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How do function transformations work?

Typically consists of a rundown of all 6 function transformations in a way which is interactive with the student.

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Solve algebraically the simultaneous equations x^2 + y^2 = 25 and y - 3x = 13

Start to solve by substitution: eqn 1 x^2 + y^2 = 25eqn 2 y - 3x = 13 => y = 3x + 13Substitute eqn 2 into 1: x^2 + (3x +13)^2 = 25expand and simplify the equation ...5x^2 + 39x + 72 = 0

Answered by Rosita R. • Maths tutor

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For the equation x^2 - 2x - 8 = y find: (a) The roots. (b) The y-intercept. (c) The coordinate of the turning point

(a) Several methods to do this, simplest would be to factorise the quadratic into (x - 4)(x + 2) = 0 and from here see that root occur at x = 4 and x = -2.(b) Substitute x = 0 into the equation 0^2 - 2

Answered by Benjamin C. • Maths tutor

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Solve the simultaneous equations for x and y: 2x - 3y + 4 = 0 , x - 2y + 1 = 0.

Simultaneous equations can be solved either by substitution or elimination. Solving this by elimination:2x - 3y + 4 = 0 (1)x - 2y + 1 = 0 (2)To eliminate x, we can multiply both sides of the second equati...

Answered by Benjamin R. • Maths tutor

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8 pens in a bag, 3 blue, 5 red. 2 taken out at random, without replacement. Probability they are the same colour?

Either both blue or both red. 'OR' rule - add probabilities.Blue - first blue and second blue - 'AND' rule - multiply probabilities. 3/8 x 2/7 (as not replaced) = 6/56 = 3/28 (multiply top and bottom)Red ...

Answered by Amy S. • Maths tutor

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