Final Exam Review (First Half)

Front

What is the y-intercept of a function?

Back

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

Front

How do you evaluate a function f(x) at a specific value?

Back

To evaluate f(x) at a specific value, substitute the value into the function and simplify.

Front

What does the vertex of a parabola represent?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on its orientation.

Front

How do you factor a quadratic expression?

Back

To factor a quadratic expression, find two numbers that multiply to the constant term and add to the coefficient of the linear term.

Front

What is the significance of the ordered pair (x, y) in a graph?

Back

The ordered pair (x, y) represents a specific point on the graph, where x is the horizontal coordinate and y is the vertical coordinate.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants.

Front

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

Back

To find the x-intercepts, set the function equal to zero and solve for x.

Front

What does the term 'axis of symmetry' refer to in a parabola?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, passing through the vertex.

Front

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

Back

The maximum or minimum value occurs at the vertex of the parabola, depending on whether it opens upwards or downwards.

Front

How do you determine the direction of a parabola?

Back

The direction of a parabola is determined by the sign of the leading coefficient (a) in the quadratic equation: if a > 0, it opens upwards; if a < 0, it opens downwards.