Let $${a}$$ be a constant. For the function $${f(x)=4x^2-4ax+a^2+1}$$ ($${0\leqq x\leqq 1}$$), let's investigate the range of possible values. Since ...

To sketch a quadratic function you must first determine the roots, nature and coordinates of the turning point and the y-intercept. Practice sketching a quadratic function ahead of your National 5 ...

All quadratic functions have the same type of curved graphs with a line of symmetry. The graph of the quadratic function \(y = ax^2 + bx + c \) has a minimum turning point when \(a \textgreater 0 \) ...

👉 Learn how to graph quadratic equations in vertex form. A quadratic equation is an equation of the form y = ax^2 + bx + c, where a, b and c are constants. The graph of a quadratic equation is in the ...

Abstract: This article deals with the stabilization of nonlinear cyber–physical systems (CPS) subject to actuator faults via the fault-tolerant control (FTC) algorithm. First, to tackle the ...