Intro to Quadratics + Vocabulary

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of degree 2, typically in the form y = ax² + bx + c, where a, b, and c are constants.

Front

What does the 'a' term represent in a quadratic equation?

Back

The 'a' term represents the coefficient of x² and determines the direction of the parabola (upward if a > 0, downward if a < 0).

Tags

CCSS.HSF-IF.C.7A

Front

What does the 'b' term represent in a quadratic equation?

Back

The 'b' term is the coefficient of x and affects the position of the vertex and the axis of symmetry.

Tags

CCSS.HSF-IF.C.7A

Front

What does the 'c' term represent in a quadratic equation?

Back

The 'c' term is the constant term and represents the y-intercept of the graph.

Tags

CCSS.HSF-IF.C.7A

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the formula x = -b/(2a).

Front

How do you find the vertex of a quadratic function?

Back

The vertex can be found using the formula x = -b/(2a) to find the x-coordinate, and then substituting this value back into the equation to find the y-coordinate.

Front

What is the difference between a maximum and minimum vertex?

Back

A maximum vertex is the highest point of the parabola (when a < 0), while a minimum vertex is the lowest point (when a > 0).

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax² + bx + c.

Front

What is the factored form of a quadratic equation?

Back

The factored form is expressed as y = a(x - r1)(x - r2), where r1 and r2 are the roots of the equation.

Front

What are the roots of a quadratic equation?

Back

The roots are the values of x that make the equation equal to zero, representing the x-intercepts of the graph.

Tags

CCSS.HSF-IF.C.7A