The general vertex form is this:
v(x) = a (x-h)2 + k
where (h,k) is the coordinates of the of vertex.
and a indicates the widening or shrinking of the function compared to another parabolic function. If a become bigger, the graph becomes narrower. If a becomes negative, the graph is reflected over the x-axis.
Comparing f(x) = x2 with g(x) = -3(x+6)2 + 48, we have the following transformations:
The graph is reflected over the x-axis
The graph is made narrower.
The graph is shifted 6 units to the left.
The graph is shifted 48 units up.
From the choices we only have:
<span>The graph of f(x) = x2 is made narrower</span>
She does not use her creator card a lot or she does not purchase many expensive items
Here we are dealing with combinations without repetitions.
Let's write the form of a name.
For names starting with W:
W _ _ _
For names starting with K:
K _ _ _
We are allowed to use only lettrs from F to X. That's total of 19 letters. We are not allowed to repeat letters so for each letter we can choose from one less available letters.
Let's start with names begining with W. We will write how man possible letters we can choose from.
W 18 17 <span>16
</span>At second possition we can choose from 18 letters because we must not repeat letters and W is placed in front of X in alphabet.
At third position we can choose from 17 letters becasue we already chose two of 19 possible letters.
At fourth position we can choose from 16 letters becasue we already chose three of 19 possible letters.
To calculate total number of possible names we need to multiply these numbers:
1 * 18 * 17 * 16 = 4896
Same calculation can be done for names starting with K. We would get same number as solution.
Total number of possible names starting with W or K is 4896 + 4896 = 9792
Step-by-step explanation:
Volume = lwh
V = 23 x 24 x 8
V = 4416ft^3
Ft - Yd:
4416ft^3 = 163.5556^3 yd
(I'm not actually sure about this as I don't use the imperial system)
Answer:
Option 2: y = 6x + -4
Step-by-step explanation:
y = mx + b
y = 6x + -4
