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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)
Water in a canal 30 dm wide and 12 dm deep is flowing with a velocity of 10 km/h. How much area will it irrigate in 30 minutes if 8 cm of standing water is required for irrigation?
Carlie received x dollars every hour she spent babysitting. She babysat a total of h hours. She then gave half of the money to a friend who had stopped through to help her. How muc
A surveyor is hired to calculate the width of a river. Using the example provided, Calculate the width of the river. a. 48 ft b. 8 ft c. 35 ft d. 75 ft
(a+b)''2
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For the given function recognize the intervals where the function is increasing and decreasing and the intervals where the function is concave up & concave down. Utilizes this info
round to the nearest ten to estimate , 422+296
The Invisible Effort : Although the development of children is a process, what is noticed and given recognition to is the end-product. We usually speak of children having achieve
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