<span>y = x^3 {compression factor places coefficient out in front of the polynomial}
y = (1/7) x^3 {horizontal shift 8 units to the left changes all x to x + 8}
y = (1/7) (x+8)^3 {Reflection across the x axis makes all y values negatives of one another}
-y = (1/7) (x+8)^3 {Now multiply by -1 to get y = f(x) form}
y = (-1/7) (x+8)^3 </span>
M is the miles you can drive
The equation will be
The limo can travel at least
333 miles.
Answer:
Let Y represent Years. (300 x Y) + 15000.
Step-by-step explanation: Well, 2 percent of 15000 is 300, so per year the populations increases by 300 people.
The equation of parabola is y = -8(x -3)² - 9.
<h3>Define parabola.</h3>
A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. A parabola can be described using a point and a line.
Given Data
Focus = (3, -9)
Directrix: y = -5
The focus-passing line has an equation of x = -5 that is perpendicular to the directrix. The symmetry line of a parabola is seen here.
The parameter of the parabola is the separation between the focus and the directrix, so
p = -9 - 3
p = -12
p = 12
The distance between the focus and the directrix is divided into two equal portions by the parabola's vertex, which is located on the line of symmetry. Its coordinates are as follows: (3,-9).
Since a parabola moves in the opposite direction of y, its equation is
y -(-9) = -2(4(x -3)²)
y + 9 = -8(x-3)²
y = -8(x -3)² - 9
The equation of parabola is y = -8(x -3)² - 9.
To learn more about parabola, visit:
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