1.) Let's find out the slope. Checking the Graph, locating two coordinate points. Looking at the graph picking (-4,0) and (0,1)
Inserting those points into that slope formula:
2) According to the second picture. Let's pick two other points. (1,0) and (1,1)
Inserting those points into the formula:
a)0. False.
Thus it can't be 0, since it's not a constant function, and its line it's not parallel to axis x.
b) 1. False 1≠ 1/0
c) True. This quotient is not defined for the set of Real Numbers.
d) False.
3) In a perpendicular line its slope is given by - of another line.
In addition to this we need to know the line general equation
.
From this equation y - 2 = 7/3(x + 5) let's get the slope of our perpendicular line: m= -3/7x
The point (-4, 9) will supply the other two points, let's insert them all
y -9=-3/7(x+4)
C)
4)
a) True. Easily checked by looking at the graph interception.
b) False.
c) False
d) False
5)
B) True. Since the y- intercept of y=|x| is 3.
1) A
2) C
3) B
4) A
5) D
6) C
1.) Let's find out the slope. Checking the Graph, locating two coordinate points. Looking at the graph picking (-4,0) and (0,1)
Inserting those points into that slope formula:
2) According to the second picture. Let's pick two other points. (1,0) and (1,1)
Inserting those points into the formula:
a)0. False.
Thus it can't be 0, since it's not a constant function, and its line it's not parallel to axis x.
b) 1. False 1≠ 1/0
c) True. This quotient is not defined for the set of Real Numbers.
d) False.
3) In a perpendicular line its slope is given by - of another line.
In addition to this we need to know the line general equation
.
From this equation y - 2 = 7/3(x + 5) let's get the slope of our perpendicular line: m= -3/7x
The point (-4, 9) will supply the other two points, let's insert them all
y -9=-3/7(x+4)
C)
4)
a) True. Easily checked by looking at the graph interception.
b) False.
c) False
d) False
5)
B) True. Since the y- intercept of y=|x| is 3.
1) A
2) C
3) B
4) A
5) D
6) C
Each output for y = x - 3 is 3 less than the corresponding output for y = x
The graph of y = x - 3 is the graph of y = x translated down 3 units ⇒ 3rd
answer
Step-by-step explanation:
- If the function f(x) translated vertically down by k units, then the image
of the function is g(x) = f(x) – k
- Remember: x is the input and y is the output of the function
∵ y = x
∵ y = x - 3
- That means the output of the first function (y) is subtracted by 3
∴ y = x is the parent function of y = x - 3
∴ y = x - 3 is the image of the function y = x by translation
3 units down
* Each value of y in the function y = x - 3 is 3 less than
the value of corresponding y in the function y = x
∵ The graph of the function y = x passing through the origin point (0 , 0)
- When we subtract from the y-coordinate of the origin 3 the new point
will be (0 , -3)
∴ The graph of the function y = x -3 intersect the y-axis at point (0 , -3)
* The graph of y = x - 3 is the graph of y = x translated 3 units down
The answer is:
Each output for y = x - 3 is 3 less than the corresponding output for
y = x
The graph of y = x - 3 is the graph of y = x translated down 3 units.
It will provide an instant answer!