Final answer:
To write a quadratic function in standard form with zeros, use the fact that the zeros are the values of x for which the function equals zero. Substitute a given point into the equation to find the constant 'a', and then write the function in standard form.
Step-by-step explanation:
To write a quadratic function in standard form with zeros, we can use the fact that the zeros of a quadratic function are the values of x for which the function equals zero. Let's say the zeros are x = r1 and x = r2. Then the quadratic function can be expressed as:
f(x) = a(x - r1)(x - r2)
where 'a' is a constant. To find 'a', you can use one of the given points on the parabola and substitute its coordinates into the equation.
For example, if the parabola passes through the point (2, 7), we substitute x = 2 and y = 7 into the equation and solve for 'a'. Once you find 'a', you can write the quadratic function in standard form.