Equation of parabola from graph
Transformed equation of parabola is:
\(y=af(x-h)^2+k\) \(……(1)\)
Where \(a=\)Vertical stretch or compression,
\(h=\)horizontal shift (left or right)
\(k=\)Vertical shift (up or down)
From graph, \(h=3\) and \(k=-2\);
plug \(h\) and \(k\) values in eqn \((1)\)
\(y=a(x-3)^2-2\) /(……(2)\)
To find \(‘a’\), use the given point \((1,0)\) as:
\(0=a(5-3)^2-2\)
\(0=4a-2\)
\(a=1/2\);plug in eqn.(2)
\(y=1/2 (x-3)^2-2\);which is the reqd.eqn.
Trigonometric Co-ratios
Learn to convert and use trigonometric co-ratio functions to solve trigonometric problems.
Operations with integers
Absolute value: A number's absolute value is its numerical value without taking the sign into consideration, and it is represented by the sign \(|a|\); where a is any number.
\(e.g.\)\(|a|=a\) and \(|-a|=a\)
Water pollution
What is water pollution?
Water pollution is when waste, chemicals, or other particles cause a body of water (i.e. rivers, oceans, lakes) to become harmful to the fish and animals that need the water to survive.
What causes water pollution?
- Volcanoes
- Algae blooms
- Animal waste
- Silt from storms and floods.
Air Pollution
What is air pollution?
Air pollution is when unwanted chemicals, gasses, and particles enter the air and the atmosphere causing harm to animals and damaging the natural cycles of the Earth.
What causes air pollution?
Natural causes:
- Eruptions of volcanoes
- Dust storms
- Forest Fires
Human activities responsible for air pollution:
Trigonomatry-2
Right angled triangle identity: In trigonometry, the most widely used triangle is Right Angled triangle. There are a number of formulas or identities related to right angled triangles, which we will learn about 'Pythagoras Theorem’ in this lesson.