Graphing Quadratics and Dividing Polynomials

What is the vertex of y= x² - 8x + 14 ?

• (2, 4)
• (-4, -2)
• (4, -2)
• (-2, 4)

Find the vertex of the quadratic:
y = -2x² + 4x + 3

• (0, 3)
• (-1, 5)
• (1, 5)
• (1, -5)

• A
• B
• C
• D

Tags

CCSS.HSF-IF.C.7A

• A
• B
• C
• D

Tags

CCSS.HSF-IF.C.7A

• A
• B
• C
• D

Tags

CCSS.HSF-IF.C.7A

Find the points where the graphs with the equations y = x² - x - 18 and the y = x- 3

• (-5,-2) and (3,6)

• (2,5) and (3,-6)

• (5,2) and (-3,-6)

• (5,-2) and (3,6)

Tags

CCSS.HSA.REI.C.7

A small manufacturing company makes and sells x machines each month. The monthly cost C, in dollars, of making x machines is given by . C (x ) = 2600 + 0.4 x²

The monthly income I, in dollars, obtained by selling x machines is given by I (x ) = -x² +150x - 2600

The maximum profit occurs at the vertex of the function . How x many machines should be made and sold each month for a maximum profit ?

• 55

• 67

• 75

• 90

An object is launched from a platform.

Its height (in meters), x seconds after the launch, is modelled by:

h(x)= -5x² +20x +60

What is the height of the object at the time of launch?

• 120

• 30

• none of these

• 60

• A
• B
• C
• D

Tags

CCSS.HSF-IF.C.7A

Marquise has 200 meters of fencing to build a rectangular garden.

The garden's area (in square meters) as a function of the garden's width x (in meters) is modelled by:

A(x)= -x²+100x

What is the maximum area possible?

• 2500

• 5000

• 2250

• 2750