Can someone please help me ??

Iteru [2.4K]

Answer:

y = x^2 +6x +8

Step-by-step explanation:

The vertex is (-3, -1), and the vertical scale factor is 1. (You can tell this because the graph goes up 1 unit for 1 unit either side of the vertex.) So, the vertex form of the equation is ...

y = (x +3)^2 -1 . . . . . . . . . vertex form; sometimes called standard form

Expanding this, we get ...

y = x^2 +6x +8 . . . . . . . . also called the standard form equation

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<em>Comment on standard form</em>

There are different versions of "standard form" depending on what you're concerned with and where you are. Please consult your text or other reference material for the version of standard form you need. (The attachments show the conflict with respect to quadratic equations.)

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<em>Comment on the graph</em>

The purpose of the graph attached is to show that the equation we propose produces the same curve as the one given.

8 0

3 years ago

Write a linear equation in standard form for the line that goes through (4,4)and (8,3)

Alexus [3.1K]

The standard equation of a line has the form:

y=mx+b

Where m is the slope of the line and b is the intercept.

The only thing we need to determine the equation of a line is two points, in this case, we have the points (4,4) and (8,3). Then, from the first point we know that when x equals 4 y equals 4 and from the second point we know that when x equals 8 y equals 3, we can express this with the standard formula of a line, like this:

4=m*4+b and 3=8*m+b

subtraction the second expression from the second one, we get:

4-3=m*4+b-8*m-b, we can cancel b and then we have:

4-3=m*4-m*8, we can subtract 3 from 4 in the left side and 8*m from 4*m from the right side and then:

1= -4*m , we can divide both sides by -4 and then:

m= -1/4

Now that we know the value of the slope, we only need to specify the value of b, we can do this by replacing the value of m in the expression 4=m*4+b of the first point and then solve for b, like this;

4=m*4+b, m=-1/4, then:

4= 4*(-1/4)+b, then:

4= -1+b, then, adding -1 in both sides we have:

4+1=b, then:

b=5

And the standar form of the line would be:

y=(-1/4)*x+5

5 0

1 year ago

Please i need solution of this

Dennis_Churaev [7]

( 1 - x/100)^20 = 3843/55550

Taking logs

20 log (1 - x/100) = log (3843/55550)

log ( 1 - x/100) = log (3843/55550) / 20 = -0.0580007
1 - x/100 = 10^-0.0580007 = 0.875
x / 100 = 1 - 0.875 = 0.125
x = 12.5 Answer

5 0

4 years ago

What's 3 and 1 in a half

noname [10]

The answer to the question is 4 1/2

7 0

3 years ago

QM Q9.) Write the standard form of the equation of the circle with the given center and radius.

pychu [463]

Hello there!

The standard form of the equation of a circle with center (h, k) and radius r is:

(x - h)² + (y - k)² = r²

So we have h = 4 and k = 3 and r = √5

So we just need to add these numbers to where they belong.

(x - 4)² + (y - 3)² = (√5)²

(x - 4)² + (y - 3)² = 5

Let me know if you have questions about the answer. As always, it is my pleasure to help students like you!

4 0

3 years ago