Applications of Quadratics

Front

What is the y-intercept of a quadratic function?

Back

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

Front

What is the shape of the graph of a quadratic function called?

Back

The graph of a quadratic function is called a parabola.

Front

What does the vertex of a parabola represent?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

If a quadratic function opens upwards, what can be said about its vertex?

Back

If it opens upwards, the vertex is the minimum point of the function.

Front

If a quadratic function opens downwards, what can be said about its vertex?

Back

If it opens downwards, the vertex is the maximum point of the function.

Front

What does the axis of symmetry in a parabola represent?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves.

Front

What does the 'a' value in the quadratic equation y = ax^2 + bx + c determine?

Back

The 'a' value determines the direction the parabola opens: if 'a' is positive, it opens upwards; if 'a' is negative, it opens downwards.

Front

What does the y-axis represent in the context of projectile motion?

Back

In projectile motion, the y-axis represents the height of the object from the ground.

Front

What is the significance of the x-intercepts in a quadratic function?

Back

The x-intercepts are the points where the graph intersects the x-axis, representing the values of x for which the function equals zero.

Front

How can you determine the maximum or minimum value of a quadratic function?

Back

The maximum or minimum value can be found at the vertex of the parabola.