Reading Quadratic Graphs

Front

What is a quadratic graph?

Back

A quadratic graph is a graph of a quadratic function, which is a polynomial function of degree 2, typically in the form of y = ax² + bx + c. It produces a U-shaped curve called a parabola.

Front

What does the vertex of a parabola represent?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards. It represents the maximum or minimum value of the quadratic function.

Front

How do you find the maximum height of a projectile from its graph?

Back

The maximum height of a projectile can be found at the vertex of the parabola on the graph of height versus time.

Front

What does the x-axis represent in a height vs. time graph?

Back

The x-axis represents time, indicating how long the projectile has been in the air.

Front

What does the y-axis represent in a height vs. time graph?

Back

The y-axis represents the height of the projectile above the ground at any given time.

Front

How can you determine how long a projectile is in the air from its graph?

Back

You can determine how long a projectile is in the air by finding the x-intercepts of the graph, which indicate when the height is zero.

Front

What is the initial height of a projectile in a height vs. time graph?

Back

The initial height is the value of the y-coordinate when time (x) is zero, representing the height of the projectile at launch.

Front

How do you find the time it takes to reach maximum height from a graph?

Back

The time it takes to reach maximum height is found at the x-coordinate of the vertex of the parabola.

Front

What is the significance of the y-intercept in a height vs. time graph?

Back

The y-intercept represents the initial height of the projectile when time is zero.

Front

What does it mean if a projectile's graph is symmetrical?

Back

A symmetrical graph indicates that the time taken to rise to maximum height is equal to the time taken to fall back down.