Test 8

Front

What is the equation of the axis of symmetry of a parabola?

Back

The equation of the axis of symmetry of a parabola is given by x = h, where (h, k) is the vertex of the parabola.

Front

What is the vertex of a quadratic function?

Back

The vertex of a quadratic function is the point (h, k) where the parabola changes direction. It is the maximum or minimum point of the graph.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is a y-intercept?

Back

The y-intercept is the point where the graph of a function intersects the y-axis, represented as (0, b) where b is the value of the function when x=0.

Front

What is the slope in the equation y = mx + b?

Back

The slope (m) in the equation y = mx + b represents the rate of change of y with respect to x.

Front

How do you find the axis of symmetry for a quadratic function in standard form?

Back

For a quadratic function in standard form y = ax^2 + bx + c, the axis of symmetry can be found using the formula x = -b/(2a).

Front

What does it mean for a function to be quadratic?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c, where a ≠ 0.

Front

What is the significance of the vertex in a parabola?

Back

The vertex of a parabola indicates the maximum or minimum value of the quadratic function and is the point of symmetry.

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) based on the vertex and the direction of the parabola.

Front

What is the difference between x-intercept and y-intercept?

Back

The x-intercept is where the graph intersects the x-axis (y=0), while the y-intercept is where the graph intersects the y-axis (x=0).