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
The number sentence that is true is B. 2.9 x 104 < 2.25 x 1011
2.9 x 104 = 301.6
2.25 x 1011 = 2,274.75
Therefore, 301.6 is less than (<) 2,274.75
Answer:
y=-7x+6
Step-by-step explanation:
-21 divided by 3x is- 7x . 18 divided by 3 is 6.
Answer:
No
Step-by-step explanation:
integers ar full numbers and cant have decimals or fractions
Answer:
D
Step-by-step explanation:
3x2 + x - 7 + x2 + 10
4x^2+x+3