A frisbee is thrown upward 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=−10x2+40x+120.
This equation is graphed below.
What is the $y$y-value of the $y$y-intercept of this graph?
Which of the following descriptions corresponds to the value of the $x$x-intercept?
Given that the $x$x-value of the vertex is $2$2, what is the maximum height reached by the frisbee?
A rectangle is to be constructed with $80$80 metres of wire. The rectangle will have an area of $A=40x-x^2$A=40x−x2, where $x$x is the length of one side of the rectangle.
The formula for the surface area of a sphere is $S=4\pi r^2$S=4πr2, where $r$r is the radius in centimetres.
A compass is accidentally thrown upward and out of an air balloon at a height of $100$100 feet. The height, $y$y, of the compass at time $x$x in seconds is given by the equation
Solve problems arising from a realistic situation represented by a graph or an equation of a quadratic relation, with and without the use of technology