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

Last updated over 3 years ago

7 questions

F.BF.3

F.IF.4

F.IF.7.a

F.BF.3

F.IF.4

F.IF.7.a

F.BF.3

F.IF.4

F.IF.7.a

F.IF.4

F.BF.3

F.IF.4

F.IF.7.a

F.BF.3

F.IF.4

F.IF.7.a

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

Last updated over 3 years ago

7 questions

Question 1

Graphing: Sketch a graph of the function on the canvas. Include relevant graph details. Complete this item without Desmos or a graphing calculator. Consider that it is simply a translation of the parent function. You may then check your work at Desmos.

You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.

F.BF.3

F.IF.4

F.IF.7.a

Question 2

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

maximum (downward-opening parabola)

minimum (upward-opening parabola)

F.BF.3

F.IF.4

F.IF.7.a

Question 3

F.BF.3

F.IF.4

F.IF.7.a

Question 5

Reasoning: Is the equation a quadratic function? Explain.

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

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

F.IF.4

Question 6

Compare and Contrast: Describe the differences between the graphs of these functions.
You may use the canvas to help illustrate your written description.

F.BF.3

F.IF.4

F.IF.7.a

Question 7

Reflection: Math Success

F.BF.3

F.IF.4

F.IF.7.a

Question 1

Graphing: Sketch a graph of the function on the canvas. Include relevant graph details. Complete this item without Desmos or a graphing calculator. Consider that it is simply a translation of the parent function. You may then check your work at Desmos.

You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.

Question 2

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

maximum (downward-opening parabola)

minimum (upward-opening parabola)

Question 3

Conversion: Rewrite the equation in vertex form.

Question 5

Reasoning: Is the equation a quadratic function? Explain.

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

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

Question 6

Compare and Contrast: Describe the differences between the graphs of these functions.
You may use the canvas to help illustrate your written description.

Question 7

Reflection: Math Success

Conversion: Rewrite the equation in vertex form.

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

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

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

Reasoning: Is the equation a quadratic function? Explain.

Compare and Contrast: Describe the differences between the graphs of these functions.You may use the canvas to help illustrate your written description.

Reflection: Math Success

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

Conversion: Rewrite the equation in vertex form.

Reasoning: Is the equation a quadratic function? Explain.

Compare and Contrast: Describe the differences between the graphs of these functions.You may use the canvas to help illustrate your written description.

Reflection: Math Success

Compare and Contrast: Describe the differences between the graphs of these functions.
You may use the canvas to help illustrate your written description.

Compare and Contrast: Describe the differences between the graphs of these functions.
You may use the canvas to help illustrate your written description.