7.6 Writing Equations of Quadratics Given Roots

Front

What is the standard form of a quadratic equation?

Back

Front

How do you find the roots of a quadratic equation?

Back

Front

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

Back

A quadratic has repeated roots when its discriminant (b^2 - 4ac) is equal to zero, indicating that both roots are the same.

Front

What is the vertex form of a quadratic equation?

Back

Front

How can you convert from standard form to vertex form?

Back

Front

What is the significance of the roots of a quadratic equation?

Back

The roots of a quadratic equation represent the x-values where the graph intersects the x-axis.

Front

How do you determine the direction of a parabola?

Back

The direction of a parabola is determined by the coefficient 'a' in the standard form: if 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

What is the axis of symmetry in a quadratic function?

Back

Front

How do you find the y-intercept of a quadratic function?

Back

Front

What is the relationship between the roots and the coefficients of a quadratic equation?

Back