Completing the Square Practice Problems
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Questions and Answers

The equation x^2 + 6x - 2 = (x + p)^2 + q holds true for all values of x.

False

In the expression x^2 + 10x + 3, a = 5 and b = 28.

False

The quadratic x^2 - 4x - 10 can be expressed in the form (x - a)^2 + b.

False

The minimum value of y = x^2 - 4x - 10 is attained at (2, -14).

<p>True</p> Signup and view all the answers

For x^2 - 8x + 21 to be written in the form (x - a)^2 + b, a = 4 and b = 7.

<p>True</p> Signup and view all the answers

In the curve y = x^2 - 8x + 21, the coordinates of the minimum point are (4, 5).

<p>False</p> Signup and view all the answers

The quadratic x^2 - 6x + 10 can be expressed in the form (x + a)^2 + b.

<p>False</p> Signup and view all the answers

The minimum value of y = x^2 - 6x + 10 is achieved at (-3, -1).

<p>True</p> Signup and view all the answers

The quadratic x^2 + 4x - 12 can be written as (x - 2)^2 + 16 for all values of x.

<p>False</p> Signup and view all the answers

The quadratic x^2 - 4x - 10 can be expressed in the form (x - a)^2 + b.

<p>True</p> Signup and view all the answers

For x^2 - 8x + 21 to be written in the form (x - a)^2 + b, a = 3 and b = 12.

<p>False</p> Signup and view all the answers

The quadratic x^2 + 4x - 12 can be written as (x - 2)^2 + 16 for all values of x.

<p>False</p> Signup and view all the answers

The minimum value of y = x^2 - 6x + 10 is achieved at (3, 1).

<p>False</p> Signup and view all the answers

In the curve y = x^2 - 8x + 21, the coordinates of the minimum point are (4, 5).

<p>False</p> Signup and view all the answers

The equation x^2 + 6x - 2 = (x + p)^2 + q holds true for all values of x.

<p>True</p> Signup and view all the answers

The quadratic x^2 + 10x + 3 can be expressed in the form (x + a)^2 + b.

<p>False</p> Signup and view all the answers

The minimum value of y = x^2 - 4x - 10 is attained at (-2, -14).

<p>True</p> Signup and view all the answers

(a) Express x^2 – 6x + 10 in the form (x + a)^2 + b ... (b) Hence write down the minimum value of y = x^2 – 6x + 10.

<p>False</p> Signup and view all the answers

Why may an axolotl die in water with a low concentration of oxygen?

<p>The axolotl cannot produce enough energy through aerobic respiration.</p> Signup and view all the answers

What type of cell divides when a new gill grows in an axolotl?

<p>Stem cells</p> Signup and view all the answers

Which condition could be treated using regenerated human tissue?

<p>Organ failure</p> Signup and view all the answers

Why is the axolotl a suitable animal for research in the laboratory?

<p>Axolotls have a high rate of cell division and tissue regeneration.</p> Signup and view all the answers

What is the main reason an axolotl may die in water with low oxygen concentration?

<p>The axolotl cannot produce enough energy through anaerobic respiration.</p> Signup and view all the answers

Which type of cell is responsible for the regeneration of a lost gill in an axolotl?

<p>Stem cells</p> Signup and view all the answers

Which human condition could be treated using regenerated tissue, based on the information provided?

<p>Organ failure</p> Signup and view all the answers

Why is the axolotl considered a suitable animal for research in the laboratory?

<p>Axolotls have a high rate of cell division and tissue regeneration.</p> Signup and view all the answers

What is the primary reason an axolotl may die in water with low oxygen concentration?

<p>The axolotl cannot produce enough energy through aerobic respiration.</p> Signup and view all the answers

Which type of cell is responsible for the regeneration of a lost gill in an axolotl?

<p>Stem cells</p> Signup and view all the answers

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