University:
Felician University
Course:
MATH-231 | Geometry I
Academic year:

2024
Views:

97

Pages:

4
Author:

GalacticGuru

1. What are the coordinates of the vertex of the graph? 1s it а maximum or minimum? 2. Graph the function and identify the domain and range. у= -1.Sx 2 (3. Graph the function and identify the domain and range. у= Sx 2 4. Order the group of quadratics functions from widest to narrowest graph: у= -5х 2 , у= 2х 2 , у= -4х 2 5. Order the group of quadratics functions from widest to narrowest graph: у = х 2 ' у = Зх 2 ' у = х 2 6. What is the difference between the graph of у= 2х 2 7. What is the difference between the graph of у = transformation) 4 and the graph of у= 2х 2 ? (State the transformation) -¼ (х - 4) 2 + 3 from the graph of у = х 2 ? 8. Explain how you сап determine if the рагаоа has been shifted up ог down Ьу examining the equation. 9. Find the equation of the axis of sy metry, the x-intercept, the y-intercept, and the coordinates of the vertex of the graph of each function: а. у= Зх 2 + 1 10. Graph each function. Label the axis of symmetry and the vertex. а. f(x) = х 2 + бх - 2 Ь. f(x) е:, -111" - 2-. = 4х 2 - 8х + 1 vC-3, -нJ )(=--3 11. Jared is casting his fishing line with а lead sinker attached over the edges of а pier. The pier is 15 feet above the water. The function h = -16t 2 + 15 gives the sinker's height h above the water (in feet) after t seconds. Graph the function. How many seconds .does it take for the sinker to hit the water? 12 .. А roofer is going to drop his hammer to the ground from the roof after making sure the area is clear. The roof is 25 feet high. The function h = -16t 2 + 25 gives the hammer's height h above the ground (in feet) after t seconds. Graph the function. How many seconds does it take for the hammer to hit the ground? 13. А baseball player hit а ball with an upward velocity of 46 ft/s. lts height h in feet after t seconds is given Ьу the function h = -16t 2 + 46t + 6. What is the maximum height the ball reaches? How long will it take the baseball to reach the maximum height? How lng does it take for the ball to hit the ground? 14. А golf ball is chipped into the air from а small hill with an upward velocity of 50 ft/s. lts height h in feet after t seconds is given Ьу the function h = -16t 2 + SOt + 10. What is the maximum height the ball reaches? How long will it take the ball to reach the maximum height? How long does it take for the ball to hit the ground?