SBAC Test-Quadratic Features

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. It can be found using the formula x = -b/(2a) for a quadratic equation in the form y = ax^2 + bx + c.

Front

How do you find the vertex of a parabola?

Back

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

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax^2 + bx + c, where a, b, and c are constants.

Front

What does the 'a' value in a quadratic equation indicate?

Back

The 'a' value 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 significance of the vertex in a parabola?

Back

The vertex represents the maximum or minimum point of the parabola, depending on the direction it opens.

Front

How can you determine if a parabola opens upwards or downwards?

Back

If the coefficient 'a' in the quadratic equation y = ax^2 + bx + c is positive, the parabola opens upwards. If 'a' is negative, it opens downwards.

Front

What is the formula to find the axis of symmetry for the quadratic equation y = ax^2 + bx + c?

Back

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

Front

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

Back

The maximum or minimum value of a quadratic function is called the vertex.

Front

How do you identify the vertex from the standard form of a quadratic equation?

Back

In the standard form y = a(x - h)^2 + k, the vertex is (h, k).

Front

What is the effect of changing the 'b' value in a quadratic equation?

Back

Changing the 'b' value affects the position of the vertex along the x-axis and the axis of symmetry.