CCA: Ch. 9 (Quadratics)

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c

Front

What does it mean for a quadratic equation to have roots?

Back

Roots are the values of x where the graph intersects the x-axis.

Front

How do you solve a quadratic equation by factoring?

Back

Set the equation to zero, factor it, and then set each factor to zero.

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola.

Front

What is the axis of symmetry in a quadratic function?

Back

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

Front

What does it mean if a quadratic graph opens upwards?

Back

The coefficient 'a' in y = ax² + bx + c is positive.

Front

What does it mean if a quadratic graph opens downwards?

Back

The coefficient 'a' in y = ax² + bx + c is negative.

Front

What is the maximum value of a quadratic function?

Back

The highest point on the graph, occurs at the vertex if the parabola opens downwards.

Front

What is the minimum value of a quadratic function?

Back

The lowest point on the graph, occurs at the vertex if the parabola opens upwards.

Front

How can you determine the number of roots a quadratic equation has?

Back

By calculating the discriminant (b² - 4ac). If it's positive, there are 2 roots; if zero, 1 root; if negative, no real roots.