M2 Mid-term Review 24/25

Front

Identify the 'a' value in the quadratic equation: y = 16x^2 - 8x - 24

Back

The 'a' value is 16.

Front

What is the Quadratic Formula used to solve equations of the form ax^2 + bx + c = 0?

Back

Front

Factor the quadratic expression: 3x^2 - 6x - 24

Back

The factored form is 3(x + 2)(x - 4).

Front

What is the standard form of a quadratic function?

Back

The standard form is f(x) = ax^2 + bx + c.

Front

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

Back

Front

What does the discriminant of a quadratic equation tell us?

Back

Front

What is the vertex form of a quadratic function?

Back

The vertex form is f(x) = a(x - h)^2 + k, where (h, k) is the vertex.

Front

How do you find the x-intercepts of a quadratic function?

Back

Set f(x) = 0 and solve for x using factoring, completing the square, or the quadratic formula.

Front

What is the axis of symmetry for a parabola given by the equation y = ax^2 + bx + c?

Back

The axis of symmetry is given by the line x = -rac{b}{2a}.

Front

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

Back

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