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That's related to the fact that, for example, x squared is the same as (-x) squared. Note that any equation of the form "x squared + bx + c = 0", with constants a, b, and c can be rewritten as "(x - d) squared + f = 0", for possibly different constants d and f.
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What things are significant about the vertex of a quadratic function?
It is a turning point. It lies on the axis of symmetry.
Could there be a quadratic function that has an undefined axis of symmetry?
Yes and this will happen when the discriminant of a quadratic equation is less than zero meaning it has no real roots.
In a quadratic function if two x-coordiantes are equidistant from the axis of symmetry then will they have the same y coordinate?
Yes, they will.
What is the equation for the axis of symmetry of the quadratic function f(x) 3x2 12x - 2?
It is x = +/- 2 depending on whether the second term in the equation is -12x or +12x.
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 axis of symmetry of a quadratic equation?
If a quadratic function has the points (-4,0) and (14,0), what is equation of the axis of symmetry?
What things are significant about the vertex of a quadratic function?
It is a turning point. It lies on the axis of symmetry.
The line that cuts the graph of a quadratic function in half is called the axis of what?
It is the axis of symmetry.
Could there be a quadratic function that has an undefined axis of symmetry?
Yes and this will happen when the discriminant of a quadratic equation is less than zero meaning it has no real roots.
In a quadratic function if two x-coordiantes are equidistant from the axis of symmetry then will they have the same y coordinate?
Yes, they will.
What part of speech is quadratic function?
A quadratic function is a noun. The plural form would be quadratic functions.
What is the degree of a quadratic function?
A quadratic function will have a degree of two.
What is the equation for the axis of symmetry of the quadratic function f(x) 3x2 12x - 2?
It is x = +/- 2 depending on whether the second term in the equation is -12x or +12x.
Why is a quadratic function called a quadratic function?
A quadratic function is a second degree polynomial, that is, is involves something raised to the power of 2, also know as squaring. Quadratus is Latin for square. Hence Quadratic.
What is the definition of a Vertex form of a quadratic function?
it is a vertices's form of a function known as Quadratic
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 do you call the graph of a quadratic function?
the graph of a quadratic function is a parabola. hope this helps xP
