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Laabri

Algebra 2 4-9 Guided Practice: Quadratic Systems

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Last updated over 3 years ago
19 Nsɛmmisa
3
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A.CED.3
F.IF.7.a
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10
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A.CED.3
A.REI.7
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1.

Video Check: Select all that apply with regards to the video embedded directly above this item.

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2.

Solve It! One way to draw a mouth on the face shown above is to graph the quadratic function below with the given domain restrictions.

What second quadratic function would you graph to open the mouth?

◆ Click here to open the image and overlayed smile parabola on Desmos.

◆ Add a new quadratic equation to create an open mouth.

◆ Take a screenshot of the face with the open mouth you created.

◆ Upload or paste your screenshot to the canvas.

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3.

Video Check: Select all that apply with regards to the video embedded directly above this item.

10
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4.

Take Note: Define quadratic/linear system.

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9.

Problem 1 Got It?

A.CED.3
A.REI.11
+2
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10.

Video Check: Select all that apply with regards to the video embedded directly above this item.

10
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11.

Problem 2 Got It?

A.CED.3
A.REI.11
+2
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12.

Video Check: Select all that apply with regards to the video embedded directly above this item.

10
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13.

Problem 3 Got It?

A.CED.3
A.REI.11
F.IF.7.a
10
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14.

Problem 3 Got It?

A.CED.3
A.REI.11
F.IF.7.a
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15.

Video Check: Select all that apply with regards to the video embedded directly above this item.

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16.
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17.

Problem 4 Got It?

  1. Graph the solution of the system of inequalities at desmos.com.

  2. Zoom and pan your graph to establish an appropriate viewing window.

  3. Capture a screenshot of your graph and upload or paste it onto the Formative canvas.

  4. Use the Formative canvas tools and a bright, contrasting color to shade in the region of solutions (over the shading created by Desmos).

y\leq -x^{2}-4x+3

y\geq x^{2}+3

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18.

Problem 4 Got It? Reasoning: How many solutions are possible in system of inequalities? Select all that apply.

10
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19.

🧠 Retrieval Practice:

Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

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5.

Take Note: How many solutions are possible in a quadratic system of one quadratic equation and one linear equation? Select all that apply.

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6.

Take Note: Graph an example of a quadratic/linear system of two equations that has two solutions.

(A system containing one quadratic equation and one linear equation.)

  • Klik Graph tab (Graph 1, Graph 2, ne nea ɛkeka ho) so ma graph biara a ɛsɛ sɛ wobɔ.
  • Paw graph type a ɛfata.
  • Klik graph no akyi na fa asɛm bi ka ho. Fa nsɛntitiriw abien ka ho na yɛ graph. Twe asɛm bi anaa kyerɛw x ne y coordinates na sesa ne gyinabea. Klik asɛm bi so na popa.
  • Sɛ wobɔ wo graph no wie a, wubetumi ahyɛ dashed line box no mu.
Linear a ɛyɛ linearexpand_more
Asemmisa {{asɛmmisaAhyɛnsode}}
7.

Take Note: Graph an example of a quadratic/linear system* of two equations that has no solutions.

*A system containing one quadratic equation and one linear equation.

  • Klik Graph tab (Graph 1, Graph 2, ne nea ɛkeka ho) so ma graph biara a ɛsɛ sɛ wobɔ.
  • Paw graph type a ɛfata.
  • Klik graph no akyi na fa asɛm bi ka ho. Fa nsɛntitiriw abien ka ho na yɛ graph. Twe asɛm bi anaa kyerɛw x ne y coordinates na sesa ne gyinabea. Klik asɛm bi so na popa.
  • Sɛ wobɔ wo graph no wie a, wubetumi ahyɛ dashed line box no mu.
Linear a ɛyɛ linearexpand_more
Asemmisa {{asɛmmisaAhyɛnsode}}
8.

Take Note: Graph an example of a quadratic/linear system of two equations that has exactly one solution.

  • Klik Graph tab (Graph 1, Graph 2, ne nea ɛkeka ho) so ma graph biara a ɛsɛ sɛ wobɔ.
  • Paw graph type a ɛfata.
  • Klik graph no akyi na fa asɛm bi ka ho. Fa nsɛntitiriw abien ka ho na yɛ graph. Twe asɛm bi anaa kyerɛw x ne y coordinates na sesa ne gyinabea. Klik asɛm bi so na popa.
  • Sɛ wobɔ wo graph no wie a, wubetumi ahyɛ dashed line box no mu.
Linear a ɛyɛ linearexpand_more