HW. Semester Exam Review #2 (Topics 3-4)

Front

What is the vertex of an absolute value function?

Back

The vertex is the point where the graph changes direction, typically represented as (h, k) in the function f(x) = a|x - h| + k.

Front

Determine the vertex of the function f(x) = 2|x + 2| - 4.

Back

The vertex is (-2, -4).

Front

What are x-intercepts in a quadratic function?

Back

X-intercepts are the points where the graph of the function crosses the x-axis, found by setting y = 0.

Front

Find the x-intercepts of the function y = -(x - 6)(x - 2).

Back

The x-intercepts are x = 6 and x = 2.

Front

What are the zeros of a parabola?

Back

Zeros are the x-values where the parabola intersects the x-axis, also known as roots.

Front

Identify the zeros of the parabola represented by the equation y = x^2 - 6x + 5.

Back

The zeros are x = 1 and x = 5.

Front

What is the general form of a quadratic function?

Back

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

Front

How do you determine if a quadratic function has a maximum or minimum value?

Back

If a > 0, the function has a minimum value; if a < 0, it has a maximum value.

Front

Does the function y = -4x^2 have a maximum or minimum value?

Back

It has a maximum value.

Front

What is the standard form of an absolute value function?

Back

The standard form is f(x) = a|x - h| + k, where (h, k) is the vertex.