M3T1&T2 Test Review

Front

What is the equation of the absolute value function?

Back

f(x)= 4|x - 3|

Front

What are the transformations for the equation y=-3|x+1|-3?

Back

Reflection, dilation by a factor of 3, left 1, and down 3

Front

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

Back

Left 2 down 5

Front

What does the term 'dilation' mean in the context of functions?

Back

Dilation refers to the stretching or compressing of a graph vertically or horizontally.

Front

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

Back

It reflects the graph across the x-axis.

Front

How does the addition of a constant outside the absolute value affect the graph?

Back

It shifts the graph vertically.

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

What does the term 'reflection' mean in transformations?

Back

Reflection means flipping the graph over a specific axis.

Front

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

Back

The vertex is found at the point (h, k) in the equation f(x) = a|x - h| + k.

Front

What is the impact of changing the value of 'a' in the function f(x) = a|x - h| + k?

Back

Changing 'a' affects the steepness of the graph; if |a| > 1, the graph is steeper, and if |a| < 1, it is wider.