Semester 1 Exam Review (Part 1)

Front

Describe the transformation: f(x) = - ¾ |x|

Back

Reflection, compress by factor of 3/4.

Front

What is the vertex of the function y=2|x-3|+1?

Back

(3,1)

Front

What is the domain of the function y = -2|x - 3| + 5?

Back

[-2, ∞)

Front

What does the negative sign in front of an absolute value function indicate?

Back

It indicates a reflection over the x-axis.

Front

What does a compression by a factor of 3/4 mean for the graph of a function?

Back

The graph is squeezed towards the x-axis by a factor of 3/4.

Front

What is the effect of shifting a graph up by 4 units?

Back

Every point on the graph moves up 4 units.

Front

How do you identify the vertex of an absolute value function in the form y = a|x - h| + k?

Back

The vertex is at the point (h, k).

Front

What is the effect of a positive 'a' value in the absolute value function y = a|x - h| + k?

Back

The graph opens upwards.

Front

What is the effect of a negative 'a' value in the absolute value function y = a|x - h| + k?

Back

The graph opens downwards.

Front

What does the term 'domain' refer to in a function?

Back

The set of all possible input values (x-values) for the function.