Algebra 2 Quadratics Assessment Review

Front

What is the nature of the roots of a quadratic equation when the discriminant is zero?

Back

The roots are real and equal.

Tags

CCSS.HSA-REI.B.4B

Front

True or false: The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.

Back

True.

Front

What is the factored form of the quadratic function f(k) = k^2 - 2k - 24?

Back

f(k) = (k + 4)(k - 6).

Front

How do you factor the quadratic expression 9x^2 - 6x - 8?

Back

(3x + 2)(3x - 4).

Front

What are the zeros of the quadratic equation represented by the roots b = 4/5 and b = -3?

Back

The zeros are x = 4/5 and x = -3.

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 the discriminant of a quadratic equation tell us about the roots?

Back

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

Tags

CCSS.HSA-REI.B.4B

Front

How can you determine if a quadratic function opens upwards or downwards?

Back

If the leading coefficient (a) is positive, the parabola opens upwards; if negative, it opens downwards.

Tags

CCSS.HSF-IF.C.7A

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 of the parabola.

Front

What is the axis of symmetry for a quadratic function in standard form?

Back

The axis of symmetry is given by the formula x = -b/(2a).