How do you write an absolute value function with transformations?

To write an absolute value function with transformations, identify the shifts and reflections, then use the form $$y = a|x-h| + k$$ , where (h, k) represents the shifts.

What is the significance of the focus and vertex in a parabola?

The focus is a point inside the parabola that determines its shape, while the vertex is the highest or lowest point on the graph.

How do you find the equation of a parabola given the focus and vertex?

The equation of a parabola can be found using the formula $$(y-k)^2 = 4p(x-h)$$ , where (h, k) is the vertex and p is the distance from the vertex to the focus.

What is the formula for the cost of multiple items?

The total cost can be calculated using the formula $$\text{Total Cost} = \text{Price per item} \times \text{Quantity}$$ .

What is the relationship between the coefficients of a quadratic equation and its roots?

The sum of the roots is given by $$-\frac{b}{a}$$ and the product of the roots is given by $$\frac{c}{a}$$ for the quadratic equation $$ax^2 + bx + c = 0$$ .

What does it mean for a function to have a vertical shift?

A vertical shift means that the entire graph of the function moves up or down by a certain number of units.

How do you identify the range of a function from its graph?

The range can be identified by looking at the y-values that the function takes on the graph.

What is the difference between domain and range?

The domain is the set of all possible input values (x-values) for a function, while the range is the set of all possible output values (y-values).

Algebra 2 Checkpoint 2 Review Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is the vertex form of a quadratic function?

Back

2.

FLASHCARD QUESTION

Front

How do you find the product of the solutions of a quadratic equation?

Back

3.

FLASHCARD QUESTION

Front

What does it mean for a function to be reflected across the x-axis?

Back

A reflection across the x-axis means that for every point (x, y) on the graph, the point (x, -y) will also be on the graph.

4.

FLASHCARD QUESTION

Front

What is the absolute value function?

Back

5.

FLASHCARD QUESTION

Front

How do you determine the domain of a quadratic function?

Back

6.

FLASHCARD QUESTION

Front

What is the range of a quadratic function that opens downwards?

Back

7.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic function?

Back

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