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To find the vertex of the quadratic equation ( y = x^2 - 8x - 3 ), we can use the vertex formula ( x = -\frac{b}{2a} ). Here, ( a = 1 ) and ( b = -8 ), so ( x = -\frac{-8}{2 \cdot 1} = 4 ). Plugging ( x = 4 ) back into the equation gives ( y = 4^2 - 8 \cdot 4 - 3 = 16 - 32 - 3 = -19 ). Thus, the vertex is at the point ( (4, -19) ).
What else can I help you with?
What is the vertex form of a quadratic function and how do you find the vertex when a quadratic is in vertex form?
The vertex form of a quadratic function is expressed as ( f(x) = a(x-h)^2 + k ), where ( (h, k) ) represents the vertex of the parabola. To find the vertex when a quadratic is in vertex form, simply identify the values of ( h ) and ( k ) from the equation. The vertex is located at the point ( (h, k) ).
How do you convert vertex form to quadratic form?
Do you have a specific vertex fraction? vertex = -b/2a wuadratic = ax^ + bx + c
How do you know if the vertex is a minimum?
To determine if a vertex is a minimum in a quadratic function, you can analyze the coefficient of the quadratic term (the leading coefficient). If the coefficient is positive, the parabola opens upwards, indicating that the vertex is a minimum point. Additionally, you can use the second derivative test; if the second derivative at the vertex is positive, the vertex is confirmed as a minimum.
Solution of deriving vertex from the quadratic function?
2 AND 9
What is the vertex of the quadratic y -2x2 plus 4x-1?
It is (1, 1).
What is the vertex form of a quadratic function and how do you find the vertex when a quadratic is in vertex form?
The vertex form of a quadratic function is expressed as ( f(x) = a(x-h)^2 + k ), where ( (h, k) ) represents the vertex of the parabola. To find the vertex when a quadratic is in vertex form, simply identify the values of ( h ) and ( k ) from the equation. The vertex is located at the point ( (h, k) ).
What is the definition of a Vertex form of a quadratic function?
it is a vertices's form of a function known as Quadratic
What is the vertex of the quadratic function?
It if the max or minimum value.
What is the maximum or minimum of a quadratic equation called?
The vertex.
What reveals a translation of a parent quadratic function?
vertex
How do you convert vertex form to quadratic form?
Do you have a specific vertex fraction? vertex = -b/2a wuadratic = ax^ + bx + c
What is the equation for vertex form?
The vertex form for a quadratic equation is y=a(x-h)^2+k.
How do you know if the vertex is a minimum?
To determine if a vertex is a minimum in a quadratic function, you can analyze the coefficient of the quadratic term (the leading coefficient). If the coefficient is positive, the parabola opens upwards, indicating that the vertex is a minimum point. Additionally, you can use the second derivative test; if the second derivative at the vertex is positive, the vertex is confirmed as a minimum.
Always use the vertex and at least points to graph each quadratic equation?
You should always use the vertex and at least two points to graph each quadratic equation. A good choice for two points are the intercepts of the quadratic equation.
Solution of deriving vertex from the quadratic function?
2 AND 9
What different information do you get from vertex form and quadratic equation in standard form?
The graph of a quadratic function is always a parabola. If you put the equation (or function) into vertex form, you can read off the coordinates of the vertex, and you know the shape and orientation (up/down) of the parabola.
Fill in the blank The of the vertex of a quadratic equation is determined by substituting the value of x from the axis of symmetry into the quadratic equation?
D
