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Explain the Vertex Formula ?
The vertex formula is a convenient way of finding the vertex of the graph for any quadratic function. The graph of the quadratic equation f(x) = ax2 + bx + c has its vertex at:
(-b/2a, f(-b/2a))
In other words the x coordinate of the vertex is always x = -b/2a, which is also the equation for the axis of symmetry.
SymmetryNote: this formula is derived from the standard form by completing the square.Here's an example that you can look at:
Question: Use the vertex formula to find the vertex of the graph of the following function:f(x) = -x 2 + 6x - 5 Solutions: Find the x-coordinate of the vertex first, using the vertex formula. x = -b /2aX = -6 / 2(-1)X = -6/-2X =3This tells us that the vertex is the point (3, ?). We now need to find the y-coordinate, or functional value, forx = 3. f(3) = -(3) 2 + 6(3) - 5= -9 + 18 -5= 4So, the vertex point of f(x) = -x2 +6x - 5 is the point (3,4)
Carry out the indicated operation and dropped down the answer to lowest terms. (x 2 - 5x -14/ x 2 -3x+2) . (x 2 - 4)/x 2 -14x+49) Solution This is a multiplication.
Two stations due south of a leaning tower which leans towards the north are at distances a and b from its foot. If α , β be the elevations of the top of the tower from these
An integer is chosen at random from the first two hundreds digit. What is the probability that the integer chosen is divisible by 6 or 8. (Ans : 1/4 ) Ans:
what is 15,909 in roman numeral
one half y minus 14
I am student of M.com and also doing practice to crack bank or other competitive exam..please tell me shortcuts
Evaluate: 30 - 12÷3×2 =
1,5,14,30,55 find the next three numbers and the rule
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