The function y=-0.296x^2+2.7x models the length x and height y that your sister's pet rabbit can jump, in centimeters. What is the maximum height that the rabbit can reach during its jump? Once the rabbit reaches the ground, what is the total length of its jump?

Question

sunnnystrong · Answer

If:
$$y=-0.296x^2+2.7x$$
& y= height rabbit jumps & x= length rabbit jumps
What is max height rabbit can jump?

There are many ways you can solve this...
Recall that:
Parabola->
$$y=ax^2+bx+c$$
Solving for the x coordinate of the vertex:
$$x=\frac{ -b }{ 2a }$$
Let a= -0.296 & b=2.7
$$x=\frac{ -2.7}{ 2(-0.296) }$$

$$x=4.56$$

Find y-coordinate when x= 4.56
... y=6.15

sunnnystrong · Answer

So... the rabbit can reach a maximum jumping height of 6.15cm

sunnnystrong · Answer

The second part of that question: It is asking when the rabbit reaches the ground... how far the rabbit jumped... imagine:

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sunnnystrong · Answer

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