precalc 1.3A flashcard

Front

Describe the transformation of the equation y = |x| to y = |x + 2| - 5.

Back

Left 2 down 5.

Front

Write the absolute value function for the following transformations: Reflection across the x-axis, Vertical shift right 2 units, Horizontal shift down 7 units.

Back

y = -|x - 2| - 7.

Front

What is the equation of the graph that represents the transformation of the parent function y = |x| to y = |x - 2|?

Back

f(x) = |x - 2|.

Front

Identify the function graphed if it is represented as f(x) = -3|x - 1| + 4.

Back

f(x) = -3|x - 1| + 4.

Front

Which parent function corresponds to the graph of y = |x|?

Back

f(x) = |x|.

Front

What is the effect of a negative sign in front of an absolute value function, such as in y = -|x|?

Back

It reflects the graph across the x-axis.

Front

How does a vertical shift of k units affect the graph of y = |x|?

Back

It shifts the graph up if k is positive and down if k is negative.

Front

What is the transformation of the graph of y = |x| when it is shifted right by 3 units?

Back

y = |x - 3|.

Front

If the function is y = |x + 4| + 2, what transformations have been applied to the parent function y = |x|?

Back

Shift left 4 units and up 2 units.

Front

What is the general form of an absolute value function?

Back

y = a|bx - h| + k, where (h, k) is the vertex.