Unit 4B Quadratic Retest

Front

What is the factored form of the quadratic equation (x - 3)(x + 6) = 0?

Back

The solutions are x = 3 and x = -6.

Front

How do you solve the equation x^2 + 3x - 18 = 0 by factoring?

Back

The solutions are x = 3 and x = -6.

Front

What is the first step in solving the equation x^2 + 6x - 13 = 3?

Back

Make it equal 0 by subtracting 3 on each side.

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / 2a.

Front

How do you apply the quadratic formula to the equation 2x^2 - 9x - 35 = 0?

Back

The solutions are x = -5/2 and x = 7.

Front

Identify the values of a, b, and c in the equation 4x^2 - 8x = 3.

Back

a = 4, b = -8, c = -3.

Front

What does it mean for a quadratic equation to be in standard form?

Back

A quadratic equation is in standard form if it is written as ax^2 + bx + c = 0.

Front

What is the vertex form of a quadratic equation?

Back

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

Front

How can you determine the direction of a parabola from its equation?

Back

If a > 0, the parabola opens upwards; if a < 0, it opens downwards.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is b² - 4ac and determines the nature of the roots.