Interpreting Quadratics Warmup

Does this graph have maximum or minimum value?

• maximum

• minimum

• neither

• both

Answer explanation

The graph has a minimum value because it reaches a lowest point, indicating that the function does not go below this value. Therefore, the correct answer is 'minimum'.

Tags

CCSS.HSF-IF.C.7A

What are the coordinates of the y-intercept?

• (-3, 0)

• (0, -3)

• (2, 1)

• y=-3

Answer explanation

The y-intercept occurs where the x-coordinate is 0. In the answer choices, (0, -3) indicates that when x is 0, y is -3, making it the correct y-intercept. The other options do not represent a y-intercept.

Tags

CCSS.HSF-IF.C.7A

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 until the baseball is 80 meters above the ground.

• 1 sec

• 9 sec

• 7 sec

• 6 sec

Answer explanation

The graph indicates that the baseball reaches 80 meters above the ground at 1 second after being thrown. This is the point where the height is exactly 80 meters, confirming that the correct answer is 1 sec.

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

Answer explanation

The graph indicates that at 0 seconds, the height of the rocket is 2 meters, confirming that it was launched from 2 meters above the ground. This supports the conclusion that at 0 seconds, the rocket was indeed 2 meters off the ground.

Select the graph that correctly represents a rocket starting at 0 seconds and landing at 10 seconds.

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7A

A kid launches a rock off of a cliff. The height of the rock after t seconds can be modeled by the graph shown. What is the height of the cliff?

• 1.094 ft

• 174.141 ft

• 155 ft

• 4.393 ft

• None of the above

Answer explanation

The height of the cliff corresponds to the maximum height reached by the rock before it starts to fall. From the graph, this maximum height is 155 ft, making it the correct answer.

Mark the roots of the parabola.

Tags

CCSS.HSF-IF.C.7A

Use the picture to find the vertex and axis of symmetry.

• Vertex: (8, 3); axis of symmetry: y=3

• Vertex: (8, 3); axis of symmetry: x=3

• Vertex: (3, 8); axis of symmetry: y=3

• Vertex: (3, 8); axis of symmetry: x=3

Answer explanation

The vertex is at (8, 3), indicating the highest point of the parabola. The axis of symmetry is a vertical line through the vertex, which is x=3, not y=3. Thus, the correct choice is Vertex: (8, 3); axis of symmetry: x=3.

Tags

CCSS.HSF-IF.C.7A