What is the vertex of the absolute value function $$y = |x|$$ ?

The vertex of the absolute value function $$y = |x|$$ is at the point (0, 0).

What transformation does the equation $$y = |x| + 5$$ represent?

The equation represents a vertical shift of the parent function $$y = |x|$$ up by 5 units.

How do you find the vertex of the function $$y = |x - 2| + 1$$ ?

The vertex is found at the point (2, 1). This is determined by identifying h and k in the form $$y = |x - h| + k$$ .

What does the term 'transformation' refer to in the context of absolute value functions?

Transformation refers to the changes made to the parent function's graph, including shifts, reflections, and stretches.

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

The vertex of the function is at the point (-1, 2).

What does the equation $$y = |x| - 4$$ represent in terms of transformation?

The equation represents a vertical shift of the parent function $$y = |x|$$ down by 4 units.

What is the general form of an absolute value function?

The general form of an absolute value function is $$y = a|x - h| + k$$ , where (h, k) is the vertex.

What is the effect of changing the value of 'a' in the equation $$y = a|x|$$ ?

Changing the value of 'a' affects the vertical stretch or compression of the graph. If 'a' is negative, it also reflects the graph across the x-axis.

How do you determine the transformations of the function $$y = |x - 5| + 3$$ from the parent function?

The function is shifted right by 5 units and up by 3 units from the parent function $$y = |x|$$ .

Absolute Value Functions Flashcards

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FLASHCARD QUESTION

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What is the definition of an absolute value function?

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