From what I know this graph looks like that of a modulus function except it's shifted 1 unit to right and 1 unit below the origin.
So the original equation must be:
y = |x|
And the transformed equation (aka the equation if this graph) must be,
y+1 = |x| -1
y = |x| -2
Answer:
Step-by-step explanation:
In the first pattern, there were 6 sticks
In the second pattern, there were 10 sticks.
In the third pattern, there were 14 sticks.
Based on the pattern, we see that each time, 4 more sticks are added and that the initial amount of stick is 6.
Thus: the equation for how many sticks there would be in pattern n is:
# of sticks in pattern n = 6 + 4n
Hope that helps!
Answer:
Part 1) The product of 3 and 2y-4x=8 is 
Part 2) The original equation in slope intercept form is 
Part 3) The new equation in slope intercept form is
Step-by-step explanation:
we have
step 1
Find out the product of 3 and 2y-4x=8
Multiply both sides by 3
Apply distributive property both sides
step 2
Find out the original equation in slope intercept form
The equation of the line in slope intercept form is
we have
Solve for y
That means ----> Isolate the variable y
Adds 4x both sides
Divide by 2 both sides
Simplify
step 3
Find out the new equation in slope intercept form
The equation of the line in slope intercept form is
we have
Solve for y
That means ----> Isolate the variable y
Adds 12x both sides
Divide by 6 both sides
Simplify
Remark
All you need is 2 points to get the line of the equation. One is itself (B and B') is the same in both triangles. Now we need to find one more point. Since this is a reflection, the midpoint between C and C' is the second point. That choice of C and C' is completely arbitrary.
Step One
y intercept of the line. That point is B which is (0,1)
Step Two
Find the midpoint between C and C'
C is (-4,-2) and C' is ( 0 , - 4) The midpoint is
C" = (x2 + x1)/2 , (y2 + y1)/2
C" = (-4 + 0 )/2 , (-2 + - 4) / 2
C" = (-4)/2 , - 6/2
C" = (-2, - 3) C" is the midpoint between C and C'
Step 3
Find the equation of the line.
y = ax + b We are trying to find A
y = ax + 1
-3 = a(-2) + 1
-3 - 1 = a(-2)
- 4 = a(-2) Divide by -2
-4/-2 = a
a = 2
The slope of the line is 2
Answer
y = 2x + 1
Answer:
The answer is the 2nd box down, 20x⁷
