The speed of a toy car over time can be represented by a parabola with minimum speed 2 m/s after 3 seconds. After 5 seconds, the car's speed is 3 m/s. What is the equation in vertex form of a parabola that represents the car's speed, y, over time, x?

Question

Mathematics

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12 July, 15:24

The speed of a toy car over time can be represented by a parabola with minimum speed 2 m/s after 3 seconds. After 5 seconds, the car's speed is 3 m/s. What is the equation in vertex form of a parabola that represents the car's speed, y, over time, x?

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Answers (2)

Know the Answer?

Moran · Answer 1

You have to solve x multiplying y

Maia Fry · Answer 2

Step-by-step explanation:

y=ax²+bx+c

x=0, y=0, c=0

y=ax²+bx

2=9a+3b (*-5)

3=25a+5b (*3)

add

9-10=75a-45a+15b-15b

30a=-1

a=-1 / (30)

2=9 * (-1/30) + 3b

3b=2+3/10=23/10

b=23/30

y=-1/30 x²+23/30=-1/30 (x²+23x + (23/2) ²) + 1/30 * (529/4)

y=-1/30 (x+23/2) ²+529/120