Graphing Quadratics

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c

Front

What is the axis of symmetry in a parabola?

Back

The axis of symmetry is the vertical line that divides the parabola into two mirror-image halves.

Front

How do you find the axis of symmetry for a quadratic equation?

Back

The formula for finding the axis of symmetry is x = -b/(2a).

Front

If a parabola opens upwards, what can you say about the value of 'a'?

Back

If 'a' is positive, the parabola opens upwards.

Front

If a parabola opens downwards, what can you say about the value of 'a'?

Back

If 'a' is negative, the parabola opens downwards.

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

How can you determine the vertex of a parabola from its standard form?

Back

The vertex can be found using the formula (h, k) where h = -b/(2a) and k is the value of the quadratic function at h.

Front

What does the 'c' represent in the standard form of a quadratic equation?

Back

The 'c' represents the y-intercept of the parabola.

Front

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

Back

The discriminant (b² - 4ac) determines the number and type of roots of the quadratic equation.

Front

What does it mean if the discriminant is positive?

Back

If the discriminant is positive, the quadratic equation has two distinct real roots.