Step-by-step explanation:
When deciding where to put an ordered pair on a graph its important to understand how ordered pairs work.
An ordered pair is split up into to pieces
(x,y) or number example (3,5)
When graphing the x coordinate will fall on your horizontal line or the line that looks like the horizon.
When graphing the y coordinate it will fall on your vertical line or the line that goes right up into the sky like a rocket.
To graph (3,5)
Go to the right 3 and up 5
Sometimes helps to use both fingers to keep your spot. Slide both fingers until they collide and that's where you would plot your point!
Hope this helps if you have an questions just comment and ill try to explain further.
Answer:
B. (-2,-4)
Explanation
Given equations:
y = 3x + 2
y = -2x - 8
Solving both equations will yield the values of x and y;
Solution:
y = 3x + 2 ----- (i)
y = -2x - 8 ------ (ii)
Using substitution method, input equation i, into ii
3x + 2 = -2x - 8
Collect like terms and solve;
3x + 2x = -8 -2
5x = -10
x = -2
Then put x = -2 into i, to find y
y = (-2 x 3) + 2
y = -6 + 2 = -4
So, the solution of the equation is B. (-2,-4)
Answer:
Algebraically, f is even if and only if f(-x) = f(x) for all x in the domain of f. A function f is odd if the graph of f is symmetric with respect to the origin. Algebraically, f is odd if and only if f(-x) = -f(x) for all x in the domain of f.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
you add c to both side which will then make it 7x=k+c then you would divide 7 from both sides leaving you with x=k+c/7. Except 7 will be under the k and c.
Answer:
case a) 
----> open up
case b) 
----> open down
case c) 
----> open left
case d) 
----> open right
Step-by-step explanation:
we know that
1) The general equation of a vertical parabola is equal to
where
a is a coefficient
(h,k) is the vertex
If a>0 ----> the parabola open upward and the vertex is a minimum
If a<0 ----> the parabola open downward and the vertex is a maximum
2) The general equation of a horizontal parabola is equal to
where
a is a coefficient
(h,k) is the vertex
If a>0 ----> the parabola open to the right
If a<0 ----> the parabola open to the left
Verify each case
case a) we have
so
so
therefore
The parabola open up
case b) we have
so
therefore
The parabola open down
case c) we have
so
therefore
The parabola open to the left
case d) we have
so
therefore
The parabola open to the right
