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Solution of deriving vertex from the quadratic function?

2 AND 9


Which statement describes the rate of change of the following function?

Which statement describes the rate of change of the following function?f(x) = -6x - 9


What is the vertex of x2 plus 18x plus 19?

The vertex is (-9, -62).


What is the trinomial of x2 plus 8x-9?

x2 + 8x - 9 is a quadratic expression that describes a parabolic function. It can be factored out as: (x + 9)(x - 1) Which tells us that if we graphed it as a function of x, it would intersect the x-axis at the points (-9, 0) and (1, 0). It's derivative is: 2x + 8 which tells us that it's vertex is at the x-location -4, at the point (-4, -25). The second derivative is 2, which tells us that the vertex is a minimum, and that the function's range is: {f(x) | f(x) ≥ -25, f(x) ∈ ℜ}


How do u find the equation of the axis of symmetry and the vertex of the graph of each function for example y x2-8x-9 Plz help i need to know this?

To find the equation of the axis of symmetry for the quadratic function (y = x^2 - 8x - 9), use the formula (x = -\frac{b}{2a}), where (a = 1) and (b = -8). This gives (x = -\frac{-8}{2 \cdot 1} = 4). The vertex can be found by substituting this (x) value back into the original equation: (y = 4^2 - 8(4) - 9 = 16 - 32 - 9 = -25). Thus, the vertex is at the point ((4, -25)) and the axis of symmetry is the line (x = 4).


What is x2-9?

The expression ( x^2 - 9 ) is a difference of squares, which can be factored as ( (x - 3)(x + 3) ). This means that the expression equals zero when ( x ) is either 3 or -3. The graph of this quadratic function opens upwards and has its vertex at the point (0, -9).


How many diagonals does a hexagon have?

A hexagon has 9 diagonals. Each vertex of a n-sided polygon can be connected to n - 3 others with diagonals. Thus n(n - 3) possible diagonals. However, when Vertex A is connected to vertex C, vertex C is also connected to vertex A, thus each diagonal is counted twice. Thus: number_of_diagonals = n(n - 3)/2 = 6(6-3)/2 = 6x3/2 = 9


How many vertex does a rhomboid have?

9 or 6 depending on what kind of mood its in


What 3d shape has 6 vertex and 9 edges?

A triangular prism.


How many diagonals can be drawn from one vertex of dodecagon?

12-3 = 9


The vertex of this parabola is at 3 -2 When the x value is 4 the y value is 3 What is the coefficient of the squared expression in the parabolas equation?

Vertex = (3, - 2)Put in vertex form.(X - 3)2 + 2X2 - 6X + 9 + 2 = 0X2 - 6X + 11 = 0=============The coefficeint of the squared term is 1. My TI-84 confirms the (4, 3) intercept of the parabola and the 11 Y intercept shown by the function.


What is the vertex of the equation Y equals 4X squared minus 8Xplus 9?

To find the vertex of the quadratic equation ( Y = 4X^2 - 8X + 9 ), we can use the vertex formula ( X = -\frac{b}{2a} ). Here, ( a = 4 ) and ( b = -8 ), so ( X = -\frac{-8}{2 \times 4} = 1 ). Substituting ( X = 1 ) back into the equation gives ( Y = 4(1)^2 - 8(1) + 9 = 5 ). Therefore, the vertex of the equation is at the point ( (1, 5) ).