12.1 Graph Absolute Value

Front

What is the vertex of the function y = -2|x + 10| + 3?

Back

(-10, 3)

Front

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

Back

(3, 1)

Front

What is the equation of the graph that has a vertex at (1, 3) and opens downwards?

Back

y = -2|x - 1| + 3

Front

Describe the transformations of the absolute value equation y = -2|x - 1| + 3.

Back

Reflection, Vertical Stretch, shifts up 3 units.

Front

Which function is graphed if the vertex is at (-2, -4)?

Back

f(x) = |x + 2| - 4

Front

What does the 'a' value in the function y = a|x - h| + k represent?

Back

The 'a' value represents the vertical stretch or compression and the direction of the opening (upward if a > 0, downward if a < 0).

Front

How do you find 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 negative 'a' value in the function y = a|x - h| + k?

Back

It reflects the graph across the x-axis.

Front

What is the vertex of the function y = 3|x + 4| - 2?

Back

(-4, -2)

Front

What is the equation of the absolute value function with a vertex at (0, 0) and a vertical stretch of 2?

Back

y = 2|x|.