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harleycochran2ovyt3n
18.10.2019 •
Mathematics
Acoordinate grid is mapped onto a video game screen, with the origin at the lower left corner. the game designer programs a turtle to move along a linear path that passes through the points (0, 0) and (10, 8).
the designer also programs a bird with a path that can be modeled by a quadratic function. the bird starts at the vertex of the path at (0, 20) and passes through the point (10, 8).
what are the values of the constants in the vertex form of the quadratic equation that models the bird's path?
h=
k=
a=
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Ответ:
The bird follows a parabolic path.
The values of h, k and a are:
![\mathbf{a = -0.12}](/tpl/images/0332/8121/8a841.png)
The given parameters are:
The vertex of a quadratic function is represented as:
Vertex = (h,k)
So, by comparison:
The general equation of parabola is:
Substitute values for h and k
Substitute![\mathbf{(x,y) = (10,8)}](/tpl/images/0332/8121/b1336.png)
Subtract 20 from both sides
Divide both sides by 100
So, we have:
Read more about equations of parabola at:
link
Ответ:
Ответ: