The path of a dirt bike rider follows during a jump is given by y=-0.35x^2+3x+12 where x is the horizontal distance (in feet) from the edge of the ramp and y is the height(in feet). what is the maximum height of the rider during the jump?

The highest height that can be reached is feet.

Step-by-step explanation:

The height is .

Therefore, the maximum height is the -coordinate of the vertex.

When an equation is in standard form, , we can use the following formula to compute the -coordinate of the vertex:

.

So let's compare our equation to , this gives us:

.

Let's begin the -coordinate computation of the vertex:

(Multiply by 10/10)

To find the corresponding -coordinate of the vertex given the -coordinate, we just replace in with giving us:

I will put the right hand side into my calculator:

The highest height that can be reached is feet.

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step-by-step explanation:

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