5.1-5.2 Review

Front

What is the y-intercept of a parabola?

Back

The y-intercept is the point where the parabola crosses the y-axis, represented as (0, y).

Front

What must a player do during a throw-in in soccer?

Back

The player must throw the ball over head with two hands and keep both feet on the ground.

Front

How do you find the vertex of a parabola given in vertex form?

Back

For a parabola in the form f(x) = a(x - h)² + k, the vertex is the point (h, k).

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 equation x = h for the vertex form.

Front

How do you find the equation of the line of symmetry for a quadratic function?

Back

For a quadratic function in the form y = ax² + bx + c, the line of symmetry is given by x = -b/(2a).

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: if a > 0, it opens upwards; if a < 0, it opens downwards.

Front

What is the significance of the vertex in a parabola?

Back

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

Front

How do you determine if a quadratic function has a maximum or minimum value?

Back

If 'a' is positive, the function has a minimum value at the vertex; if 'a' is negative, it has a maximum value.

Front

What is the formula for finding the roots of a quadratic equation?

Back

The roots can be found using the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a).