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a. A parabola opening upward, shifted 8 units right, and 5 units down.
b. A parabola with a stretch factor of 10, sitting with its vertex on the x-axis at x = -6.
c. A downward opening parabola with vertex (-7, -2) and a vertical compression of 0.6.

Respuesta :

Answer:

A) y=(x-8)^2-5

B)y=10(x+6)^2

C) y=-0.6(x+7)^2-2

Step-by-step explanation:

The parabola seems to be a planar curve that is mirror-symmetrical and roughly U-shaped, and further discussion can be defined as follows:

  • It is a curve whereby any point would be at an equal distance from a fixed location (or focus) and a fixed straight line (the directrix ).
  • The general equation is:

             [tex]\to \bold{y = a(x-h)^2 + k \ \ \ OR \ \ \ x = a(y-k)^2 +h}[/tex]

  • where [tex]\bold{ (h,k)}[/tex] signifies the vertex. The typical equation for a normal parabola is[tex]\bold{ y^2 = 4ax}[/tex].

Following are the equation to the given points:

[tex]\bold{A)\ \ y=(x-8)^2-5}\\\\\bold{B)\ \ y=10(x+6)^2}\\\\\bold{C)\ \ y=-0.6(x+7)^2-2}[/tex]

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