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The formula for the vertex form is:

f(x) = a(x-h)^2 + k

Where (h,k) is the vertex.

The equation also tells us the direction of opening, which is the a value, in this case opens up because a is positive. It tells us the step pattern, which when a is equal to one is always 1,3,5. However, when the a value is a number other than one, you muct multiply the value by 1,3,5.

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What is the equation for vertex form?

The vertex form for a quadratic equation is y=a(x-h)^2+k.


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.


What is the formula for quadratic equation in vertex form?

y=2(x-3)+1


What is a quadratic equation in vertex form for a parabola with vertex (11 -6)?

A quadratic equation in vertex form is expressed as ( y = a(x - h)^2 + k ), where ((h, k)) is the vertex of the parabola. For a parabola with vertex at ((11, -6)), the equation becomes ( y = a(x - 11)^2 - 6 ). The value of (a) determines the direction and width of the parabola. Without additional information about the parabola's shape, (a) can be any non-zero constant.


What is the maximum or minimum of a quadratic equation called?

The vertex.


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.


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


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 are the benefits of writing a quadratic equation in vertex form and the benefits of writing a quadratic equation in standard form Name specific methods you can use while working with one form or?

Writing a quadratic equation in vertex form, ( y = a(x-h)^2 + k ), highlights the vertex of the parabola, making it easier to graph and identify key features like the maximum or minimum value. In contrast, standard form, ( y = ax^2 + bx + c ), is useful for quickly determining the y-intercept and applying the quadratic formula for finding roots. When working with vertex form, methods like completing the square can be employed to convert from standard form, while factoring or using the quadratic formula can be more straightforward when in standard form. Each form serves specific purposes depending on the analysis needed.


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To find the vertex of a quadratic equation in standard form, (y = ax^2 + bx + c), you can use the vertex formula. The x-coordinate of the vertex is given by (x = -\frac{b}{2a}). Once you have the x-coordinate, substitute it back into the equation to find the corresponding y-coordinate. The vertex is then the point ((-\frac{b}{2a}, f(-\frac{b}{2a}))).


How do you convert vertex form to quadratic form?

Do you have a specific vertex fraction? vertex = -b/2a wuadratic = ax^ + bx + c


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