Given:
The function is
This function is changed to f(x)+9.
To find:
The effect on the graph of the function.
Solution:
The translation is defined as
.... (1)
Where, b is vertical shift. If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
The new function is
...(2)
From (1) and (2), we get
So, the graph of f(x) shifts 9 units up as shown in the below graph.
I think the best way to solve this is to convert the ratios into fractions and then subtract from there :)
Answer:
axis of symm: x = -1
vertex: (-1, -4)
domain: all real numbers
range: y ≥ -4
x-intercepts: 1, 3
y-intercept: -3
minimum at (-1, -4)
Step-by-step explanation:
Answer:
I am going with B
Step-by-step explanation:
Okay so there are 3 columns so I'm 100% you'll do the equation times 3. The equation will be addition because there is no multiplication sign there. its 54+5*3 the only thing that matches that is B
Total = 16 marbles
R = 4
B = 7
G = 5
a)
P(R) = 4/17
with replacing it P(B) = 7/17
so
P(R, then B) = 4/17 x 7/17 = 28/289
b)
P(R) = 4/17
no replacing, P(B) = 7/16
so
P(R, then B) = 4/17 x 6/17 = 24/289
c)
The answers to parts a and b are not the same.
Part a (28/289) with replacing, the probability to select a red then blue is higher then part b (24/289)
