Answer:
A) f(x) = |x|
B) f(x) = -|x+3| + 3
Step-by-step explanation:
Absolute value functions
The general form of an absolute value function is f(x) = a|x-b| +c
a indicates the 'amplitude' or multiplier
b indicates horizontal shift
c indicates vertical shift
The turning point of f(x) = |x| is (0, 0)
a = y/x when b = 0 and c = 0
A) f(x) = |x|
Since the turning point is still (0, 0) there is no horizontal nor vertical shift, meaning b = 0 and c = 0
We have the point (2, 2), thus a = 2/2 = 1
f(x) = a|x-b| + c
f(x) = |x|
B) f(x) = -|x+3| + 3
The turning point is at (-3, 3) b = -3 and c = +3
We have the point (3, -3), thus a = y/x = -3/3 = -1
f(x) = a|x-b| + c
f(x) = (-1) (|x-(-3)|) + (+3)
f(x) = -|x+3| + 3
Step-by-step explanation:
315 calories for 3 miles.
315/3 = 105 calories for 1 mile
105×10 = 1050 calories for 10 miles
Answer:
f(x) = 3x2
Step-by-step explanation:
I think the given the scatter plot is missing and it is my attachment for your question.
My answer:
f(x) = 3x2, it is a parabolic pathway. a =3 (positive) so the line is going up.
The other options are straight lines so they are wrong.
$91/ 7 = $13 per dog
$117/$13 = 9 dogs
He washed 9 dogs
In an arithmetic sequence common difference will be constant. Common difference is the difference of next term to it's previous term. Like
common difference: d = Second term - first term.
Similarly in geometric sequence common ratio will be constant.
Common ratio = Second term / first term.
I have attached the table of correct match pair.
Hope this helps you!