Algebra 2 Sem 1 C1 CA 2 Review_v4

Front

What is the vertex form of a quadratic equation?

Back

The vertex form of a quadratic equation is given by: y = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Front

How do you convert a standard quadratic equation to vertex form?

Back

To convert from standard form y = ax² + bx + c to vertex form, complete the square.

Front

What are the roots of a quadratic equation?

Back

The roots of a quadratic equation are the values of x that make the equation equal to zero.

Front

What is the quadratic formula?

Back

The quadratic formula is used to find the roots of a quadratic equation: x = (-b ± √(b² - 4ac)) / (2a).

Front

What does the discriminant of a quadratic equation tell us?

Back

The discriminant (b² - 4ac) indicates the nature of the roots: if > 0, two real roots; if = 0, one real root; if < 0, no real roots.

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 x = -b/(2a) for the equation y = ax² + bx + c.

Front

How do you find the vertex of a parabola from its equation?

Back

For the equation y = ax² + bx + c, the vertex can be found using the formula (h, k) where h = -b/(2a) and k = f(h).

Front

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

Back

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

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax² + bx + c, where a, b, and c are constants.

Front

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

Back

If the leading coefficient (a) is positive, the function has a minimum value; if negative, it has a maximum value.