Factoring with Quadratics and Graphing Quadratics

Front

Factor: x^2 + 5x - 24

Back

(x + 8)(x - 3)

Front

What is another name for the x-intercepts of a quadratic?

Back

zeros

Front

For the quadratic y = -x^2 - 4x + 5, What is the y-intercept?

Back

(0, 5)

Front

The axis of symmetry line always passes through which point?

Back

vertex

Front

What is the vertex of y = 2x^2 + 4x + 5?

Back

(-1, 3)

Front

What is a quadratic function?

Back

A polynomial function of degree 2, typically in the form y = ax^2 + bx + c.

Front

What does the 'a' value in a quadratic function determine?

Back

The direction of the parabola (upward if a > 0, downward if a < 0).

Front

How do you find the x-intercepts of a quadratic equation?

Back

Set the quadratic equation to zero and solve for x.

Front

What is the formula for the vertex of a quadratic function?

Back

x = -b/(2a) for the x-coordinate, then substitute back to find y.

Front

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

Back

It determines the nature of the roots: positive (two real roots), zero (one real root), negative (no real roots).