The graph below has a turning point (3, -2). Write down the nature of the turning point and the equation of the axis of symmetry. For the parabola \(y=(x+6)(x-4)\) determine the coordinates and nature ...

A parabola is a U-shaped curve commonly found in quadratic equations and various real-world applications such as bridges, satellite dishes, and projectile paths. This article will walk you through the ...

When asked to solve a quadratic equation, we are really finding the roots – where the parabola cuts the x-axis, therefore when we have the graph drawn, it is very easy to do this. Looking at the graph ...

For many, the phrase “quadratic equation” brings back memories of high school algebra classes and a tangled mess of variables and numbers. Yet, this fundamental mathematical concept is a powerful tool ...

We have often heard remarks such as “We can plot graphs from the mathematical equations”, including equations of lines, equations of curves, and equations of invisible and visible objects. Actually, ...

def plot_parabola(a=1, b=0, c=0): x = np.linspace(-10, 10, 400) # Define x-axis range y = a * x**2 + b * x + c # Parabola equation plt.figure(figsize=(8, 6)) plt.plot ...