Chapter 2A Review

Front

What is the vertex of the quadratic function y = -4(x + 7)^2 - 8?

Back

The vertex is (-7, -8).

Front

What is the axis of symmetry for a parabola with a vertex at (-3, 2)?

Back

The axis of symmetry is x = -3.

Front

Which coefficient in the quadratic equation determines if the parabola opens upwards or downwards?

Back

The coefficient 'a' determines the direction of the parabola.

Front

What does the zero product property state?

Back

If the product of two factors is zero, then at least one of the factors must be zero.

Front

How do you find the zeros of a quadratic equation?

Back

Set the quadratic equation to zero and solve for x.

Front

What is the standard form of a quadratic function?

Back

The standard form is y = ax^2 + bx + c.

Front

What does the vertex of a parabola represent?

Back

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

Front

How can you determine the direction a parabola opens from its equation?

Back

If 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

What is the formula for the axis of symmetry of a parabola given in standard form?

Back

The axis of symmetry is given by x = -b/(2a).

Front

What are the x-intercepts of a quadratic function?

Back

The x-intercepts are the points where the graph intersects the x-axis, found by solving the equation y = 0.