Unit 6 Graphing Quadratics 2023-2024 Algebra*

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola, depending on whether it opens upwards or downwards.

Front

What does the axis of symmetry represent in a quadratic graph?

Back

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

Front

How do you determine if a point on a quadratic graph is a maximum or minimum?

Back

If the parabola opens upwards, the vertex is a minimum. If it opens downwards, the vertex is a maximum.

Front

What is the standard form of a quadratic equation?

Back

The standard form is y = ax² + bx + c, where a, b, and c are constants.

Front

What does the 'a' value in a quadratic equation indicate?

Back

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

Front

What is the significance of the 'b' value in a quadratic equation?

Back

The 'b' value affects the position of the vertex along the x-axis and the axis of symmetry.

Front

What does the 'c' value represent in a quadratic equation?

Back

The 'c' value represents the y-intercept of the quadratic function.

Front

How can you find the maximum height of a projectile from a quadratic graph?

Back

The maximum height corresponds to the vertex of the parabola.

Front

What is the meaning of the roots or solutions of a quadratic equation?

Back

The roots are the x-values where the graph intersects the x-axis, indicating the values of x for which y = 0.

Front

How do you find the time a projectile is in the air using a quadratic graph?

Back

The time in the air is determined by the x-values at which the graph intersects the x-axis.