8-2 Interpreting Quadratic Functions

The graph below shows h, the height i meters of a model rocket, versus t, the time in seconds after the rocket is launched. From the graph, what conclusion con be made about the flight of the rocket?

• The rocket reaches its maximum height after 2.5 seconds

• At 0 seconds the rocket was 2 meters off the ground

• The height of the rocket was 0 meters when it was launched

• The rocket was in flight for 5 seconds

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The graph shows the height of a baseball from the time it is thrown from the top of a building to the time it hits the ground. How much time elapses while the baseball is 80 meters or more above the ground

• 1 sec

• 9 sec

• 7 sec

• 6 sec

The graph represents the height of a rocket that is launched from the top of a building. Which statement best describes the path of the rocket?

• The rocket reached the ground between 2.25 seconds and 2.5 seconds.

• The rocket was below 34 feet between 0.25 seconds and 1 second

• The rocket reached its maximum between 1 second and 1.25 seconds.

• The rocket descended 8 feet between 1.5 seconds and 1.75 seconds.

State the vertex of the graph.

• $\left(-1\frac{2}{3},\ -2\frac{2}{3}\right)$

• $\left(-1\frac{1}{3},\ -2\ \frac{2}{3}\right)$

• $\left(-2\ \frac{1}{3},\ -3\ \frac{2}{3}\right)$

• $\left(-2\ \frac{2}{3},\ -1\ \frac{1}{3}\right)$

Which statement best describes the graph below?

• The ball was dropped from a height of 18 feet and then reached a maximum height of 20 feet before reaching the ground.

• The ball was thrown from the ground and then reached a height of 18 feet before landing again in just under 2 seconds.

• The ball was dropped from a height of 18 feet and then descended for just under 2 seconds before it hit the ground.

• The ball was thrown from a height of 2 feet and then descended for 18 seconds before hitting the ground.

The graph shows the height of a ball versus time for one bounce. For how many seconds was the ball at a height of 7 feet or more above the ground?

• 0.25 seconds

• 1 second

• 1.5 seconds

• 1.75 seconds

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The table represents some points on a graph of quadratic function g. Which statement about the graph of g is true?

• The graph of g has a maximum value at $\left(-2,\ -9\right)$

• The graph of g has an axis of symmetry at $x=-5$

• The graph of g has an x-intercept between 0 and 2.

• The graph of g has an x-intercept at $\left(0,\ -5\right)$

The graphs of quadratic functions f and g have the same x-intercepts. Which of these statements are true about f and g?

• I only

• II only

• I and IV only

• II and III

Two points of quadratic function p are shown on the grid. What is the equation for the axis of symmetry for p?

• $x\ =\ 5$

• $x\ =\ 2.5$

• $y=5$

• $y\ =\ 2.5$

George is learning to play Disc Golf. The quadratic function  $y\ =\ -0.35x^2\ +\ 2x\ +\ 3$  models the height over time of one of his throws. What is the domain of this situation?

• All real numbers

•  $7\ \le x\le0$  

•  $0\le x\le7$  

•  $3\ \le x\le7$