day 1 review test 3 Quadratics

Front

What is the equation for the axis of symmetry for a quadratic function?

Back

The axis of symmetry for a quadratic function in the form y = ax^2 + bx + c is given by the equation x = -b/(2a).

Front

What is the range of a quadratic function that opens upwards?

Back

The range of a quadratic function that opens upwards is y ≥ k, where k is the minimum value of the function.

Front

What is the y-intercept of a quadratic function?

Back

The y-intercept of a quadratic function is the value of y when x = 0, which can be found by evaluating the function at x = 0.

Front

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

Back

The maximum or minimum value of a quadratic function occurs at the vertex, which can be found using the formula x = -b/(2a).

Front

What does the term 'vertex' refer to in a quadratic function?

Back

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

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is y = ax^2 + bx + c, where a, b, and c are constants.

Front

What is the significance of the coefficient 'a' in a quadratic function?

Back

The coefficient 'a' determines the direction of the parabola: if a > 0, it opens upwards; if a < 0, it opens downwards.

Front

How can you find the roots of a quadratic equation?

Back

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

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is the part of the quadratic formula under the square root: b² - 4ac. It determines the nature of the roots.

Front

What does it mean if the discriminant is positive?

Back

If the discriminant is positive, the quadratic equation has two distinct real roots.