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A)Write x^2 – 8x + 25 in the form (x – a)^ 2 + b. (B) Write down the coordinates of the turning point of the graph of y = x2 – 8x + 25. (C)Hence describe the single transformation which maps the graph of y = x2 onto the graph of y = x2 – 8x + 25.

This is a question about completing the square of a quadratic equation. This is used to find the minimum point on a parabolic graph. A) Step 1 - set up the '(x – a) 2 ' term by dividing the coefficient of x ...
PP
Answered by Peter P. • Maths tutor
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Find the value of X when 3x^2 + 6x + 3 = 0

Firstly we can see that this equation can be simplified. They are all divisible by 3 so this means we can simplify it to x^2 + 2x + 1 =0 Now we need to find what times together equals 1 but when added togeth...
AJ
Answered by Alby J. • Maths tutor
3512 Views

Solve: 2((x)^2) + 7x + 3, for x

First factorise the quadratic: (2x + 1)(x + 3). Next set the factorised equation to 0: (2x + 1)(x + 3) = 0. Then solve the equation to find the 2 values of x, dividing through one bracket at a time: First di...
OH
Answered by Olivia H. • Maths tutor
3316 Views

The perimeter of a right-angled triangle is 78 cm. The lengths of its sides are in the ratio 3: 4 : 6 Work out the area of the triangle.

P1- Find the value of a single unit in the ratio:78/(3+4+6) or (13)= 6 P1- Find the length of the base and the height of the triangle through multiplying the single unit scale by the number of units represen...
EE
Answered by Eduardo E. • Maths tutor
3577 Views

Express 56 as the product of the its prime factors.

We will answer this question by drawing a prime factor tree.Start with 56 at the top of the page. Draw two branches coming off 56. 56 = 2 x 28, write 2 and 28 under the separate branches. Circle 2 as it is a...
DP
Answered by Daphne P. • Maths tutor
9960 Views