EXIT SLIP: Zero-Product Property

Front

What is the Zero-Product Property?

Back

If the product of two factors is zero, then at least one of the factors must be zero.

Front

How do you apply the Zero-Product Property to solve (x + 2)(x - 3) = 0?

Back

Set each binomial factor equal to zero: x + 2 = 0 or x - 3 = 0.

Front

What is the standard form of a quadratic function?

Back

f(x) = ax² + bx + c.

Front

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

Back

To find the values of x that make the function equal to zero.

Front

How do you find the zeros of f(x) = x² - 4?

Back

Factor the equation: (x - 2)(x + 2) = 0, then set each factor to zero: x - 2 = 0 or x + 2 = 0.

Front

What are the x-intercepts of a quadratic function?

Back

The points where the graph intersects the x-axis, found by setting f(x) = 0.

Front

What is the vertex form of a quadratic function?

Back

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

Front

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

Back

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

Front

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

Back

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

Front

What is the quadratic formula?

Back

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