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What else can I help you with?
Is the quadratic equation always a function?
Yes it is.
Is a graph of a quadratic function always a parabola?
No. It can also be a circle, ellipse or hyperbola.
Once you have reduced a polynomial to a cubic function you can always use the quadratic formula to finish the problem?
false
Once you have reduced a polynomial to a quartic function you can always use the quadratic formula to finish the problem?
false
How many roots can a quadratic function have in total?
A quadratic function can have up to two roots. Depending on the discriminant (the expression under the square root in the quadratic formula), it can have two distinct real roots, one repeated real root, or no real roots at all (in which case the roots are complex). Therefore, the total number of roots, considering both real and complex, is always two.
Is the quadratic equation always a function?
Yes it is.
Once you have reduced a polynomial to a quadratic function you can always use the quadratic formula to finish the problem?
True
What is the relation quadratic equation to linear equation?
The derivative of a quadratic function is always linear (e.g. the rate of change of a quadratic increases or decreases linearly).
Is a function is always a relation?
Yes. Functions are always relations, but relations are not always functions.
Is a graph of a quadratic function always a parabola?
No. It can also be a circle, ellipse or hyperbola.
What is the difference between quadratic function and quadratic formula?
A quadratic function is a function where a variable is raised to the second degree (2). Examples would be x2, or for more complexity, 2x2+4x+16. The quadratic formula is a way of finding the roots of a quadratic function, or where the parabola crosses the x-axis. There are many ways of finding roots, but the quadratic formula will always work for any quadratic function. In the form ax2+bx+c, the Quadratic Formula looks like this: x=-b±√b2-4ac _________ 2a The plus-minus means that there can 2 solutions.
Once you have reduced a polynomial to a cubic function you can always use the quadratic formula to finish the problem?
false
Once you have reduced a polynomial to a quartic function you can always use the quadratic formula to finish the problem?
false
Is inverse of a function always positive?
No.Some functions have no inverse.
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.
Are all linear equations functions Is there an instance when a linear equation is not a function?
Linear equations are always functions.
The sum of two quadratic functions will always be quadratic?
No. While the sum of two qudratics cannot have a power greater than two, it could have a power of 2, 1 or 0. x2 + 1 is one quadratic (2-x)(2+x) is another quadratic. Their sum is 1, a constant (power = 0).
