2 years ago

Convert each function to standard form31) y=(x + 2)2 + 1​

Convert each function to standard form31) y=(x + 2)2 + 1