Applications of Quadratics

Applications of Quadratics

​

Multiple Choice

Where can I find the answer?

• x value of the vertex

• y value of the vertex

• x-intercept/solution

• y-intercept

Multiple Choice

Where can I find the answer?

• x value of the vertex

• y value of the vertex

• x-intercept/solution

• y-intercept

Multiple Choice

Where can I find the answer?

• x value of the vertex

• y value of the vertex

• x-intercept/solution

• y-intercept

Multiple Choice

Where can I find the answer?

• x value of the vertex

• y value of the vertex

• x-intercept/solution

• y-intercept

Multiple Choice

Where can I find the answer?

• x value of the vertex

• y value of the vertex

• x-intercept/solution

• y-intercept

What is the maximum height of the arrow?








What is a reasonable domain and range?

Multiple Choice

An object flies through the air and follows a parabolic path. What does the y-axis represent?

• time

• height from the ground

• horizontal distance

• money

Multiple Choice

An object flies through the air and follows a parabolic path. Which of these typically represents the x-axis?

• time

• height from the ground

Multiple Choice

Alain throws a stone off a bridge into a river below. The stone's height (in meters above the water), x seconds after Alain threw it, is modeled by:

h(x)= -5x² + 10x + 15

How many seconds after being thrown will the stone hit the water?

• -1 seconds

• 1 second

• 2 seconds

• 3 seconds

Multiple Choice

Alain throws a stone off a bridge into a river below. The stone's height (in meters above the water), x seconds after Alain threw it, is modeled by:

h(x)= -5x² + 10x + 15

What is the maximum height of the stone?

• -1 feet

• 1 second

• 1 foot

• 20 feet

Multiple Choice

Alain throws a stone off a bridge into a river below. The stone's height (in meters above the water), x seconds after Alain threw it, is modeled by:

h(x)= -5x² + 10x + 15

How long does it take the stone to reach it's maximum height?

• -1 feet

• 1 second

• 1 foot

• 20 feet

Multiple Choice

Alain throws a stone off a bridge into a river below. The stone's height (in meters above the water), x seconds after Alain threw it, is modeled by:

h(x)= -5x² + 10x + 15

How tall is the bridge? (Initial height of Alain and the stone)

• 20 feet

• 0 feet

• 15 feet

• 20 feet

Multiple Choice

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 after jumping is he back on the water?

• 0.1 seconds

• 0.25 seconds

• 0.50 seconds

• 0.75 seconds

• 1 second

Multiple Choice

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. What is a reasonable domain of the function?

• $$D:\left\{x|0\le x\le0.25\right\}$$

• $$D:\left\{x|0\le x\le0.75\right\}$$

• $$D:\left\{x|0\le x\le0.5\right\}$$

• 0.75 seconds

Multiple Choice

A soccer ball is kicked from the ground with an initial upward velocity of 90 feet per second. The equation h=-16t² + 90t gives the height h of the ball after t seconds.
How many seconds will it take the ball to hit the ground?

• 126.56 ft
• 5.625 sec
• 2.81 sec
• 0 ft

Multiple Choice

A soccer ball is kicked from the ground with an initial upward velocity of 90 feet per second. The equation h=-16t² + 90t gives the height h of the ball after t seconds.
What is the maximum height of the ball?

• 126.56 ft
• 5.625 sec
• 2.81 sec
• 90 ft

Multiple Choice

What is the initial (starting) height of an object following this path?

h(t) = -16t² +20t + 6

• -16 feet

• 0 feet

• 20 feet

• 6 feet

Multiple Choice

A rock is thrown into the air. t represents the time in the air and h(t) represents the height of the rock.

h(t) = -16t² +20t + 6

What is a reasonable range of the function?

• $$R:\left\{y|0\le y\le1.5\right\}$$

• $$R:\left\{y|0\le y\le0.625\right\}$$

• 12.25 feet

• $$R:\left\{y|0\le y\le12.25\right\}$$