9 Questions
For all values of x, x2 + 6x – 2 can be expressed in the form (x + p)2 + q
False
The expression x2 + 10x + 3 can be written in the form (x + a)2 + b for all values of x
True
The expression x2 – 4x – 10 can be expressed in the form (x + a)2 + b for all values of x
False
The equation of a curve y = x2 – 8x + 21 has a minimum value at points with coordinates (4, -5)
False
The expression x2 – 8x + 21 can be expressed in the form (x – a)2 + b for all values of x
True
The expression x2 – 6x + 10 can be written in the form (x + a)2 + b for all values of x
False
The minimum value of y = x2 – 6x + 10 occurs at the points with coordinates (3, 1)
True
The expression x2 + 4x – 12 can be simplified into the form (x + a)2 + b for all values of x
False
The equation x2 + 4x – 12 = 0 has two distinct real roots
True
Solve intermediate math problems involving completing the square, including finding values of p and q, expressing quadratic equations in a specific form, and determining minimum values of quadratic functions.
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