Factoring Quadratics Graphically

Front

What are the zeros of the quadratic function f(x) = (x + 3)(x - 1)?

Back

The zeros are -3 and 1.

Front

How can you express a quadratic equation if its zeros are -2 and 3?

Back

The equation can be written as (x + 2)(x - 3) = y.

Front

What is the factored form of the quadratic equation represented by the graph that intersects the x-axis at 0 and -5?

Back

The factored form is y = x(x + 5).

Front

Given the zeros -4 and -6, what is the corresponding quadratic equation?

Back

The quadratic equation is y = x^2 + 10x + 24.

Front

What are the factors of the polynomial if the graph shows zeros at 6 and 18?

Back

The factors are (x - 6)(x - 18).

Front

What is the general form of a quadratic equation?

Back

The general form is y = ax^2 + bx + c.

Front

How do you find the zeros of a quadratic function in factored form?

Back

Set each factor equal to zero and solve for x.

Front

What does it mean for a quadratic function to be in factored form?

Back

It means the function is expressed as a product of its linear factors.

Front

What is the significance of the zeros of a quadratic function?

Back

The zeros represent the x-values where the graph intersects the x-axis.

Front

How can you determine the vertex of a quadratic function from its factored form?

Back

The vertex can be found by averaging the zeros and substituting back into the function.