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melomori [17]
3 years ago
8

The center of an ice rink is located at (0, 0) on a coordinate system measured in feet. Sandi skates along a path that can be mo

deled by the equation y = 0.08x2 - 1.6x + 13. David starts at (20, 13) and skates along a path that can be modeled by a quadratic function with a vertex at (10, 5). Which system of equations models the paths of the two skaters? y = 0.08x2-1.6x+13 and y = 0.08(x-10)2+5 y = 0.08x2-1.6x+13 and y = 1.6(x-10)2+5 y = 0.08x2-1.6x+13 and y = 0.8(x-10)2+5 y = 0.08x2-1.6x+13 and y = 5(x-10)2+5
Mathematics
2 answers:
navik [9.2K]3 years ago
5 0
Y = 0.08x2-1.6x+13 and y = 0.08(x-10)2<span>+5 is the correct answer :)</span>
Karolina [17]3 years ago
3 0

Answer : y = 0.08x^2 - 1.6x + 13 and y= 0.08 (x- 10)^2 + 5

Sandi skates along a path that can be modeled by the equation

y = 0.08x^2 - 1.6x + 13

David starts at (20, 13) and skates along a path that can be modeled by a quadratic function with a vertex at (10, 5).

Vertex form of quadratic function 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(20 - 10)^2 + 5

13 = a(10)^2 + 5

13 = 100 a + 5

Subtract 5 on both sides

8 = 100a

a = 0.08

When we plug in 0.08 for 'a' then the equation becomes

y= 0.08 (x- 10)^2 + 5


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