Modeling Quadratics

Determine the curve of best fit using quadratic regression on your calculator.

• y = -2.7x + 7.4

• y = 0.95x² - 2.08x - 0.75

• y = -.05x - 3.26

• y = 0.95x² + 2.08x + 0.75

Calculate the quadratic regression function for this table of values to the nearest tenth.

• f(x) =
   2x² - 9x + 10

• f(x)=
   3x² + 9x - 10

• f(x) =
   3.1x² - 9.2x - 10.3

• f(x) =
  2.1x² - 8.6x + 10.1

The function f(t) = -5t²+20t + 60 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground?

• 4 seconds

• -2 seconds

• 6 seconds

• 9 seconds

A diver is standing on a platform above the pool. He jumps form the platform with an initial upward velocity of 8 ft/s. Use the formula: h(t) = −16 t² + 8t + 24

How high is the platform?

• .25 ft

• 24 ft

• 25 ft

• 8 ft

The profit from selling local ballet tickets depends on the ticket price. Using past receipts, we find that the profit can be modeled by the function: p= -15x2 +600x +60 What is the maximum profit you can make from selling tickets?

• $6060

• $20

• $600

• $10,250

The profit from selling local ballet tickets depends on the ticket price. Using past receipts, we find that the profit can be modeled by the function p= -15x² +600x +60 , where x is the price of each ticket. What is the maximum profit you can make from selling tickets?

• $20

• $6060

• $7,120

• $9,250

• $10,050

If a vertex is at the top of a parabola, it is called a...

• Maximum

• Minimum

• y-intercept

• x-intercept

'Roots', 'zeros', and 'solutions' are all words that mean...

• y-intercept

• vertex

• plug in a value for x

• x-intercept

Determine what the question is asking for:

A company sells laptops for a fixed price. Determine the number of laptops needed to be sold for the company to make the maximum profit.

• y-intercept

• vertex

• plug in a value for y

• x-intercept

The place(s) where a graph crosses the x axis are called...

• Solutions

• y-intercepts

• vertex

• maximum