Answer:
y = (x + 4.5)² - 13.25
Step-by-step explanation:
y = x² + 9x + 7
We need to get a perfectly squared binomial as part of the right side.
Take the '9x' term, divide it in half, square it, add <u>and also subtract it </u>on the right side, as shown below. That would be (4.5)² = 20.25 added <u>and </u>subtracted.
y = x² + 9x + 7
y = x² + 9x + 20.25 + 7 - 20.25
y = (x² + 9x + 20.25) - 13.25
y = (x + 4.5)² - 13.25
y = (x + 4.5)² - 13.25
Vertex Form is y = a(x-h)² + k, where the parabola vertex is (h, k)
So if you wrote this as y = 1(x - [-4.5] )² + (-13.25), we would see that a = 1, and h = -4.5 and k = -13.25.
Vertex = (-4.5, -13.25)
I verified on a graphing calculator that this is indeed the vertex of the parabola.
4,5,8,9,10
First, in order to find the median you have to put each number in order from least to greatest.
Your median is the number in the middle.
In this case that number is 8.
If you have an even amount of numbers, you will have to convert that into a decimal.
Hopefully this has helped!
You can stack the eight books on top of each other is one way. And then you can changed the order of how you stack the book 64 different ways. You can also do this vertically standing up. With the spin of the book facing in or out. You can arrange the. By height, color, alphabetically, thickness, year published... basically any individual characteristic they can have can be a way you stack a book.
(3x+6y=6) x 2
<u>(2x-3y =4) x 3
</u>
Subtract them:
(6x+12y =12)
<u>-(6x - 9y =12)
</u><u>21y</u> = <u> 0</u><u>
</u>21 21
y= 0
Using this, we can say that:
3X+6(0)=6 or 3x = 6
2X-3(0)=4 or 2x = 4
So therefore, x must equal 2.
The first option. (Dilated by a scale factor of 2 and translated 3 units to the right)
