Quadratic Application Problems

What key feature are you looking for on a graph, if the word problem is: The equation for leaping off a cliff is h = -16t^2 + 8t +24. How long will it take for you to hit the water?

• Zeros (Solutions)

• Axis of Symmetry

• Vertex

• y-intercept

A dolphin jumps from the water at at initial velocity of 16 feet per second. The equation h = -8t² + 16t models the dolphin's height at any given time, t. What part of the graph will you use to answer how high the dolphin jumps?

• positive zero (x-intercept/solution)

• negative zero (x-intercept/solution)

• x of the vertex

• y of the vertex

• y-intercept

Members of the math club launch a model rocket from ground level with an initial velocity of 96 ft/sec. This can be modeled with the function h(t) = -16t² + 96t. What part of the graph will you use to find when the rocket is at its maximum height

• positive zero (x-intercept/solution)

• x of the vertex

• y of the vertex

• y-intercept

If I want to find out when an object hits the ground, I should _________.

• find the y-intercept

• find the x-intercept

• find the x of the vertex

• find the y of the vertex

If I want to find the maximumheight of an object, I should_____.

• find the y-intercept

• find the x-intercept

• find the x of the vertex

• find the y of the vertex

What part of the graph do you use to answer the following question:

Your cousin hit a golf ball with an initial velocity of 27 feet per second. The equation h = -6t² + 27t models the golf ball's height in feet t seconds after the ball was hit. How long after being hit did the ball reach maximum height?

• positive zero (x-intercept/solution)

• negative zero (x-intercept/solution)

• y-intercept

• x of the vertex

• y of the vertex

What part of the graph do I use to answer the following:

A lizard is jumping across the water in search of food. The equation h = -12t² + 6t models the lizard's height in feet above the water t seconds after he jumps. How long is the lizard in the air?

• positive zero (x-intercept/solution)

• negative zero (x-intercept/solution)0.25 seconds

• x of the vertex

• y of the vertex

• 1 second

When a basketball is shot, it forms an arc (also known as a parabola). If the height of the ball is modeled by a quadratic function, what part of the graph will I look for to find when it is at its maximum height?

• x-intercept

• y-intercept

• x of the vertex

• y of the vertex

Members of the math club launch a model rocket from ground level with an initial velocity of 96 ft/sec. This can be modeled with the function h(t) = -16t² + 96t. What part of the graph will you use to find when the rocket hits the ground?

• positive zero (x-intercept/solution)

• x of the vertex

• y of the vertex

• y-intercept