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The point (-3, -4) is the turning point of the graph of y = x^2 + ax + b, where a and b are integers. Find the values of a and b.

The function y = x 2 + ax + b is a quadratic polynomial and therefore has one turning point. The turning point of a quadratic graph is either the maximum or minimum point. The coefficient of x 2 is equal to ...
OL
Answered by Oliver L. • Maths tutor
16663 Views

Integrate sin^2(x)

sin^2(x) is not one of the functions whose antiderivative is commonly known to us. When we see trigonometric functions our best bet is usually to think of some trigonometric identity we know. In this case we...
JP
Answered by John P. • Maths tutor
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A circle with center C has equation x^2 + y^2 + 8x - 12y = 12

Circle equation = (x - a) 2 + (y - b) 2 = r 2 Where Centre coordinates (a, b) and radius 'r'Therefore x 2 + y 2 + 8x - 12y = 12 is to be rewritten in this formComplete the square to find a and bThis gives(x+...
HK
Answered by Henry K. • Maths tutor
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Expand and simplify (x − 4)(2x + 3y)^2

Rewrite (x − 4)(2x + 3y) 2 as (x - 4)(2x + 3y)(2x + 3y) Multiply out the first two brackets to give -(2x 2 + 3xy - 8x 2 - 12y)(2x + 3y) Multiply out the remaining brackets4x 3 + 6x 2 y - 16x 2 - 24xy + 24xy ...
HK
Answered by Henry K. • Maths tutor
16830 Views

Find the values of x and y when 3x+4y=18 and 4x+2y=14

Label equations: (a) 3x+4y=18(b) 4x+2y=14We need to be able to cancel out either the x's or the y's. The simplest choice is to double (b) so that we can cancel out the y's.2 x (b) : 8x+4y=28 (Give this a new...
RE
Answered by Rosie E. • Maths tutor
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