Analyzing Real World Quadratic Graphs Flashcard

Front

What is a quadratic graph?

Back

A quadratic graph is a graph that represents a quadratic function, typically in the form of a parabola. It can open upwards or downwards depending on the coefficient of the x² term.

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 a quadratic graph?

Back

The maximum height can be found at the vertex of the parabola, which can be calculated using the formula x = -b/(2a) from the quadratic equation ax² + bx + c.

Front

What does the x-intercept of a quadratic graph represent?

Back

The x-intercepts of a quadratic graph represent the points where the graph crosses the x-axis, indicating the values of x for which the quadratic function equals zero.

Front

What does the y-intercept of a quadratic graph represent?

Back

The y-intercept of a quadratic graph is the point where the graph crosses the y-axis, representing the value of the function when x = 0.

Front

How can you determine the time it takes for a projectile to reach its maximum height from a quadratic graph?

Back

The time to reach maximum height can be found by locating the vertex of the parabola on the time (x) axis.

Front

What is the significance of the axis of symmetry in a quadratic graph?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves. It passes through the vertex and can be found using the formula x = -b/(2a).

Front

How do you calculate the total time of flight for a projectile from a quadratic graph?

Back

The total time of flight can be determined by finding the x-intercepts of the quadratic graph, which represent the times when the projectile is at ground level.

Front

What is the formula for a quadratic function?

Back

The standard form of a quadratic function is f(x) = ax² + bx + c, where a, b, and c are constants.

Front

What does the coefficient 'a' in a quadratic function indicate about the graph?

Back

The coefficient 'a' determines the direction of the parabola (upward if a > 0, downward if a < 0) and affects the width of the graph.