Units 5-6 Midterm Review

Front

What is the equation of the graph that represents a reflection across the x-axis and a vertical shift down 2 units?

Back

f(x) = -|x - 2| - 7

Front

What is the general form of an absolute value function?

Back

f(x) = a|bx + c| + d, where a, b, c, and d are constants.

Front

How does a reflection across the x-axis affect the graph of a function?

Back

It flips the graph over the x-axis, changing the sign of the output values.

Front

What does a horizontal shift to the right by 2 units look like in an absolute value function?

Back

It is represented as f(x) = |x - 2|.

Front

What is the effect of a vertical shift down 7 units on the graph of a function?

Back

It moves the entire graph down by 7 units, represented as f(x) - 7.

Front

What is the equation of the graph that represents a vertical stretch by a factor of 2 and a vertical shift up 5 units?

Back

f(x) = 2|x| + 5.

Front

What is the equation of the graph that represents a horizontal compression by a factor of 1/2?

Back

f(x) = |2x|.

Front

What is the effect of a negative sign in front of an absolute value function?

Back

It reflects the graph across the x-axis.

Front

What is the equation of the graph that represents a vertical shift up 4 units and a reflection across the x-axis?

Back

f(x) = -|x| + 4.

Front

How do you determine the vertex of an absolute value function?

Back

The vertex is found at the point (h, k) in the function f(x) = a|bx + c| + d.