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Some fireworks are fired vertically into the air from the ground at an initial velocity of 80 feet per second. This motion can be modeled by the quadratic equation s(t) = -16t^2 + 80t. If a problem asks you to find how high the firework can go (this is the point where it explodes), what are they asking you for? (a) x coordinate of the vertex (b) y coordinate of the vertex (C) x coordinate of the roots (d) y coordinate of the roots



Answer :

We are to know the highest point of the fireworks.

If we graph the quadratic, we will have a parabola with a maximum.

We basically want the maximum point. This occurs at the vertex.

• The x-coordinate of the vertex is at what time the maximum point occurs.

,

• The y-coordinate of the vertex is the exact height (max).

Thus, when we are asked to find how high the firework can go, we will find the y-coordinate of the vertex.

Answer(b) y coordinate of the vertex

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