Quadratics from factored form to standard form

Front

What is the factored form of a quadratic equation?

Back

The factored form of a quadratic equation is expressed as (x - p)(x - q), where p and q are the roots of the equation.

Front

How do you convert from factored form to standard form?

Back

To convert from factored form (x - p)(x - q) to standard form, expand the expression using the distributive property: x^2 - (p + q)x + pq.

Front

What is the standard form of the quadratic equation?

Back

Front

What is the significance of the coefficients a, b, and c in a quadratic equation?

Back

The coefficient a determines the direction and width of the parabola, b affects the position of the vertex, and c represents the y-intercept.

Front

What is the vertex of a parabola in standard form?

Back

Front

How do you find the roots of a quadratic equation in standard form?

Back

Front

What does the discriminant of a quadratic equation tell us?

Back

Front

Convert the factored form (x - 3)(x + 3) to standard form.

Back

Front

Convert the factored form (6a + 1)(6a - 1) to standard form.

Back

Front

Convert the factored form (x - 2)(x + 3) to standard form.

Back