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3 years ago

Y =( x + 3) 2 - 1 identify the vertex

Mathematics

1 answer:

antoniya [11.8K]3 years ago

5 0

Answer:

Step-by-step explanation:

The vertex is of the form (h, k). The general equation of a quadratic in vertex form is

$y=(x-h)^2+k$

where h is the x coordinate of the vertex and k is the y coordinate of the vertex. The important thing to remember is that the "x -" part of the formula is constant, it doesn't change. So if our expression inside the parenthesis is

(x + 3), it is understood to be (x - (-3)) which indicates movement to the left. The "+ k" part is not taken literally. If we have a + 2 at the end of our equation we are moving up 2; if we have a -1 at the end, we are moving down 1. Our vertex then is located at (-3, -1)

You might be interested in

96,240 is divisible by 2, 4, and 8. true or false?

VikaD [51]

Answer:

false

Step-by-step explanation:

96,240

a-9

2,3

8,9

4 0

3 years ago

One month, the price of gas was $1.44. The next month the price of gas was $2.40. What was the approximate percent of increase f

Lapatulllka [165]

Step 1:
Find the difference between the two numbers.
$2.40-$1.44= $0.96

Step 2:
Divide by the original number.
$0.96/1.44= 0.667

Step 3:
Multiply by 100 to find percent increase.
0.667 * 100= 66.7% rounded to one decimal place or 67% rounded

Hope this helped! :)

6 0

4 years ago

1. A farmer estimates her hens will produce

a_sh-v [17]

Answer:

Expected profit per dozen eggs = 4 ¢

Expected profit on the total egg production = 60,000 ¢

Step-by-step explanation:

Complete table as obtained online

Net Profit | 8 | 6 | 4 | 2 | 0 | -2

Probability |0.1|0.4|0.2|0.1|0.1|0.1

a) Expected profit per dozen eggs

Expected value is given as

E(X) = Σ xᵢpᵢ

xᵢ = each variable

pᵢ = probability of each variable

E(X) = (8×0.1) + (6×0.4) + (4×0.2) + (2×0.1) + (0×0.1) + (-2×0.1) = 4 ¢ per dozen

b) Expected profit on the total egg production

Last year, she had 12,000 dozen eggs

This year, she estimates 3,000 dozen more eggs

Estimated Total egg production this year = 12000 + 3000 = 15,000 dozen eggs

Expected profit per dozen eggs = 4 ¢

Expected profit on 15,000 dozen eggs = 15000 × 4 = 60,000 ¢

Hope this Helps!!!!

5 0

4 years ago

In Exploration 5.4.2 Question 2, what conclusion can you make about the value of the derivative at

givi [52]

The value of the derivative at the maximum or minimum for a continuous function must be zero.

<h3>What happens with the derivative at the maximum of minimum?</h3>

So, remember that the derivative at a given value gives the slope of a tangent line to the curve at that point.

Now, also remember that maximums or minimums are points where the behavior of the curve changes (it stops going up and starts going down or things like that).

If you draw the tangent line to these points, you will see that you end with horizontal lines. And the slope of a horizontal line is zero.

So we conclude that the value of the derivative at the maximum or minimum for a continuous function must be zero.

If you want to learn more about maximums and minimums, you can read:

brainly.com/question/24701109

4 0

2 years ago

21 1/2% of 250 is what number?

RideAnS [48]

Answer: 52.5

Percentage Calculator: What is 21 percent of 250? = 52.5.

Step-by-step explanation:

6 0

3 years ago