Algebra 2 4-1 Independent Practice: Quadratic Functions and Transformations

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by Matthew Richardson

| 7 Questions

1

20

Graphing: Sketch a graph of the function on the canvas. Include relevant graph details.

2

10

Analysis: Determine whether the function has a maximum or a minimum value. First complete without using graphing, but you may check your response on the embedded Desmos calculator.

minimum (upward-opening parabola)

maximum (downward-opening parabola)

3

10

Conversion: Rewrite the equation in vertex form.

5

10

Reasoning: Is the equation a quadratic function? Explain.

Yes; Since (x -4) is squared, the function is a quadratic.

No; Since (x - 4) squared is multiplied by 0, the function is reduced to y = 3. It is linear, not quadratic.

6

10

Compare and Contrast: Describe the differences between the graphs of these functions.

7

10

Reflection: Math Success

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