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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).
What does the rule for a quadratic function tell you about how the graph of the function will look?
If the quadratic function is written as ax2 + bx + c then if a > 0 the function is cup shaped and if a < 0 it is cap shaped. (if a = 0 it is not a quadratic) if b2 > 4ac then the equation crosses the x-axis twice. if b2 = 4ac then the equation touches the x-axis (is a tangent to it). if b2 < 4ac then the equation does not cross the x-axis.
Why does the discriminant determine the number and type of the solutions for a quadratic equation?
A quadratic equation is wholly defined by its coefficients. The solutions or roots of the quadratic can, therefore, be determined by a function of these coefficients - and this function called the quadratic formula. Within this function, there is one part that specifically determines the number and types of solutions it is therefore called the discriminant: it discriminates between the different types of solutions.
How do you find the zeros of any given polynomial function?
by synthetic division and quadratic equation
Which quadratic function when graphed has x-intercepts of -5 and 2?
(x + 5)(x - 2)x2 + 3x - 10this is your quadratic equation
What is thedifrent betweena quadratic equation and a quadratic function?
An equation just has an equal sign. A function is basically just an equation without one!
What is quadratic linear function?
It is a quadratic equation that normally has two solutions
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 is the equation of the parent quadratic function?
x2
Is the quadratic equation always a function?
Yes it is.
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).
The difference between Quadratic function and quadratic equation?
dunctions are not set equal to a value
When do you say that the equation is a function or not?
i may only be 10 yrs old but i can say that an equation is not an function like the graphs of quadratic functions you will only be given an equation
What does the rule for a quadratic function tell you about how the graph of the function will look?
If the quadratic function is written as ax2 + bx + c then if a > 0 the function is cup shaped and if a < 0 it is cap shaped. (if a = 0 it is not a quadratic) if b2 > 4ac then the equation crosses the x-axis twice. if b2 = 4ac then the equation touches the x-axis (is a tangent to it). if b2 < 4ac then the equation does not cross the x-axis.
Is -2x squared plus 2x plus 1 equals 9 a quadratic equation?
Yes it is. The thing that makes it a quadratic equation is that "x squared" in there.
What makes a function have a graph that is quadratic?
That the function is a quadratic expression.
Why does the discriminant determine the number and type of the solutions for a quadratic equation?
A quadratic equation is wholly defined by its coefficients. The solutions or roots of the quadratic can, therefore, be determined by a function of these coefficients - and this function called the quadratic formula. Within this function, there is one part that specifically determines the number and types of solutions it is therefore called the discriminant: it discriminates between the different types of solutions.
