Question

Use the given information to find the equation of the quadratic function. Write the equation in standard form f(x) = ax2 + bx + c.

The zeros of the function are x = 2 and x = −5 , and there is no constant multiplier.

Answer 1

To find the equation of a quadratic function with given zeros, we can use the formula f(x) = a(x - a)(x - b), where a and b are the zeros. For x=2 and x=-5, the equation is f(x) = (x-2)(x+5), which can be expanded to f(x) = x^2 + 3x - 10.

Step-by-step explanation:

To find the equation of a quadratic function, we can use the zeros of the function. In this case, the zeros are x = 2 and x = -5.

When a quadratic function has zeros x = a and x = b, the equation can be written as f(x) = a(x - a)(x - b).

In this case, the equation would be f(x) = (x - 2)(x + 5), which can be expanded to f(x) = x^2 + 3x - 10.

Answer 2

(X-2) (x+5) = 0 / / / Perform the indicated multiplication on the left side. / / / f (x)=x-squared+3x-10