Unit 8: Graphing Quadratic Functions Review

Front

What is the general form of a quadratic function?

Back

The general form of a quadratic function is f(x) = ax² + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What does the vertex of a quadratic function represent?

Back

The vertex of a quadratic function represents the maximum or minimum point of the graph, depending on the direction of the parabola.

Front

How do you find the vertex of a quadratic function in standard form?

Back

The vertex (h, k) can be found using the formula h = -b/(2a) and k = f(h), where f(x) is the quadratic function.

Front

What is the effect of a negative 'a' value in a quadratic function?

Back

A negative 'a' value indicates that the parabola opens downward.

Front

What does it mean to 'shift' a graph?

Back

Shifting a graph means moving it horizontally or vertically without changing its shape.

Front

What is the significance of the 'h' and 'k' in vertex form of a quadratic function?

Back

In vertex form, y = a(x-h)² + k, 'h' represents the x-coordinate of the vertex, and 'k' represents the y-coordinate of the vertex.

Front

How does the value of 'a' affect the width of a parabola?

Back

The value of 'a' affects the width of the parabola; if |a| > 1, the parabola is narrower, and if 0 < |a| < 1, it is wider.

Front

What is the formula for the height of an object in projectile motion?

Back

The height h(t) of an object in projectile motion can be modeled by the equation h(t) = -16t² + vt + h₀, where v is the initial velocity and h₀ is the initial height.

Front

What does it mean for a graph to be 'reflected' over the x-axis?

Back

A graph is reflected over the x-axis when all y-values are multiplied by -1, resulting in an upside-down version of the original graph.

Front

How do you determine the maximum height of a projectile?

Back

The maximum height of a projectile can be found by determining the vertex of the quadratic function that models its height.