12/3 Using Factored Form and Standard Form of a Quadratic

Front

What is the standard form of a quadratic equation?

Back

Front

Convert the factored form (x - 3)(x + 5) to standard form.

Back

Front

What are the zeros of the quadratic equation (x + 4)(x + 7) = 0?

Back

The zeros are x = -4 and x = -7.

Front

What does it mean to 'find the zeros' of a quadratic?

Back

To find the zeros means to factor the quadratic, set each factor equal to zero, and solve for x-intercepts.

Front

What are the values of x when (2x + 5)(x - 6) = 0?

Back

The values are x = -5/2 and x = 6.

Front

What is the factored form of the quadratic equation x^2 + 5x + 6?

Back

The factored form is (x + 2)(x + 3).

Front

How do you convert a quadratic from standard form to factored form?

Back

To convert, you can factor the quadratic expression or use the quadratic formula to find the roots.

Front

What is the vertex form of a quadratic equation?

Back

Front

What is the significance of the coefficient 'a' in a quadratic equation?

Back

The coefficient 'a' determines the direction of the parabola (upward if a > 0, downward if a < 0) and its width.

Front

What are the x-intercepts of a quadratic function?

Back

The x-intercepts are the points where the graph of the quadratic crosses the x-axis, found by setting the quadratic equal to zero.