IM2 Final Review Fall 2022

Front

What does it mean when the coefficient 'a' in a parabola is negative?

Back

The parabola opens downwards.

Front

How do you find the measure of an angle in a triangle?

Back

Use trigonometric ratios or the properties of triangles to calculate the angle.

Front

What is the formula for the axis of symmetry in a quadratic equation?

Back

The axis of symmetry is given by the formula x = -b/(2a) for the quadratic equation ax^2 + bx + c = 0.

Front

How do you solve a quadratic equation in standard form?

Back

Use the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a).

Front

What is the factored form of a polynomial?

Back

The factored form expresses the polynomial as a product of its factors.

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point on the graph of the parabola.

Front

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

Back

The discriminant (b² - 4ac) determines the nature of the roots: two real and distinct, one real and repeated, or no real roots.

Front

How do you factor a polynomial like x^3 + 11x^2 + 10x?

Back

Factor out the greatest common factor first, then use techniques like grouping or synthetic division.

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax^2 + bx + c = 0, where a, b, and c are constants.

Front

What does it mean for a quadratic function to have no real solutions?

Back

It means the graph of the function does not intersect the x-axis.