Unit 2 Lessons 1-3 Review Practice

Front

What does it mean to reflect a graph over the x-axis?

Back

To reflect a graph over the x-axis means to flip it vertically, changing the sign of the y-coordinates of all points on the graph.

Front

What is the vertex form of a quadratic function?

Back

The vertex form of a quadratic function is f(x) = a(x-h)² + k, where (h, k) is the vertex of the parabola.

Front

How do you determine if a parabola opens upward or downward?

Back

A parabola opens upward if the coefficient 'a' in the equation f(x) = ax² + bx + c is positive, and downward if 'a' is negative.

Front

What is the process of factoring a quadratic expression?

Back

Factoring a quadratic expression involves rewriting it as a product of two binomials, typically in the form (x - p)(x - q), where p and q are the roots.

Front

What transformation occurs when you add a constant to the function f(x)?

Back

Adding a constant to f(x) results in a vertical shift of the graph; if the constant is positive, the graph shifts up, and if negative, it shifts down.

Front

What does it mean to translate a graph?

Back

Translating a graph means shifting it horizontally or vertically without changing its shape or orientation.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex represents the highest or lowest point of the parabola, depending on whether it opens upward or downward.

Front

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

Back

To find the vertex of a quadratic function in standard form f(x) = ax² + bx + c, use the formula h = -b/(2a) and then calculate k by substituting h back into the function.

Front

What is the effect of a negative coefficient in front of a quadratic term?

Back

A negative coefficient in front of the quadratic term causes the parabola to open downward.

Front

What does it mean for a quadratic to be factored completely?

Back

A quadratic is factored completely when it is expressed as a product of irreducible factors, typically binomials.