- #1
mymachine
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- 0
How to find the below quadratic function?
y = 0, x = 0
y = 2, x = 1
y = 2, x = -1
Thank you
y = 0, x = 0
y = 2, x = 1
y = 2, x = -1
Thank you
A quadratic function is a type of polynomial function with the form f(x) = ax^2 + bx + c, where a, b, and c are constants. It is a second-degree polynomial because the highest exponent of x is 2.
The vertex of a quadratic function can be found by using the formula x = -b/2a. This will give you the x-coordinate of the vertex. To find the y-coordinate, substitute the x-coordinate into the original function.
The quadratic formula is a formula used to solve for the roots of a quadratic equation, which is a mathematical expression with the form ax^2 + bx + c = 0. The formula is x = (-b ± √(b^2 - 4ac)) / 2a.
Yes, a quadratic function can have zero, one, or two x-intercepts, depending on the value of the discriminant (b^2 - 4ac) in the quadratic formula. If the discriminant is positive, there will be two distinct x-intercepts. If it is zero, there will be one x-intercept. And if it is negative, there will be no x-intercepts.
To graph a quadratic function, you can use the vertex and x-intercepts. Plot the vertex and the x-intercepts on a coordinate plane, and then draw the parabola passing through those points. You can also plot additional points by substituting different x-values into the function and finding the corresponding y-values.