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f(x) = 4x^2 + 8x - 5 ; complete the square to find the turning point of f(x).

4x^2 + 8x - 5 = 0 4(x^2 + 2x - (5/4)) = 0 4((x + 1)^2 - 1^2 - (5/4)) = 0 4((x + 1)^2 - (9/4)) = 0 4(x + 1)^2 - 9 = 0 4(x + 1)^2 - 9 = 0 Turning point is at (-1, -9)
CK
Answered by Charlotte K. • Maths tutor
10075 Views

Solve the simultaneous equations: y=x^2+4x-2, y=x+2

Equations: 1). y=x^2+4x-2 2.)y=x+2 x+2=x^2+4x-2 First put equation 1 in equation 2 0=x^2+3x-4 Make one side of the equation equal to 0 0=(x+4)(x-1) Factorise the equations Equations 3).x+4=0 4). x-1=0 One or...
PA
Answered by Phoebe A. • Maths tutor
3594 Views

I'm confused about the use of the conditional tense in German, could you explain how it's formed and its uses?

The first important thing to remember about forming the conditional tense in German is that both parts of the sentence must be in the conditional tense. Take for example the sentence 'If I woke up earlier to...
FP
Answered by Finn P. • German tutor
3379 Views

Do I have to go to the Medical School's open day?

The short answer is no. Firstly, medical schools understand that very few students attend four open days, medical schools are placed throughout the country and unless you are applying to four which are in cl...
PC
2301 Views

In programming, some languages are compiled and others are interpreted. Define the difference between the two.

An interpreter translates a program into machine code one line at a time. A compiler, however, scans the entire document and translates it into machine code as a whole. The overall execution time of an inter...
JC
Answered by Jack C. • Computing tutor
2768 Views