Quadratic From Patterns

How many blocks would be in the 8th step in the sequence?

• 65

• 82

• 13

• 36

How many dots would be in the 10th step in the sequence?

• 65

• 85

• 50

• 40

Find the n^th term for the following quadratic sequence...

4, 14, 30, 52, 80...

• 3n² + n

• 2n² + n

• 3n² - n

• 2n² - n

Find the n^th term for the following quadratic sequence... 0, 5, 12, 21, 32...

• n² + 2n + 3

• 2n² + 2n + 3

• n² - 2n - 3

• n² + 2n - 3

A ball is thrown into the air with an upward velocity of 40ft/s. Its height h in feet after t seconds is given by the function : h(t) = -16t^2 + 40t + 10 How many seconds does it take the ball to reach its maximum height?

• 1.25 seconds

• 1.4 seconds

• 2.5 seconds

• 2 seconds

A frog is sitting on the ground when he is scared by a big dog. His movement is modeled by the equation h = -6t² + 6t where h is the frog's height at any given time, t . How many seconds until the frog is back on the ground?

• 0.5 seconds

• 1 second

• 1.5 seconds

• 2 seconds

• 3 seconds

How fast would you reach the water if you jump of a cliff using the formula:    h(t) = -16t² + 8t + 24?

• 8

• 1

• 1.5

• 1/4

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 = -16t^2 + 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

Given the following tile pattern, how many tiles would be in the 5th shape?

• b = 8

• b = 11

• b = 7

• b = 9

Based on the rate of change, how many circles would come next?

• 5

• 7

• 9

• 11