Quadratic Relations

Ontario 10 Academic (MPM2D)

Applications of quadratics using graphs

A frisbee is thrown upward and and away from the top of a mountain that is $120$120 metres tall.

The height, $y$`y`, of the frisbee at time $x$`x` in seconds is given by the equation $y=-10x^2+40x+120$`y`=−10`x`2+40`x`+120.

This equation is graphed below.

Loading Graph...

a

What is the $y$`y`-value of the $y$`y`-intercept of this graph?

b

Which of the following descriptions corresponds to the value of the $x$`x`-intercept?

The maximum height reached by the frisbee.

A

The amount of time it takes for the frisbee to reach the ground.

B

The height of the mountain.

C

The amount of time it takes for the frisbee to reach its maximum height.

D

The maximum height reached by the frisbee.

A

The amount of time it takes for the frisbee to reach the ground.

B

The height of the mountain.

C

The amount of time it takes for the frisbee to reach its maximum height.

D

c

Given that the $x$`x`-value of the vertex is $2$2, what is the maximum height reached by the frisbee?

Easy

Approx 2 minutes

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