28 Questions
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).
True
For x^2 - 8x + 21 to be written in the form (x - a)^2 + b, a = 4 and b = 7.
True
In the curve y = x^2 - 8x + 21, the coordinates of the minimum point are (4, 5).
False
The quadratic x^2 - 6x + 10 can be expressed in the form (x + a)^2 + b.
False
The minimum value of y = x^2 - 6x + 10 is achieved at (-3, -1).
True
The quadratic x^2 + 4x - 12 can be written as (x - 2)^2 + 16 for all values of x.
False
The quadratic x^2 - 4x - 10 can be expressed in the form (x - a)^2 + b.
True
For x^2 - 8x + 21 to be written in the form (x - a)^2 + b, a = 3 and b = 12.
False
The quadratic x^2 + 4x - 12 can be written as (x - 2)^2 + 16 for all values of x.
False
The minimum value of y = x^2 - 6x + 10 is achieved at (3, 1).
False
In the curve y = x^2 - 8x + 21, the coordinates of the minimum point are (4, 5).
False
The equation x^2 + 6x - 2 = (x + p)^2 + q holds true for all values of x.
True
The quadratic x^2 + 10x + 3 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).
True
(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.
False
Why may an axolotl die in water with a low concentration of oxygen?
The axolotl cannot produce enough energy through aerobic respiration.
What type of cell divides when a new gill grows in an axolotl?
Stem cells
Which condition could be treated using regenerated human tissue?
Organ failure
Why is the axolotl a suitable animal for research in the laboratory?
Axolotls have a high rate of cell division and tissue regeneration.
What is the main reason an axolotl may die in water with low oxygen concentration?
The axolotl cannot produce enough energy through anaerobic respiration.
Which type of cell is responsible for the regeneration of a lost gill in an axolotl?
Stem cells
Which human condition could be treated using regenerated tissue, based on the information provided?
Organ failure
Why is the axolotl considered a suitable animal for research in the laboratory?
Axolotls have a high rate of cell division and tissue regeneration.
What is the primary reason an axolotl may die in water with low oxygen concentration?
The axolotl cannot produce enough energy through aerobic respiration.
Which type of cell is responsible for the regeneration of a lost gill in an axolotl?
Stem cells
Practice problems involving completing the square to express quadratic equations in a specific form and find minimum values. Includes finding values of p and q, expressing equations in (x + a)^2 + b form, and determining the minimum value of a quadratic equation. Total marks assigned for each question are specified.
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