Key Features of a Parabola Word Problems

Partner 1

What is the vertex.

y = 3(x + 2)² - 1

• (2, -1)

• (-2, -1)

• (3, 2)

• (-3, 2)

Partner 2

What is the vertex?

y = -(x + 7)² - 3

• (7, 3)

• (7, -3)

• (-7, 3)

• (-7, -3)

Partner 1

Given the equation for this parabola:

y=-(x-4)²-3,

does this parabola have a maximum or minimum value?

• Maximum

• Minimum

Tags

CCSS.HSF-IF.C.7A

Partner 1

What is the equation of this graph?

• f(x) = (x -5)² + 1

• f(x) = (x - 1)² - 5

• f(x) = (x + 1)² - 5

• f(x) = (x + 5)² +1

Tags

CCSS.HSF-IF.C.7A

Partner 2

What is the axis of symmetry of the given function?

• y = 1

• y = -1

• x = 1

• x = -1

Partner 1

Which equation has a vertex of (-3, 4)?

• y = 2(x+3)² + 4

• y = (x+3)² - 4

• y = (x-3)² + 4

• y = 2(x - 3)² + 4

Partner 2

Given the equation for this parabola:

y=7(x-4)²-3,

does this parabola have a maximum or minimum value?

• Maximum

• Minimum

Tags

CCSS.HSF-IF.C.7A

Partner 2

Which inequality matches the graph?

• y > (x - 3)² - 2

• y>-(x+3)²-2

• y < -(x + 3)² - 2

• y< (x - 3)² - 2

Tags

CCSS.HSF-IF.C.7A

Partner 2

An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation s(t) = –16t² + 64t + 80. What will be the object's maximum height?

• 2 ft

• 80 ft

• 144 ft

• 64 ft

Partner 1

Heather dropped a water balloon over the side of her school building from a height of 80 feet. The approximate height of the balloon at any point during its fall can be represented by the following quadratic equation:

h = -16t² + 80

About how long did it take for the balloon to hit the ground?

• 1.73 seconds

• 2.24 seconds

• 2.45 seconds

• 2.83 seconds