Step-by-step explanation:
General equation of a parabola parallel to the x-axis: (y - k)^2 = 4p(x - h).
Vertex = (h, k) = (0, 0)
Directrix: x = h - p = -2.
Since h and k are 0, p must be 2.
Therefore the equation is y^2 = 8x.
Answer:
Option (2).It has a vertical translation by 2 units in the positive direction.
Step-by-step explanation:
Given question is not complete: find the complete question with attachment
Errol's bike ride can be modeled by the equation,

Slope of the given equation =
which shows the rate of change of distance from Errol's house
Y-intercept = 2, shows the distance of the school from Errol's house
Let the equation that represents the distance of Daniel's home from the school is,
y = mt + b
Since speed of Daniel is equal to the speed of Errol, slopes of both the equations will be same.
Since y-intercept 'b' represents the distance from his home, b = 4
Now the equation will be,

Therefore, the graph representing the Daniel's equation will have a vertical translation by 2 units in the positive direction.
Answer:
1) x
2) x√2
3) x
Step-by-step explanation:
Hello from MrBillDoesMath!
Answer: x = 10 for 4x - 8 = 32
x = -5 for 2(x-5) = -20
Discussion:
------------------------------
4x - 8 = 32 (*)
Add 8 to both sides:
4x - 8 + 8 = 32 + 8 =>
4x = 40 =>
x = 10
-----------------------------------------------
2(x-5) = 2x - 2(5) =>
2x - 10 = -20 (**)
Add 10 to each side of (**):
2x - 10 + 10 = -20 + 10 =>
2x = -10
x = -5
Thank you,
MrB
Answer:
<u><em>Answer is below</em></u>
Step-by-step explanation:
<u><em>Multiply both sides by -2.</em></u>
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<em><u>Divide both sides by 12.</u></em>
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