Answer:
To create function h, function f was translated 2 units right
, translated 4 units up and reflected across the x axis
Step-by-step explanation:
Given
Required
Complete chart
First: f(x) was translated right by 2 units
The rule of right translation is 
So, we have:
Next: f'(x) was translated up by 4 units
The rule of down translation is 
So, we have:
Lastly, f"(x) was reflected across the x-axis;
The rule of this reflection is: 
So, we have:
![h(x) = -[(x+2)^3 + 4]](https://tex.z-dn.net/?f=h%28x%29%20%3D%20-%5B%28x%2B2%29%5E3%20%2B%204%5D)
Remove bracket
The percentage shows that they were 28% more likely to come from Riverdale High school.
<h3>How to calculate the percentage?</h3>
From the information given, the percentage of those from Rockport will be:
= 25/(25 + 44) × 100.
= 25/69 × 100
= 36.23%
The percentage of those from Riverdale will be:
= 44/(25 + 44) × 100.
= 44/69 × 100
= 63.77%
Therefore, the difference will be:
= 63.77% - 36.23%
= 28% approximately.
Learn more about percentages on:
brainly.com/question/24304697
Answer:
y = 1/6 x^2 + 8/3 x + 49/6
Step-by-step explanation:
This is a parabola which opens upwards.
The distance of a point (x, y) from the focus is
√[(x - -8)^2 + (y - -1)^2] and
the distance of the point from the line y = -4
= y - -4
These distances are equal for a parabola so:
√[(x - -8)^2 + (y - -1)^2] = y + 4
Squaring both sides:
(x + 8)^2 + (y + 1)^2 = (y + 4)^2
x^2 + 16x + 64 + y^2 + 2y + 1 = y^2 + 8y + 16
x^2 + 16x + 64 + 1 - 16 = 8y - 2y
6y = x^2 + 16x + 49
y = 1/6 x^2 + 8/3 x + 49/6 is the equation of the parabola.
Answer:
icecream = $2.99
donut = $1.19
creamcake = $4.99
Step-by-step explanation:
The picture shows $7.17 for 2 x ice-cream and 1 donut
We are given 3 cream cakes that total 14.97 we divide by 3 = 4.99
9.17- 4.99=4.18
=5.37-4.18 =1.19
we can then fill out the boxes.
1.19 +1.19 = 2.38 = 5.37-2.38= £2.99
2.99 +2.99 +1.19 = $7.17
We can see total first two rows = $12.56
2.99+2.99+2.99 +1.19 +1.19+1.19 = $12.56
