Chapter 3 Test

Front

What are the x-intercepts of a quadratic function?

Back

The x-intercepts are the points where the graph of the quadratic function crosses the x-axis, found by setting y=0 and solving for x.

Front

If the value of 'a' in a quadratic equation is negative, what direction does the parabola open?

Back

The parabola opens downwards.

Front

What is the axis of symmetry in a parabola?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the formula x = -b/(2a) for a quadratic in the form y = ax^2 + bx + c.

Front

Back

The axis of symmetry is x = 2.

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

Back

The vertex can be found using the formula x = -b/(2a). For this function, the vertex is (5, -3).

Front

What is the standard form of a quadratic equation?

Back

Front

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

Back

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

Front

What is the significance of the discriminant in a quadratic equation?

Back

Front

How can you find the y-intercept of a quadratic function?

Back

The y-intercept can be found by evaluating the function at x = 0.