Graphing Quadratics Retest Review (Unit 4 Part 1)

Front

What is the range of a quadratic function?

Back

The range of a quadratic function is the set of all possible output values (y-values) that the function can produce. For a parabola that opens upwards, the range starts from the vertex's y-coordinate to infinity.

Front

What is the domain of a quadratic function?

Back

The domain of a quadratic function is the set of all possible input values (x-values) that can be used in the function. For quadratic functions, the domain is usually all real numbers, represented as (-∞, ∞).

Front

How do you find the x-intercepts of a quadratic function?

Back

To find the x-intercepts of a quadratic function, set the function equal to zero and solve for x. The solutions are the points where the graph intersects the x-axis.

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, as x increases, the function's output (y-value) also increases. This means the graph of the function rises as you move from left to right.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if, as x increases, the function's output (y-value) decreases. This means the graph of the function falls as you move from left to right.

Front

What is the vertex of a quadratic function?

Back

The vertex of a quadratic function is the highest or lowest point on the graph, depending on whether the parabola opens upwards or downwards. It can be found using the formula x = -b/(2a) for the function in standard form ax^2 + bx + c.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

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 the direction of a parabola?

Back

The direction of a parabola is determined by the coefficient 'a' in the quadratic function. If 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry of a quadratic function is a vertical line that divides the parabola into two mirror-image halves. It can be found using the formula x = -b/(2a).