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Maths
GCSE

The graph of y = x^2 – 1 is translated 3 units to the left to give graph A.The equation of graphA can be written in the form y=x^2 +bx+c Work out the values of b and c.

identify what the question is asking -> both translation rules and expansion of bracketstranslation rule --> translation of 3units left on x-axis actually gives a the graph of y=(x+3)^2 -1. This is ...

GP
Answered by Georgia P. Maths tutor
8341 Views

Solve simultaneously: 3x+2y=7 & x-2y=-3

Add the 2 eqns together to eliminate the y's to give: 4x=4. Divide by 4 to give x=1Now substitute x=1 into the first eqn: 3+2y=7. Subtract 3 from both sides -> 2y=4. Divide by 2 to give y=2.Now, check ...

KL
Answered by Katie L. Maths tutor
5366 Views

Find the coordinates of the turning point of the graph y=x^2 -x -12. Use it to sketch the graph on a set of x-y axis.

-Firstly we should check if the equation has the variables separated (x on one side and y on the other side of the equal sign), which they apear to are, therefore we can proceed to the next step. As it is...

IP
Answered by Ioanna P. Maths tutor
6847 Views

solve 15x = 6x^3 + 8x^2

6x3 + 8x2 -15x = 0x(6x2 + 8x - 15) = 0x=06x2 + 8x - 15 = 0Quadratic formula ( can demonstrate in interview)x = 0 or x = 1.049 or x = -2.38

LL
Answered by Lewis L. Maths tutor
3046 Views

find the second degree equation that passes through the points: (0,1) (2,2) (1,0)

first of all we have to recognise the general form of the equation, similar to the equation of a line but we just have to add one more term due to the fact that it is a second degree equation: y=ax2<...

LG
Answered by Luca G. Maths tutor
3459 Views

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