The absolute value shows how far away the number is from 0 on the number line. For example, |-5| = 5 because -5 is 5 numbers away from 0.
Answers:
g(x) h(x) d(x)
vertical shift down 3 reflection across the x-axis vertical shift down 3
horizontal shift left 3 vertical strecht of 3 horizontal shift right 3
Quadratic parent: f(x)=x^2
The graph is a parabola with vertex V=(0,0) at the origin and opens up.
When x=1→f(1)=1^2→f(1)=1
1) g(x)
The graph opens up, then there is not a reflection across the x-axis.
The vertex is at the point (-3,-3): 3 units to the left and 3 units down of the vertex of the parent funtion.
When x is 1 unit to the right from the vertex g(x)=1
Then the transformations were applied to the cuadratic parent function are:
1.1) vertical shift down 3.
1.2) horizontal shift left 3.
2) h(x)
The graph opens down, then there is a reflection across the x-axis.
The vertex is at the origin (0,0).
When x is 1 unit to the right from the vertex h(x)=-3
Then the transformations were applied to the cuadratic parent function are:
2.1) reflection across the x-axis.
2.2) vertical strecht of 3.
3) d(x)
The graph opens up, then there is not a reflection across the x-axis.
The vertex is at the point (3,-3): 3 units to the right and 3 units down of the vertex of the parent funtion.
When x is 1 unit to the right from the vertex d(x)=1
Then the transformations were applied to the cuadratic parent function are:
3.1) vertical shift down 3.
3.2) horizontal shift right 3.
Answer:
4 hours 48 minutes
Step-by-step explanation:
Right now, in this problem the whole set comprises of a single day and you know that there are 24 hours in a day.
In order to solver the problem,you have to draw a number line of length 24 and then separate it into 5 equal parts. (because there are total five brothers)
or simply, just divide 24 by 5.
= 24/5 => 4
hours
lets convert 4/5 hour to minutes, as you know there are 60 minutes in one hour.
therefore, 4/5 x 60= 48 minutes.
Answer: Each brother will spend 4
hours watching the puppy in single day, which is likewise 4 hours 48 minutes
Answer:
7 pepperoni pizzas
Step-by-step explanation:
First, you take the biggest number and subtract it by 9.5 until you get a number that can be divided into 11 which is 77.
Answer:
x≤16
Step-by-step explanation:
1/2x - 3 ≤5
Add 3 to each side
1/2x -3+3 ≤5+3
1/2x≤8
Multiply each side by 2
1/2x*2 ≤8*2
x≤16