4.4 Investigating Quadratic Forms Combined Quick Check

Front

What is the general form of a quadratic equation?

Back

Front

What does the coefficient 'a' in a quadratic equation determine?

Back

The coefficient 'a' determines the direction of the parabola: if 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on the direction it opens.

Front

How do you find the vertex of a parabola in standard form?

Back

Front

What is the vertex form of a quadratic equation?

Back

Front

How do you convert from standard form to vertex form?

Back

To convert from standard form to vertex form, complete the square on the quadratic expression.

Front

What is the axis of symmetry in a parabola?

Back

Front

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

Back

Front

What is the maximum or minimum value of a quadratic function?

Back

The maximum or minimum value occurs at the vertex. If 'a' is negative, the vertex gives the maximum value; if 'a' is positive, it gives the minimum value.

Front

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

Back