Please stop using your (sqrt) notation, with parenthes around "sqrt". Put the parentheses around the expression whose square root you're taking. With your notation it's impossible to tell whether the +1 is inside the radical or outside.Nelo said:::: (sqrt)2(x-4) +1
Is this a horizontal or vertical stretch/compression?
I said it was a vertical, since its outside the bracket.
A quadratic function is a polynomial function of degree 2, meaning it has an equation of the form f(x) = ax² + bx + c, where a, b, and c are constants and x is the variable. It is commonly represented as a parabola when graphed.
To solve a quadratic function, you can use various methods such as factoring, the quadratic formula, or completing the square. These methods help you find the values of x that make the function equal to 0, also known as the solutions or roots of the function.
The standard form of a quadratic function is f(x) = ax² + bx + c, but it can also be written in factored form as f(x) = a(x - p)(x - q), where p and q are the roots of the function. It can also be written in vertex form as f(x) = a(x - h)² + k, where (h,k) is the vertex of the parabola.
You may need to solve a quadratic function in various real-life applications such as finding the maximum or minimum value of a parabolic-shaped object, calculating the trajectory of a projectile, or determining the break-even points in business or economics. It is also a fundamental concept in algebra and calculus.
Some tips for solving quadratic functions include factoring out common factors, finding the roots of the function using the quadratic formula, checking for extraneous solutions, and using graphing techniques to visualize the solutions. It is also important to pay attention to the signs of the coefficients and constants in the function to correctly solve for the solutions.