3/20 Quadratics Checkup: Factored Form and Zeros

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c

Front

What are the linear factors of a quadratic function with zeros -7 and 9?

Back

(x + 7)(x - 9)

Front

Where is the vertex of the parabola for the equation y = 2x² + 12x - 13?

Back

(-3, -31)

Front

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

Back

Factor then set each factor equal to zero and solve to find x-intercepts.

Front

What are the green dots on a graph of a quadratic called?

Back

Roots or x-intercepts.

Front

What is a quadratic function?

Back

A function that can be expressed in the form y = ax² + bx + c, where a ≠ 0.

Front

What is the axis of symmetry in a quadratic function?

Back

A vertical line that divides the parabola into two mirror-image halves, given by x = -b/(2a).

Front

What is the vertex of a parabola?

Back

The highest or lowest point on the graph of a quadratic function.

Front

How do you determine the direction of a parabola?

Back

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

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b² - 4ac) determines the nature of the roots: two real and distinct, one real and repeated, or no real roots.