Alg2 Quadratic Graphs Review

Front

What is the formula to find the Axis of Symmetry of a quadratic function?

Back

The Axis of Symmetry can be found using the formula x = -b/(2a), where a and b are coefficients from the quadratic equation in the form ax^2 + bx + c.

Front

What is the average rate of change of a function f(x) from f(a) to f(b)?

Back

The average rate of change is calculated as (f(b) - f(a)) / (b - a).

Front

Given f(x) = -x^2 + 6x - 8, what is f(2) and f(3)?

Back

f(2) = 2 and f(3) = 1.

Front

How do you determine which function has a greater average rate of change over an interval?

Back

Calculate the average rate of change for each function over the interval and compare the results.

Front

What does it mean if a parabola has two zeros?

Back

It means the quadratic function intersects the x-axis at two points.

Front

How can you find the zeros of a quadratic function?

Back

You can find the zeros by factoring the quadratic equation, using the quadratic formula, or by graphing.

Front

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

Back

The vertex represents the maximum or minimum point of the parabola, depending on its orientation.

Front

What is the standard form of a quadratic function?

Back

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

Front

What is the effect of the coefficient 'a' on the graph of a quadratic function?

Back

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

Front

What is the difference between a function represented graphically and one represented in a table?

Back

A graphical representation shows the continuous nature of the function, while a table provides discrete values.