Answer:
1st- 4, 2nd- 9, 3rd- 14, 4th- 19, 5th- 24, 6th- 29, 7th- 34, 8th- 39, 9th- 44, 10th- 49, 11th- 54, 12th-59
Step-by-step explanation:
1st- 4
2nd- 4+15-10= 9
3rd- 9+15-10=14
4th- 14+15-10=19
5th- 19+15-10=24
6th- 24+15-10=29
7th- 29+15-10=34
8th- 34+15-10=39
9th- 39+15-10=44
10th- 44+15-10=49
11th- 49+15-10=54
12th-54+15-10=59
To find the x intercepts, we need to put the standard form equation into factored form.
Which two numbers multiply to -8 and add to -2?
So the factored form is
That means the x intercepts are at 
So now we have the x intercepts.
To find the vertex, we need to convert the standard form equation into vertex form.
The formula of vertex form is 
Since the a value in the standard form equation is 1, the a value in vertex form is also one.
The h value can be found using the formula 
Which comes out to 
or 1.
To find the k value, we can just plug in what we got for h back into the equation.
So the vertex is 
.
This also means the axis of symmetry is 
Finally, to find the y intercept, we plug in 0 for x and solve.
So the y intercept is 
.
Answer:
This is easy -- it's just a list of steps. At this level, the problems are pretty simple.
Let's just do one, then I'll write out the list of steps for you.
Find the inverse of f( x ) = -( 1 / 3 )x + 1
STEP 1: Stick a "y" in for the "f(x)" guy:
y = -( 1 / 3 )x + 1
STEP 2: Switch the x and y
( because every (x, y) has a (y, x) partner! ):
x = -( 1 / 3 )y + 1
STEP 3: Solve for y:
x = -( 1 / 3 )y + 1 ... multiply by 3 to ditch the fraction ... 3x = -y + 3 ... ditch the +3 ... subtract 3 from both sides ... 3x - 3 = -y ... multiply by -1 ... -3x + 3 = y ... y = -3x + 3
STEP 4: Stick in the inverse notation, f^( -1 )( x )
f^( -1 )( x ) = -3x + 3
Step-by-step explanation:
