Key Features of a Quadratic Real World

Hey there! Tyjinah was looking at a chart in their math class and noticed some green dots. She's curious and asks Tai and Caylen, 'What are these green dots called?'

• axis of symmetry

• vertex

• parabola

• roots or x-intercepts

Answer explanation

The green dots are called roots or x-intercepts because they represent the points where the parabola intersects the x-axis.

Tags

CCSS.HSF-IF.C.7A

Hey there! Arelli, Tyjinah, and X'Zavier are on a math adventure and stumbled upon a mysterious parabola. They're scratching their heads, wondering: Does this parabola have a maximum or minimum? Can you help them out?

• Maximum

• Minimum

Answer explanation

The parabola has a minimum because it opens upwards, indicating the vertex is the lowest point on the graph.

Tags

CCSS.HSF-IF.C.7A

Imagine Lamar kicked a ball while playing soccer with Caylen and Arelli. The graph below captures the ball's thrilling flight. Which of the following statements accurately describes the graph's adventurous tale? 

• The ball, with a mighty kick from Lamar, launched from 500 centimeters off the ground, soaring through the air for 4 seconds before Caylen caught it.

• Starting from the ground, the ball was kicked so hard it stayed airborne for 4 seconds, making Arelli gasp in amazement. 

• Reaching a breathtaking height of 2000 centimeters, the ball's flight lasted a total of 2 seconds, leaving spectators in awe. 

• With a heroic leap, the ball reached a maximum height of 1000 centimeters and was in the air for 4 seconds, cheered on by Lamar and friends. 

Answer explanation

The correct statement is that the ball was kicked from the ground and it was in the air for 4 seconds.

Hey there! X'Zavier, Nataly, and Tai were exploring the magical world of mathematics when they stumbled upon a mysterious table. They need your help to write the correct equation for this enchanted table. Can you help them out?

Answer explanation

The correct equation is y = 1/3x - 2 because the table shows a slope of 1/3 and a y-intercept of -2.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What was the maximum height of the ball? Choose the key feature and the answer choice.

• y-intercept, 3 feet

• y-intercept, 0 feet

• x-value of the vertex, 4 feet

• y-value of the vertex, 5 feet

Tags

CCSS.HSF-IF.C.7A

What is the significance of the ordered pair (0, -2) to the graph?

• It is the vertex

• It is an x-intercept

• It is the y-intercept

• It is the axis of symmetry

Tags

CCSS.HSF-IF.C.7A

Is this point a max or min?

• max

• min

What was the height of the ball at 1 second?

• 3 feet

• 4 feet

• 5 feet

What was the height of the water at 3 seconds?

• 9 feet

• 10 feet

• 7 feet

• 5 feet

Approximately how long did it take the water from the fountain to hit the pool below?

• about 1.85 second

• about 2.85 seconds

• about 3.85 seconds

• about 4.85 seconds