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Write down the coordinates of the turning point of the graph y = x^2 – 8x + 25

First, for this graph dy/dx = 2x-8. At a turning point of any graph, dy/dx=0. Therefore 2x-8=0. x=4. Plug x value back into original graph formula : (4)^2 - 8(4) + 25 = 9. Therefore y=9. Coordinates : (4, 9).
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Answered by Adi R. • Maths tutor
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Write 2x^2 + 16x + 26 in the form a(x + d)^2 + e where a, d, and e are integers.

This is an example of completing the square. Completing the square means taking a usual quadratic equation ax 2 +bx+c=0 and writing it as a(x+d) 2 +e=0, where we must find the numbers d and e.Consider comple...
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Answered by Hannah B. • Maths tutor
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Solve the equation: 5p − 7 = 3p + 3 .

At first, it is important to identify that this is a linear equation, usually in the form of y = mx + b. These equations are used for straight line graphs. The most important rule to remember when solving th...
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Answered by Mayurie S. • Maths tutor
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Find the area between the positive x axis and the line given by y=-(x^2)+2x

The first piece of understanding needed to answer this question is that integration can be used to find the area under a graph between two points. However, before we can integrate we must find the bounds bet...
Answered by • Maths tutor
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The perimeter of a right-angled triangle is 72 cm. The lengths of its sides are in the ratio 3 : 4 : 5 Work out the area of the triangle.

Let x be a number so that the sides of the triangle are 3x, 4x and 5x, because the ratio is 3 : 4 : 5. The perimeter is 3x+4x+5x=12x=72, meaning that x = 72/12 = 6. The sides of the triangle are 3 6=18, 4 6=...
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Answered by Vlad P. • Maths tutor
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