Answer:
Step-by-step explanation:
The directrix y=-6 is parallel to the x axes, so parabola has equation of the form
where 
is the vertex of parabola and p is parabola's parameter.
By the definition, 
is the distance from the vertex to the directrix, so
Hence, the equation of parabola is
See attached diagram for the graph of parabola and its directrix.
In vertex form this equation is
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Answer:
y = 4x + 48
Step-by-step explanation:
Original equation:
y = 1/4x -12
Switch 'x' and 'y' to solve for the inverse:
x = 1/4y - 12
Add 12 to both sides:
x + 12 = 1/4y - 12 + 12
x + 12 = 1/4y
Multiply both sides by 4:
4(x+12) = y
4x + 48 = y
The inverse is y = 4x + 48
Answer:
Absolute value equation: |x - 13| = 5
Step-by-step explanation:
The midpoint between 8 and 18 is;
(8 + 18)/2 = 26/2 = 13
This means that the distance between 13 and either 8 or 18 will be 5.
Now, the absolute value equation will have to say that the distance between x and 13 is 5.
Thus, plugging those numbers into the pattern of |x - m| = b. Where m is the midpoint and b is the distance from midpoint to either values of x.
This gives us the absolute value equation: |x - 13| = 5
Answer:
C. y = 60x + 120
Step-by-step explanation:
The cost increases by $60 for every hour you rent, so '60x' represents this part of the equation. Since it increases $60 for each hour, there is a flat rate of $120 to rent the limo since at the first hour, the cost is $180. $180 - $60 = $120
