What is the axis of symmetry for the quadratic function represented by the equation $$y = ax^2 + bx + c$$ ?

The axis of symmetry is given by the formula $$x = -\frac{b}{2a}$$ .

What are the X-intercepts of the function $$f(x) = x^2 - 4$$ ?

The X-intercepts are $$x = -2$$ and $$x = 2$$ .

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

Changing 'a' affects the vertical stretch or compression and the direction of the graph.

What is the definition of a function?

A function is a relation that assigns exactly one output for each input.

What does the term 'parent function' refer to?

A parent function is the simplest form of a function in a family of functions.

What is the significance of the vertex in a quadratic function?

The vertex represents the maximum or minimum point of the parabola.

How do you determine if a function is even, odd, or neither?

A function is even if $$f(-x) = f(x)$$ , odd if $$f(-x) = -f(x)$$ , and neither if neither condition holds.

What is the formula for the distance between two points (x1, y1) and (x2, y2)?

The distance is given by $$d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}$$ .

What is the definition of the domain of a function?

The domain is the set of all possible input values (x-values) for the function.

What is the definition of the range of a function?

The range is the set of all possible output values (y-values) for the function.

final exam alg 2 fall 24 Flashcards

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FLASHCARD QUESTION

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What is the equation of the absolute value function?

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