Ask question

Ask question

All categories

3 years ago

14

Write the Equation Parabola has a vertex at (2,5) and passes through the point (3,7)

1 answer:

spin [16.1K]3 years ago

6 0

Given a vetex (h,k) of a function parabola, the corresponding equation is:
$f(x)=a(x-h)^2+k$
With (h,k)=(2,5) we get the equation:
$f(x)=a(x-2)^2+5$
In order to find a, we use the given point (3,7) like this:
$7=a(3-2)^2+5\\7=a+5\\a=7-5=2$
The equation is then:
$f(x)=2(x-2)^2+5$

You might be interested in

I need help i dont understand this,and j have and i have a big test coming up please help thanks

levacccp [35]

Since both of the angles are supplementary, you'd set the expressions up into an equation equal to 180(degrees).
So, your equation should look like:
                       22x + 4 + 35x + 5 = 180.
Next, you combine your like terms so that your next move will look like:
                       57x + 9 = 180.
Then you'd follow the subtraction and division property, so your next moves will look as the following:
                       57x + 9 - 9 = 180 - 9 equals 171
                       57x / 57 = 171 / 57 equals 3
So, finally, your answer is: x = 3.

7 0

3 years ago

Count back write the difference = 11 - 3

sergey [27]

Answer:

11-3=8

Step-by-step explanation:

so your answer is going to equal 8

4 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7BQuestion%3A%7D" id="TexFormula1" title="\huge\boxed{Question:}" alt="\huge\b

iragen [17]

The equivalent expression for (x + 4)^5 is $x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x + 1024$

The expression is given as:

$(x + 4)^5$

To expand the expression, we make use of Pascal triangle, where:

5:= 1 5 10 10 5 1

So, we have:

$(x + 4)^5 = 1 * x^5 * 4^0 + 5 * x^4 * 4^1 + 10 * x^3 * 4^2 + 10 * x^2 * 4^3 + 5 * x * 4^4 + 1 * x^0 * 4^5$

Evaluate the exponents

$(x + 4)^5 = 1 * x^5 * 1 + 5 * x^4 * 4 + 10 * x^3 * 16 + 10 * x^2 * 64 + 5 * x * 256 + 1 *1 * 1024$

Evaluate the products

$(x + 4)^5 = x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x + 1024$

Hence, the equivalent expression for (x + 4)^5 is $x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x + 1024$

Read more about binomial expressions at:

brainly.com/question/13602562

7 0

2 years ago

Read 2 more answers

Four graphs are shown below:

Aleks [24]

graph b because only a and b are linear associations and only b and c are negative

5 0

3 years ago

Convert 17.42 m to customary units. A.57'-17/8" B. 36-10 1/2" C. 442 1/2" D. 367/8" E. None of these answers is reasonable.

Allushta [10]

Answer:

E. None of these answers is reasonable.

Step-by-step explanation:

Customary units are inches, feet, yards, and miles.

Since,

1 foot = 0.3048 meters,

⇒ 1 meter = $\frac{1}{0.3048}$ feet,

17.42 meters = $\frac{17.42}{0.3048}$ feet

$=\frac{174200}{3048}\text{ feet}$

$=57\frac{ 464}{3048}\text{ feet}$

$=57\frac{58}{381}\text{ feet}$

Now, 1 feet = 12 inches,

⇒ $\frac{58}{381}$ feet = $\frac{12\times 58}{381}$ inches

= $\frac{232}{381}\text{ inches}$

Hence,

17.42 meters = $57\text{ feet }\frac{232}{381}\text{ inches}$

= 57' 232/127''

That is, None of these answers is reasonable.

8 0

3 years ago