Unit 4 Part B

Front

What are the x-intercepts, roots, and zeros of a quadratic function?

Back

The x-intercepts, roots, and zeros of a quadratic function are the values of x where the function equals zero. They represent the points where the graph of the function intersects the x-axis.

Front

What is the standard form of a quadratic expression?

Back

The standard form of a quadratic expression is written as ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What is the factored form of a quadratic expression?

Back

The factored form of a quadratic expression is written as a(x - p)(x - q), where p and q are the roots of the quadratic equation.

Front

What is the vertex form of a quadratic expression?

Back

The vertex form of a quadratic expression is written as a(x - h)^2 + k, where (h, k) is the vertex of the parabola.

Front

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

Back

The maximum or minimum value of a quadratic function can be determined from the vertex form of the function. If a > 0, the function has a minimum value at the vertex; if a < 0, it has a maximum value.

Front

What does the 'a' value in the quadratic function y = a(x - p)(x - q) represent?

Back

The 'a' value in the quadratic function affects the width and direction of the parabola. If a > 0, the parabola opens upwards; if a < 0, it opens downwards.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex of a quadratic function is the highest or lowest point on the graph, depending on whether the parabola opens upwards or downwards.

Front

How can you convert a quadratic expression from standard form to vertex form?

Back

To convert from standard form to vertex form, you can complete the square.

Front

What is the relationship between the roots of a quadratic equation and its graph?

Back

The roots of a quadratic equation correspond to the x-intercepts of its graph, indicating where the graph crosses the x-axis.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, and it passes through the vertex.