M2 Mid-term Review 24/25

Front

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

Back

The 'b' value is -8.

Front

Factor the expression: 49x^2 - 100

Back

(7x - 10)(7x + 10)

Front

What is the standard form of a quadratic function?

Back

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

Front

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

Back

The 'a' value is 16.

Front

What is the vertex form of a quadratic function?

Back

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

Front

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

Back

The axis of symmetry is x = -b/(2a).

Front

What does it mean for a quadratic function to be in factored form?

Back

It means the function is expressed as y = a(x - r1)(x - r2), where r1 and r2 are the roots.

Front

How do you find the roots of a quadratic equation?

Back

You can use the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a).

Front

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

Back

The discriminant (b^2 - 4ac) determines the nature of the roots: if > 0, two real roots; if = 0, one real root; if < 0, no real roots.

Front

What is the general shape of a parabola when 'a' is positive?

Back

The parabola opens upwards.