Understanding Quadratic Functions and Their Graphs

What is the formula used to find the x-coordinate of the vertex in a quadratic function?

• b / 2a

• -b / 2a

• b / a

• -b / a

What is the y-coordinate of the vertex for the function -49t^2 + 49t when x is 5?

• 0

• -122.5

• 122.5

• 245

What does the axis of symmetry do in the context of a quadratic graph?

• It is the line where the graph intersects the y-axis.

• It is the line where the graph intersects the x-axis.

• It determines the maximum value of the function.

• It divides the graph into two equal parts.

When x is 0 and x is 10, what is the y-coordinate for the function -49t^2 + 49t?

• 0

• -49

• 122.5

• 49

Which x-values share the same y-coordinate when x is 1 and x is 9?

• 78.4

• 0

• 122.5

• 44.1

What is the y-coordinate when x is 2 for the function -49t^2 + 49t?

• 122.5

• 78.4

• 0

• 44.1

Why is it unnecessary to calculate every point for sketching a quadratic graph?

• Because symmetry allows for fewer calculations.

• Because the graph is linear.

• Because the graph is a circle.

• Because the graph is a straight line.

In the context of the problem, what does the vertex represent?

• The time it takes for the rocket to land.

• The highest point the rocket reaches.

• The initial launch point of the rocket.

• The distance the rocket travels.

How long does it take for the rocket to reach its highest point?

• 10 seconds

• 5 seconds

• 2 seconds

• 8 seconds

What is the height of the rocket at its highest point?

• 44.1 meters

• 78.4 meters

• 0 meters

• 122.5 meters