Applying and analysing quadratic functions

The height in feet of a golf ball hit into the air is given by

h = -16t² + 80t, where t is the number of seconds elapsed since the ball was hit.

What is the maximum height of the golf ball?

• 100 feet

• 96 feet

• 64 feet

• 5 feet

Find the height of the ball when it traveled a distance of 10 feet.

• 12.8 ft
• 13.3 ft
• 11.1 ft
• 17 ft

What algebraic term are you solving for if the word problem is: 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. When does the rocket land?

• x-intercept

• y -intercept

• vertex

• axis of symmetry

At what prices for a lemon slicer is the company expected to make no money.

• $10 and $50
• $30
• $10 and $60
• $20 and $40

A ball is thrown into the air with an upward velocity of 64 ft/s. Its height, h, after t seconds is given by the function

h = -16t² + 64t + 960.

When will the ball hit the ground?

• 10 seconds

• 2 seconds

• 5 seconds

• 7 seconds

Jake built a rocket and launched it from a hill by his house.  The function, f(x), models the rocket’s height above sea level x seconds after the launch.

f(x) = (x + 0.5)(20 - x)

From what height did Jake launch the rocket?

• 20 feet

• 10 feet

• 9.75 feet

• 105 feet

Answer explanation

Graph the function.

Focus on the first quadant.

Label the x & y axis.

Read each point with the label (seconds, height).

Point (0,10) means that at 0 seconds, the height was about 10 feet.

A rectangular table is placed on a rectangular mat. The width of the mat is 4 feet greater than the length, x, of the mat. The width of the table is 2 feet less than the width of the mat. The length of the table is 4 feet less than the width of the table. Which function represents the area of the mat not covered by the table?

• Show your work draw the actual figure and label. Translate in mathematical equations.

• Area means to multiply, once you're done then subtract the two AREAS.

Tags

add and subtract a polynomial

Neha is trying to find HOW MANY SECONDS it will take a golf ball TO GET TO ITS HIGHEST POINT after being hit on the golf course.

Which should she look for?

• x-value at the vertex

• y-value at the vertex

• where the curve hits the x-axis (positive x-intercept)

During an archery competition, an archer shoots an arrow. The arrow follows the parabolic path shown, where x and y are measured in meters.

What does the y-intercept represent?

• Time of the arrows flight

• Time for the arrow to reach its maximum height

• The distance the arrow flew

• The initial height of the arrow