Respuesta :
The system of equations models the paths of the two skate is y = 0.08x²-1.6x+13 and y = 5(x-10)²+5. The correct option is b.
What is quadratic equation?
The equation with second degree of an unknown variable x, y, m, n, or p is called the quadratic equation.
David starts at (20, 13) and skates along a path that can be modeled by a quadratic equation with a vertex at (10, 5).
Vertex form of quadratic equation is
y =a (x -h)² +k where (h,k) is the vertex.
We plug in (10,5) for h and k
y= a (x -10)² +5
Now plug in (20,13) in the above equation and find out 'a'
13 = a (x -10)² +5
13 = a(10)² +5
13 = 100a + 5
Solving for a, we get
a = 0.08
Substitute 0.08 for 'a' then the equation becomes
y= 0.08 (x -10)² +5
Thus, the correct option is b.
Learn more about quadratic equations.
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