Factoring with Quadratics and Graphing Quadratics

Front

Does the equation open up or down? Y = -3x² + 7x - 2

Back

The equation opens down because the coefficient of x² is negative.

Front

Factor: x² + 5x - 24

Back

(x - 8)(x + 3)

Front

Find the y-intercept of f(x) = 2x² - 2x + 1

Back

The y-intercept is 1.

Front

What is the green dashed line called in a quadratic graph?

Back

The green dashed line is called the axis of symmetry.

Front

Factor: n² - 13n + 40

Back

(n - 5)(n - 8)

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of degree 2, typically in the form ax² + bx + c = 0.

Front

What are the roots of a quadratic equation?

Back

The roots are the values of x that make the equation equal to zero.

Front

How do you find the vertex of a parabola?

Back

The vertex can be found using the formula x = -b/(2a) for the equation ax² + bx + c.

Front

What does the discriminant tell you about a quadratic equation?

Back

The discriminant (b² - 4ac) indicates the nature of the roots: if positive, two real roots; if zero, one real root; if negative, no real roots.

Front

What is the standard form of a quadratic function?

Back

The standard form is f(x) = ax² + bx + c.