5. A square patio was enlarged by adding 3 feet to the length and width of the
original square patio. If the area of the enlarged patio is 49 ft2, what was the AREA
of the original patio?

7. Which statement is true about the end behavior of the quadratic graph above? (NC.M1.F-LE.3)
a. ?? ?→ −∞,? → −∞ ??? ?? ?→ ∞,? → −∞
?. ?? ?→∞,? → −∞ ??? ?? ?→ ∞,? → ∞
c. ?? ?→ −∞,? → ∞ ??? ?? ?→ ∞,? → ∞
?. ?? ?→∞,? → ∞ ??? ?? ?→ ∞,? → −∞

8. You are doing an experiment tossing marbles off the top of a building. The formula
you are using is ℎ(?)=−?2 +5?+200, where ℎ is the height of your marble after ?
seconds. After how many seconds will your marble be at about 24 feet?


9. A pebble blown off a cliff. The equation that models the pebble’s flight through air is
ℎ(?)=−16?2 +66?+250. What is the height of the cliff?

10. An object is blasted upward at an initial velocity of 240 ft/s. The height, h(t), of the
object is a function of time, t (in seconds), and is given by the formula
ℎ(?)=−16?2 +240?. How long will it take the object the hit the ground after takeoff?

11. State the axis of symmetry for ? = −2?2 −16?−27.

12. Find the minimum point for ?(?)= 3?2 +24?+55

13. A ball is thrown upward. Its height, h in feet, above the ground after t seconds is ℎ=
−16?²+32?. Find the maximum height of the ball

14. An object is dropped from a tall building. The distance traveled is given by ? =16?²,
where d represents the distance in feet and t represents time in seconds. About how
long does it take the object to fall 784 feet?

15. Solve. a² + 20 = 4